Dry ice is the name for solid carbon dioxide. Instead of melting, solid carbon dioxide sublimes according to the equation: CO2(s) + CO2(g) When dry ice is added to warm water, heat from the water causes the dry ice to sublime more quickly. The evaporating carbon dioxide produces a dense fog often used to create special effects. In simple dry ice fog machines, dry ice is added to warm water in a Styrofoam cooler. The dry ice produces fog until it evaporates away, or until the water gets too cold to sublime the dry ice quickly enough. A small Styrofoam cooler holds 15.0 L of water heated to 85 °C. Use standard enthalpies of formation to calculate the mass of dry ice that should be added to the water so that the dry ice completely sublimes away when the water reaches 25 °C. Assume no heat loss to the surroundings. (The AHºf for CO2(s) is -427.4 kJ/mol.)

Answers

Answer 1

The standard enthalpy of formation is the change in enthalpy when a substance is formed from its elements under standard conditions (at 25°C and 1 atm).

We'll need to use the following balanced chemical equation for the sublimation of dry ice: [tex]CO2(s) + Heat -- > CO2(g)[/tex]

At standard conditions, the enthalpy change for this reaction is equal to the enthalpy of sublimation for CO2(s).

We'll need to determine how much heat is released by the 15.0 L of 85 °C water when it cools down to 25 °C. Then we'll equate that heat loss with the heat that is required to sublime dry ice. Let's begin by calculating the heat lost by the water:

[tex]q = m*C*ΔT[/tex]

whereq = heat lost by the water m = mass of water C = specific heat of waterΔT = change in temperature of water=

[tex](15.0 kg)*(4.18 J/g·°C)*(85-25)°C= 4.74x10^4 J[/tex]

The heat required to sublime dry ice is

[tex]q = n*ΔHf[/tex]

where q = heat required for sublimation of dry ice n = number of moles of dry iceΔHf = enthalpy of formation for CO2(s)Since dry ice has the formula CO2, one mole of CO2 corresponds to one mole of dry ice. Therefore, we can find the number of moles of dry ice needed from the amount of water that we have:

[tex]m(H2O) = (15.0 L)*(1.00 kg/L) \\= 15.0 kg n(CO2) \\= m(H2O)/18.01528 g/mol \\= 832.9 molΔHf(CO2(s))\\ = -427.4 kJ/mol\\= -(427.4 kJ/mol)*(832.9 mol) \\= -3.56x10^5 J[/tex]

Finally, we can equate the heat loss by the water to the heat required to sublime the dry ice:

4.74x10^4 J = -3.56x10^5 J + n(ΔHf)

Solving for n gives n = 0.132 mol

This is the amount of dry ice needed to sublime completely when added to 15.0 L of 85 °C water. Let's convert it to grams:

mass(CO2(s)) = n*(molar mass)

= (0.132 mol)*(44.01 g/mol)

= 5.80 g

Therefore, the mass of dry ice that should be added to the water is 5.80 g.

The calculation of the mass of dry ice required to be added to the water which will completely sublime when the water reaches 25 degrees Celsius is found to be 5.80 grams.

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Related Questions

Freeport-McMoRan Copper and Gold has purchased a new ore grading unit for $80,000. The unit has an anticipated life of 10 years and a salvage value of $10,000. Use the DB and DDB methods to compare the schedule of depreciation and book values for each year

Answers

The depreciation expense of the book value for 10 years with SL method is $7,000.

Straight-Line Method (SL):

The Straight-Line Method is the most basic method and is computed by subtracting the salvage value from the original cost and dividing it by the expected useful life, plus one.

Using this method, the depreciation expense for each year is calculated as:

Depreciation Expense = (Cost - Salvage Value)/(Lifespan + 1)

For this example, the depreciation expense for each year would be calculated as:

Depreciation Expense = ($80,000 - $10,000)/(10 + 1) = $7,000

The schedule of depreciation and book value for each year would look like this:

Year Depreciation        Book Value

1             $7,000  $73,000

2             $7,000  $66,000

3             $7,000  $59,000

4             $7,000  $52,000

5             $7,000  $45,000

6             $7,000  $38,000

7             $7,000  $31,000

8             $7,000  $24,000

9             $7,000  $17,000

10             $7,000  $10,000

Sum-of-the-Years'-Digits Method (SOYD):

The Sum-of-the-Years'-Digits Method (SOYD) is another popular method of depreciation. It is computed by multiplying the asset’s original cost by the sum of the digits of the useful life and subtracting the salvage value.

Using this method, the depreciation expense for each year is calculated as:

Depreciation Expense = N×(Cost - Salvage Value)/(1+2+3+4+ … + N)

For this example, the depreciation expense for each year would be calculated as:

Depreciation Expense = N×($80,000 - $10,000)/(1+2+3+4+ … +10)

The schedule of depreciation and book value for each year would look like this:

Year Depreciation       Book Value

1     $12,819        $67,181

2     $11,301         $55,880

3     $9,784         $46,096

4     $8,266         $37,830

5     $6,749         $30,581

6     $5,231         $24,350

7     $3,714         $19,136

8     $2,196         $14,940

9     $676         $14,264

10     $138         $14,126

Double-Declining Balance Method (DDB):

The Double-Declining Balance Method is a more aggressive approach and is calculated by multiplying the asset’s book value at the start of the year by twice the applicable straight-line rate.

Using this method, the depreciation expense for each year is calculated as:

Depreciation Expense = Book Value ×(2 × Straight-Line Rate)

For this example, the depreciation expense for each year would be calculated as:

Depreciation Expense = Book Value × (2×7,000/80,000)

The schedule of depreciation and book value for each year would look like this:

Year Depreciation   Book Value

1            $14,000           $66,000

2            $11,520           $54,480

3            $8,768            $45,712

4            $5,824            $39,888

5            $3,664            $36,224

6            $1,408            $34,816

7               $0            $34,816

8               $0            $34,816

9               $0            $34,816

10               $0            $34,816

Declining Balance Method (DB):

The Declining Balance Method is a less aggressive approach and is calculated by multiplying the asset’s book value at the start of the year by the applicable straight-line rate.

Using this method, the depreciation expense for each year is calculated as:

Depreciation Expense = Book Value × (Straight-Line Rate)

For this example, the depreciation expense for each year would be calculated as:

Depreciation Expense = Book Value × (7,000/80,000)

The schedule of depreciation and book value for each year would look like this:

Year Depreciation    Book Value

1             $7,000            $73,000

2            $6,024                $66,976

3            $4,914                    $61,062

4            $3,770                $57,292

5            $2,597             $54,695

6            $1,398             $53,297

7              $0             $53,297

8              $0             $53,297

9              $0             $53,297

10              $0             $53,297

Therefore, the depreciation expense of the book value for 10 years with SL method is $7,000.

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In a vinegar analysis lab, 5.0 mL of vinegar (mass =4.97 g ) was obtained from a bottle that read 5.0% acidity. During a typical titration reaction, it was determined that the vinegar required 36.25 mL of 0.10MNaOH to reach the endpoint (Note: the initial reading is 0.00 mL and the final reading is 36.25 mL.). HAC+NaOH→NaAC+H_2O. a) Calculate the fi acetic acid by weight (MM acetic acid =60 g/mol) b) Calculate the accuracy of vinegar analysis (Assume the true value is 5.0045 )

Answers

a) The mass of acetic acid in the vinegar is 0.2175 g.

b) The accuracy of the vinegar analysis is -0.09%.

Exp:

a) To calculate the mass of acetic acid in the vinegar, we need to use the stoichiometry of the reaction and the volume and concentration of NaOH used.

The balanced equation for the reaction is:

HAC + NaOH -> NaAC + H2O

From the balanced equation, we can see that the stoichiometric ratio between acetic acid (HAC) and sodium hydroxide (NaOH) is 1:1.

The moles of acetic acid can be calculated using the equation:

moles of HAC = moles of NaOH

Using the volume and concentration of NaOH, we can calculate the moles of NaOH:

moles of NaOH = volume of NaOH (L) * concentration of NaOH (mol/L)

             = 0.03625 L * 0.10 mol/L

             = 0.003625 mol

Since the stoichiometric ratio is 1:1, the moles of acetic acid in the vinegar are also 0.003625 mol.

Now, we can calculate the mass of acetic acid using its molar mass:

mass of acetic acid = moles of HAC * molar mass of acetic acid

                  = 0.003625 mol * 60 g/mol

                  = 0.2175 g

Therefore, the mass of acetic acid in the vinegar is 0.2175 g.

b) To calculate the accuracy of the vinegar analysis, we can use the formula for accuracy:

Accuracy = (Measured value - True value) / True value * 100%

Measured value = 5.0% acidity

True value = 5.0045

Accuracy = (5.0 - 5.0045) / 5.0045 * 100%

               = -0.09%

The accuracy of the vinegar analysis is -0.09%.

Note: The negative sign indicates that the measured value is slightly lower than the true value.

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MyCLSS fpr land administrators A) provides an electronic tool for land administrators to carry out the approval process of survey plans. Administrators should contact the SGB to obtain access information. B)The new MyCLSS version 2.0 will provide some added functionality and user friendliness. In addition, the new interface is setting the ground to surveyors. C)non of the above D)provides an electronic tool for land to carry out a process of survey plans.

Answers

MyCLSS is an electronic tool designed for land administrators to facilitate the approval process of survey plans. It offers various functionalities and user-friendliness to streamline the tasks involved in land administration. The correct answer is option A).



To gain access to MyCLSS, administrators need to contact the Surveyor General's Branch (SGB) and obtain the necessary login information. This ensures that only authorized individuals can utilize the tool and carry out the approval process.

The upcoming version, MyCLSS 2.0, is expected to introduce additional features and improvements to enhance its functionality and user experience. The new interface will also cater to the needs of surveyors, setting the groundwork for their involvement in the survey plan process.

Therefore, the correct answer is A) MyCLSS provides an electronic tool for land administrators to carry out the approval process of survey plans. Administrators should contact the SGB to obtain access information.

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1. The equation of an Absorbance vs. concentration (uM) plot is y=0.07x+5.3x10^-4. What is the unknown concentration if the absorbance of the unknown is 0.03 at λmax?
1.57x10^-3 u-M
2.63x10^-3 uM
0.421 uM
0.436 uM

Answers

The unknown concentration is approximately 0.421 uM.

To find the unknown concentration, we can use the equation of the absorbance vs. concentration plot, which is given as y = 0.07x + 5.3x10^-4, where y represents the absorbance and x represents the concentration in micromolar (uM).

Given that the absorbance of the unknown is 0.03, we can substitute this value for y in the equation and solve for x:

0.03 = 0.07x + 5.3x10^-4

Rearranging the equation:

0.07x = 0.03 - 5.3x10^-4

0.07x = 0.02947

Dividing both sides by 0.07:

x = 0.02947 / 0.07

Calculating the value:

x ≈ 0.421 uM

Therefore, the unknown concentration is approximately 0.421 uM.

The correct answer is 0.421 uM.

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A fermentation broth containing microbial cells is filtered through a vacuum filter. The broth is fed to the filter at a rate of 100 kg/h, which contains 7%(w/w) cell solids. In order to increase the performance of the process, filter aids are introduced at a rate of 22 kg/h. The concentration of vitamin in the broth is 0.08% by weight. Liquid filtrate is collected at a rate of 92 kg/h; the concentration of vitamin in the filtrate is 0.032%(w/w). Filter cake containing cells and filter aid is removed continuously from the filter cloth. (a) What percentage water is the filter cake? (b) If the concentration of vitamin dissolved in the liquid within the filter cake is the same as that in the filtrate, how much vitamin is absorbed per kg filter aid?

Answers

The percentage of water in the cake is 35.2%

(a) The mass balance of the filter can be determined by considering the mass flow rates and the percentage of solids in the feed and filtrate.

This is shown in the following table:

Mass balance of the filter

Flow rate, kg/h Solids, % Water, % Cell solids, kg/h Filter aid, kg/h

Feed 100 7 93 7 22

Filtrate 92 0 100 0 0

Cake 30 35 65 10.5 19.5

Total 222 17 183 17.5 41.5

The percentage of water in the cake is:

The water content of cake = (mass of water/mass of cake) x 100

= (9.5/27) x 100

= 35.2%

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Find the solution of d^2u/dx^2 + d^2u/dy^2
+d^2u/dz^2=0

Answers

The solution to [tex]d²u/dx² + d²u/dy² + d²u/dz² = 0[/tex] can be derived by using the method of separation of variables. This method is used to solve partial differential equations that are linear and homogeneous.


To solve this equation, assume that u(x,y,z) can be written as the product of three functions:[tex]u(x,y,z) = X(x)Y(y)Z(z)[/tex].
Now substitute these partial derivatives into the original partial differential equation and divide through by [tex]X(x)Y(y)Z(z):\\X''(x)/X(x) + Y''(y)/Y(y) + Z''(z)/Z(z) = 0[/tex]
These are three ordinary differential equations that can be solved separately. The solutions are of the form:
[tex]X(x) = Asin(αx) + Bcos(αx)Y(y) = Csin(βy) + Dcos(βy)Z(z) = Esin(γz) + Fcos(γz)[/tex]
where α, β, and γ are constants that depend on the value of λ. The constants A, B, C, D, E, and F are constants of integration.

Finally, the solution to the partial differential equation is:[tex]u(x,y,z) = ΣΣΣ [Asin(αx) + Bcos(αx)][Csin(βy) + Dcos(βy)][Esin(γz) + Fcos(γz)][/tex]

where Σ denotes the sum over all possible values of α, β, and γ.
This solution is valid as long as the constants α, β, and γ satisfy the condition:[tex]α² + β² + γ² = λ[/tex]
where λ is the constant that was introduced earlier.

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The general solution for the Laplace equation is the product of these three solutions: [tex]\(u(x, y, z) = (A_1\sin(\lambda x) + A_2\cos(\lambda x))(B_1\sin(\lambda y) + B_2\cos(\lambda y))(C_1\sin(\lambda z) + C_2\cos(\lambda z))\)[/tex] where [tex]\(\lambda\)[/tex] can take any non-zero value.

The given equation is a second-order homogeneous partial differential equation known as the Laplace equation. It can be written as:

[tex]\(\frac{{d^2u}}{{dx^2}} + \frac{{d^2u}}{{dy^2}} + \frac{{d^2u}}{{dz^2}} = 0\)[/tex]

To find the solution, we can use the method of separation of variables. We assume that the solution can be expressed as a product of three functions, each depending on only one of the variables x, y, and z:

[tex]\(u(x, y, z) = X(x)Y(y)Z(z)\)[/tex]

Substituting this into the equation, we have:

[tex]\(X''(x)Y(y)Z(z) + X(x)Y''(y)Z(z) + X(x)Y(y)Z''(z) = 0\)[/tex]

Dividing through by [tex]\(X(x)Y(y)Z(z)\)[/tex], we get:

[tex]\(\frac{{X''(x)}}{{X(x)}} + \frac{{Y''(y)}}{{Y(y)}} + \frac{{Z''(z)}}{{Z(z)}} = 0\)[/tex]

Since each term in the equation depends only on one variable, they must be constant. Denoting this constant as -λ², we have:

[tex]\(\frac{{X''(x)}}{{X(x)}} = -\lambda^2\)\\\(\frac{{Y''(y)}}{{Y(y)}} = -\lambda^2\)\\\(\frac{{Z''(z)}}{{Z(z)}} = -\lambda^2\)[/tex]

Now, we have three ordinary differential equations to solve:

[tex]1. \(X''(x) + \lambda^2X(x) = 0\)\\2. \(Y''(y) + \lambda^2Y(y) = 0\)\\3. \(Z''(z) + \lambda^2Z(z) = 0\)[/tex]

Each of these equations is a second-order ordinary differential equation. The general solution for each equation can be written as a linear combination of sine and cosine functions:

[tex]1. \(X(x) = A_1\sin(\lambda x) + A_2\cos(\lambda x)\)\\2. \(Y(y) = B_1\sin(\lambda y) + B_2\cos(\lambda y)\)\\3. \(Z(z) = C_1\sin(\lambda z) + C_2\cos(\lambda z)\)[/tex]

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Which represents a linear function

Answers

The answer is a bc it makes a lot more sense

Your welcome have a good day

The answer is:

d

Work/explanation:

In order for a graph to be a function, it has to pass the vertical line test. Here's how it works.

Draw an imaginary vertical line so that it touches the graph. If the vertical line touches the graph only once, then it's a function. However, if the vertical line touches the graph twice or more times, then it's a relation.

#1 is not a function

#2 is not a function

#3 is not a function

#4 is a function

Therefore, the answer is d (the last graph).

Applications of Volume and Surface Area
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A net for a cube has a total surface area of 150 in.²2. What is the length of one side of a square face?

Answers

The length of one side of a square face of the cube is 5 inches.

A cube has six square faces, and the total surface area of a cube is the sum of the areas of all its faces.

Given that the net of the cube has a total surface area of 150 in², we can divide this by 6 to find the area of each square face.

150 in² / 6 = 25 in²

Since all the faces of a cube are congruent squares, the area of each face is equal to the side length squared. Therefore, we can set up the equation:

side length² = 25 in²

To find the length of one side of a square face, we take the square root of both sides:

√(side length²) = √(25 in²)

side length = 5 in

Consequently, the cube's square face's length on one side is 5 inches.

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Jane is on the south bank of a river and spots her lost dog upstream on the north bank of the river. The river is 15 meters wide, completely still, and runs perfectly straight, east/west. If she swims straight north across the river and stops immediately on shore, her dog will then be 100 meters due east of her. However, she wants to reach the dog as fast as possible and considers taking a diagonal route across the river instead. She can move on land at 5 meters per second and move through water at 4 meters per second. If Jane enters the water immediately and follows the fastest possible route, how many seconds will it take her to reach her dog? Express your answer as an exact decimal. Jane is on the south bank of a river and spots her lost dog upstream on the north bank of the river. The river is 15 meters wide, completely still, and runs perfectly straight, east/west. If she swims straight north across the river and stops immediately on shore, her dog will then be 100 meters due east of her. However, she wants to reach the dog as fast as possible and considers taking a diagonal route across the river instead. She can move on land at 5 meters per second and move through water at 4 meters per second. If Jane enters the water immediately and follows the fastest possible route, how many seconds will it take her to reach her dog? Express your answer as an exact decimal and submit at link in bio.

Answers

Jane should take a diagonal route across the river to reach her dog as fast as possible. To find the fastest possible time, we can apply the law of cosines to calculate the diagonal distance across the river, then use this distance along with the land speed and water speed to determine the total time it takes Jane to reach her dog.

Let the point where Jane starts swimming be A and the point where she stops on the north bank be B. Let C be the point directly across the river from A and D be the point directly across from B. Then ABCD forms a rectangle, and we are given AB = 100 meters, BC = CD = 15 meters, and AD = ? meters, which we need to calculate. Applying the Pythagorean Theorem to triangle ABC gives:

AC² + BC² = AB²,

so

AC² = AB² - BC² = 100² - 15² = 9,925

and

AC ≈ 99.624 meters,

which is the length of the diagonal across the river. We can now use the law of cosines to find AD:

cos(90°) = (AD² + BC² - AC²) / (2 × AD × BC)0 = (AD² + 15² - 9,925) / (2 × AD × 15)

Simplifying and solving for AD gives: AD ≈ 58.073 meters This is the distance Jane must travel to reach her dog if she takes a diagonal route. The time it takes her to do this is: time = (distance across water) / (speed in water) + (distance on land) / (speed on land)time = 99.624 / 4 + 58.073 / 5time ≈ 25.197 seconds

The fastest possible time for Jane to reach her dog is approximately 25.197 seconds.

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Angle C is inscribed in circle O.
AB is a diameter of circle O.
What is the measure of A?

Answers

The measure of <A = 53 degrees

How to determine the measure

To determine the measure of the angle, we need to know the following;

The sum of the interior angles of a triangle is equal to 180 degreesThe diameter of a circle is twice its radiusAngle on a straight line is equal to 180 degreesComplementary angles are pair of angles that sum up to 90 degreesSupplementary angles are pair of angles that sum up to 180 degrees

From the information given, we have that;

AB is a diameter of circle O.

Bute m<B = 37 degrees

Then, we can say that;

<A + <B + <C = 180

<A + 90 + 37 = 180

collect the like terms, we have;

<A = 53 degrees

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Is the following reaction a homogeneous or heterogeneous reaction? CH3COOCH3 (0) + H20 (1) ► CH3COOH (aq) + CH3OH (aq)

Answers

The given reaction is a homogeneous reaction.

In a homogeneous reaction, all the reactants and products are in the same phase, which means they are all either in the gas phase, liquid phase, or solid phase. In the given reaction, all the reactants and products are in the liquid phase, as indicated by the (0) and (1) subscript next to each substance. Both CH3COOCH3 and H2O are liquids, and CH3COOH and CH3OH are aqueous solutions. Since all the substances are in the liquid phase, this reaction is classified as a homogeneous reaction.

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Do you see a scenario where the FDA merges with other authority bodies such as the USDA and in turn have better oversight and control over issues within the dietary supplement industry?

Answers

In the realm of regulatory possibilities, it is conceivable that the FDA could potentially collaborate or merge with other authority bodies such as the USDA to enhance oversight and control over issues within the dietary supplement industry.

Such a scenario could lead to improved coordination and enforcement efforts. However, the feasibility and desirability of such a merger would depend on various factors, including legal considerations, administrative challenges, and policy objectives. It is important to note that any potential changes in the organizational structure and authority of regulatory bodies would require careful evaluation and consideration of their potential impact on public health and safety.

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Suppose we have 24 floors & each floor consists of 4 flats,
2 of them having 3 bedrooms
2 of them having 2 bedrooms.
As a rule of thumb we take 2 persons/bed room.
The daily water requirement is between 50 gal/ day /person (Residential Building),
Solve: The daily water requirement for the whole building

Answers

The total water required for the whole building is:

2 × 96 × 2 × 2 + 3 × 144 × 2 × 2 = 1,152 + 1,728

= 2,880 gallons/day.

Given that there are 24 floors and each floor consists of 4 flats,

2 of which have 3 bedrooms and 2 of which have 2 bedrooms.

Therefore, the total number of flats in the building is 24 × 4 = 96.

Out of these, 2 × 2 × 24 = 96 flats have 2 bedrooms, and

2 × 3 × 24 = 144 flats have 3 bedrooms.

Thus, the total number of 2-bed flats and 3-bed flats are 96 and 144 respectively.

Therefore, the total number of bedrooms in the building is

2 × 96 + 3 × 144 = 576.

Out of these, the number of beds is 2 × 96 × 2 + 3 × 144 × 2 = 864.

Therefore, the total water required for the whole building is:

2 × 96 × 2 × 2 + 3 × 144 × 2 × 2 = 1,152 + 1,728 = 2,880 gallons/day.

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A steel cylinder is enclosed in a bronze sleeve, both simultaneously supports a vertical compressive load of P = 280 kN which is applied to the assembly through a horizontal bearing plate. The lengths of the cylinder and sleeve are equal. For steel cylinder: A = 7,500 mm², E = 200 GPa, and a = 11.7 x 10-6/°C. For bronze sleeve: A = 12,400 mm², E = 83 GPa, and a = 19 x 10- 6/°C. Compute the temperature change that will cause a zero stress in the steel. Select one: O a. 38.51°C O b. 36.41°C O c. 34.38°C O d. 35.72°C

Answers

The temperature change that will cause a zero stress in the steel cylinder enclosed in a bronze sleeve, under a vertical compressive load of 280 kN, is approximately 38.51°C.

Calculate the differential thermal expansion between the steel cylinder and bronze sleeve:

The coefficient of thermal expansion for the steel cylinder is given as[tex]11.7 x 10^(-6)/°C.[/tex]

The coefficient of thermal expansion for the bronze sleeve is given as [tex]19 x 10^(-6)/°C.[/tex]

The difference in thermal expansion coefficients is obtained as[tex]Δa = a_(steel) - a[/tex] (bronze).

Determine the change in temperature that causes zero stress in the steel cylinder:

The change in temperature that results in zero stress in the steel can be calculated using the formula:

ΔT = (Δa * E_(steel) * A_(bronze) * P) / (E_(bronze) * A_(steel))

Substitute the given values into the formula and solve for ΔT.

By performing the calculation, we find that the temperature change that will cause zero stress in the steel cylinder is approximately 38.51°C.

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calculate the vertical reaction
5. Calculate the Vertical reaction of support A. Take E as 10 kN, G as 2 kN, H as 3 kN. also take Kas 12 m, Las 4 m, N as 11 m. 5 MARKS HkN H H KN EkN T G Km F G KN Lm E A B c D Nm Nm Nm Nm

Answers

The vertical reaction at support A is 5 kN.

What is the magnitude of the vertical reaction at support A?

The vertical reaction at support A can be calculated using the equations of equilibrium.

To calculate the vertical reaction of support A, we need to use the equations of equilibrium. Let's assume the vertical reaction at support A is Ra.

Solving for Ra, we find that it equals 5 kN. This means that support A exerts an upward force of 5 kN to maintain equilibrium in the vertical direction.

Summing the vertical forces:

Ra - H - G = 0

Substituting the given values:

Ra - 3 kN - 2 kN = 0

Ra = 5 kN

Therefore, the vertical reaction at support A (Ra) is 5 kN.

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Find the complete general solution, putting in explicit form of the ODE x"-4x'+4x=2 sin 2t. In words (i.e. don't do the math) explain the steps you would follow to find the constants if I told you x(0) = 7 and x'(0)=-144.23. (12pt)

Answers

Combin the complementary and particular solutions to get the general solution. Use the initial conditions x(0) = 7 and x'(0) = -144.23 to determine the values of the constants A and B.

To find the complete general solution to the given ordinary differential equation (ODE) x'' - 4x' + 4x = 2sin(2t), we can follow these steps:

1. Start by finding the complementary solution:
  - Assume x = e^(rt) and substitute it into the ODE.
  - This will give you a characteristic equation: r^2 - 4r + 4 = 0.
  - Solve the characteristic equation to find the roots. In this case, the roots are r = 2 (repeated root).
  - The complementary solution is of the form x_c = (A + Bt)e^(2t), where A and B are constants to be determined.

2. Find the particular solution:
  - Since the right-hand side of the ODE is 2sin(2t), we need to find a particular solution that matches this form.
  - Assuming x_p = Csin(2t) + Dcos(2t), substitute it into the ODE.
  - Solve for the coefficients C and D by comparing the coefficients of sin(2t) and cos(2t) on both sides of the equation.
  - In this case, you will find that C = -1/2 and D = 0.
  - The particular solution is x_p = -1/2sin(2t).

3. Find the complete general solution:
  - Combine the complementary solution and the particular solution to get the complete general solution.
  - The general solution is x = x_c + x_p.
  - In this case, the general solution is x = (A + Bt)e^(2t) - 1/2sin(2t).

Now, if you are given the initial conditions x(0) = 7 and x'(0) = -144.23, you can use these conditions to determine the values of the constants A and B:

1. Substitute t = 0 into the general solution:
  - x(0) = (A + B*0)e^(2*0) - 1/2sin(2*0).
  - Simplifying, we get x(0) = A - 1/2sin(0).

2. Substitute x(0) = 7:
  - 7 = A - 1/2sin(0).
  - Since sin(0) = 0, we have 7 = A.

3. Now, differentiate the general solution with respect to t:
  - x'(t) = (A + Bt)e^(2t) - 1/2cos(2t).
 
4. Substitute t = 0 into the derivative of the general solution:
  - x'(0) = (A + B*0)e^(2*0) - 1/2cos(2*0).
  - Simplifying, we get x'(0) = A - 1/2cos(0).

5. Substitute x'(0) = -144.23:
  - -144.23 = A - 1/2cos(0).
  - Since cos(0) = 1, we have -144.23 = A - 1/2.
  - Solving for A, we find A = -143.73.

6. With the value of A, we can determine B using the equation 7 = A:
  - 7 = -143.73 + B*0.
  - Simplifying, we get B = 150.73.

Therefore, the constants A and B are -143.73 and 150.73, respectively.

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Let f:A→B be a function, and let A0​⊆A,B0​⊆B. Prove that (a) f(f^−1(f(A0​)))=f(A0​); (b) f^−1(f(f^−1(B0​)))=f^−1(B0​).

Answers

(a)We can conclude that

[tex]f(f^{ - 1} (f(A0))) = f(A0)[/tex]

(b) We can conclude that

[tex]f {}^{ - 1} (f(f {}^{ - 1} (B0))) = f^−1(B0)[/tex]

(a) To prove that

[tex]f(f^{ - 1} (f(A0))) = f(A0)[/tex]

we need to show that both sets are equal.

Let's consider the left-hand side (LHS),

[tex]f(f^{ - 1} (f(A0))) [/tex]

By definition,

[tex](f^{ - 1} (f(A0))) [/tex]

represents the pre-image of the set f(A0) under the function f. Applying f to this set gives

[tex]f(f^{ - 1} (f(A0))) [/tex]

which essentially maps every element of

[tex](f^{ - 1} (f(A0))) [/tex]

back to its corresponding element in f(A0).

On the right-hand side (RHS), we have f(A0), which is the image of the set A0 under the function f. This set contains all the elements obtained by applying f to the elements of A0.

Since both the LHS and the RHS involve applying f to certain sets, it follows that

[tex]f(f^{ - 1} (f(A0))) [/tex]

and f(A0) have the same elements. We can conclude that

[tex]f(f^{ - 1} (f(A0))) = f(A0)[/tex]

(b) To prove

[tex]f {}^{ - 1} (f(f {}^{ - 1} (B0))) = f^−1(B0)[/tex]

we need to show that both sets are equal.

Starting with the left-hand side (LHS),

[tex]f {}^{ - 1} (f(f {}^{ - 1} (B0)))[/tex]

represents the pre-image of the set

[tex]f(f {}^{ - 1} (B0))[/tex]

under the function

[tex]f {}^{ - 1} [/tex]

This means that for every element in

[tex]f(f^{ - 1} (B0))[/tex]

we need to find the corresponding element in the pre-image.

On the right-hand side (RHS), we have

[tex]f {}^{ - 1} (B0)[/tex]

which is the pre-image of the set B0 under the function f. This set contains all the elements of A that map to elements in B0.

By comparing the LHS and the RHS, we observe that both sets involve applying

[tex]f^ { - 1} [/tex]

and f to certain sets. Therefore, the elements in

[tex]f {}^{ - 1} (f(f {}^{ - 1} (B0)))[/tex]

and

[tex]f {}^{ - 1} (B0)[/tex]

are the same. Hence, we can conclude that

[tex]f {}^{ - 1} (f(f {}^{ - 1} (B0))) = f^−1(B0)[/tex]

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63 to the power of 2/3

Answers

Answer:    1323

Step-by-step explanation:

(63^2)/3

Answer:15.833

Step-by-step explanation:

When you have a number to a fractional exponent, it is best to break it up.

The number on the bottom of the fraction is the root. The number on the top is the exponent.

Therefore,

(63^2)^(1/3).

63 SQUARED IS 3969. The cubed root of 3969 is 15.833.

Don completes the square for the function y= 2²+6x+3. Which of the following functions reveals the vertex of the parabola?

Answers

Option B, y = (x + 3)^2 - 6, is the correct function that reveals the vertex of the parabola.

To complete the square for the given quadratic function y = x^2 + 6x + 3, we follow these steps:

Group the terms:

y = (x^2 + 6x) + 3

Take half of the coefficient of the x-term, square it, and add/subtract it inside the parentheses:

y = (x^2 + 6x + 9 - 9) + 3

The added term inside the parentheses is 9, which is obtained by taking half of 6 (coefficient of x), squaring it, and adding it. We subtract 9 outside the parentheses to maintain the equation's equivalence.

Simplify the equation:

y = (x^2 + 6x + 9) - 9 + 3

y = (x + 3)^2 - 6

Comparing the simplified equation to the given options, we can see that the function y = (x + 3)^2 - 6 reveals the vertex of the parabola.

The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) represents the vertex coordinates. In this case, the vertex is at the point (-3, -6), obtained from the equation y = (x + 3)^2 - 6.

Option b

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Note: the complete question is:

Don completes the square for the function y = x2 + 6x + 3. Which of the following functions reveals the vertex of the parabola?

A. y = (x + 3)2 – 3

B. y = (x + 3)2 – 6

C. y = (x + 2)2 – 6

D. y = (x + 2)2 – 3

PLEASE HELP BEEN STUCK ON THIS

Answers

Answer:   infinitely many solutions

Step-by-step explanation:

The system is only 1 line.  So it must be that there are 2 equations that are actually the same so they intersect infinitely many times.

If H(5-2x) = x^2+3x+5 for all real numbers x what is the value of h(3)

Answers

Answer:

9

Step-by-step explanation:

[tex]h(5-2x) = x^2+3x+5 ---eq(1)[/tex]

To find h(3),

5 - 2x = 3

⇒ x = 1

sub in eq(1)

[tex]h(3) = 1^2+(3*1)+5\\\\[/tex]

h(3) = 9

The question below was asked in a grade 12 mathematics examination. in a revision session with your learners, you explain the meaning of each piece of information given to draw the graph. Write down your explanation.
A cubic functional f has the following properties.
f(1/2) = f(3)= f(-1) = 0
f^`(2) = f`(-1/3) = 0
Draw a possible sketch graph of f, clearly indicating the x-coordinates of the turning point and all the x-intercrpts

Answers

There will be a local minimum at x = 2 and a local maximum at x = -1/3, with the graph passing through the x-axis at (1/2,0), (3,0), and (-1,0).

The properties given above to draw a possible sketch graph of the cubic function f are as follows:

f(1/2) = f(3) = f(-1) = 0; this means that the x-intercepts of the graph are (1/2,0), (3,0), and (-1,0).

f^`(2) = f`(-1/3) = 0; this means that the turning points of the graph are at x = 2 and x = -1/3.

In order to determine the shape of the graph, we need to determine the sign of the leading coefficient of the cubic function f. Since there is no information given about the sign of the leading coefficient, we will assume that it is positive. If the leading coefficient is negative, the graph would be reflected about the x-axis.

The turning points are (2,0) and (-1/3,0). Since the leading coefficient is positive, the graph will be concave up between the two turning points, and concave down outside of those two points.

Therefore, there will be a local minimum at x = 2 and a local maximum at x = -1/3, with the graph passing through the x-axis at (1/2,0), (3,0), and (-1,0).

A possible sketch of the graph of f, with the x-coordinates of the turning point and all the x-intercepts clearly indicated, is shown below:

Thus, this is the explanation of drawing a possible sketch graph of f by explaining the meaning of each piece of information given to draw the graph.

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Using the VSEPR model, the molecular geometry of the central atom in NCl_3 is a.trigonal b.planar c.tetrahedral d.linear e.pyramidal f.bent

Answers

The correct option of the given statement "Using the VSEPR model, the molecular geometry of the central atom in NCl_3"  is e.pyramidal.

The VSEPR (Valence Shell Electron Pair Repulsion) model is a theory used to predict the molecular geometry of a molecule based on the arrangement of its atoms and the valence electron pairs around the central atom.

In the case of NCl3, nitrogen (N) is the central atom. To determine its molecular geometry using the VSEPR model, we need to consider the number of valence electrons and the number of bonded and lone pairs of electrons around the central atom.

Nitrogen has 5 valence electrons, and chlorine (Cl) has 7 valence electrons. Since there are three chlorine atoms bonded to the nitrogen atom, we have a total of (3 × 7) + 5 = 26 valence electrons. To distribute the electrons, we first place the three chlorine atoms around the nitrogen atom, forming three N-Cl bonds. Each bond consists of a shared pair of electrons.

Next, we distribute the remaining electrons as lone pairs on the nitrogen atom. Since we have 26 valence electrons and three bonds, we subtract 6 electrons for the three bonds (3 × 2) to get 20 remaining electrons. We place these 20 electrons as lone pairs around the nitrogen atom, with each lone pair consisting of two electrons.

After distributing the electrons, we find that the NCl3 molecule has one lone pair of electrons and three bonded pairs. According to the VSEPR model, this arrangement corresponds to the trigonal pyramidal geometry.


Remember, the VSEPR model allows us to predict molecular geometry based on the arrangement of electron pairs, whether they are bonded or lone pairs.

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10 ml of 0.010M HCl is added to 100 ml of water. What is the pH
of the resulting solution ?

Answers

Therefore, the pH of the resulting solution is approximately 3.04.

To determine the pH of the resulting solution, we need to consider the dissociation of HCl in water. HCl is a strong acid and completely dissociates into H+ ions and Cl- ions in water.

First, let's calculate the amount of H+ ions added to the solution. Since the initial concentration of HCl is 0.010 M and 10 mL of it is added, the amount of HCl added is:

(0.010 M) * (0.010 L) = 0.0001 moles

Since HCl dissociates completely, this means we have also added 0.0001 moles of H+ ions to the solution.

Next, let's calculate the total volume of the resulting solution. Since 10 mL of HCl is added to 100 mL of water, the total volume is:

10 mL + 100 mL = 110 mL = 0.110 L

Now, we can calculate the concentration of H+ ions in the resulting solution:

[H+] = (moles of H+) / (total volume)

= 0.0001 moles / 0.110 L

= 0.000909 M

Finally, we can calculate the pH of the solution using the equation:

pH = -log[H+]

pH = -log(0.000909)

= 3.04

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Let W be a subspace of the n-dimensional real inner vector space, and W⊥ be its orthogonal complement. Let U be a subspace of the n-dimensional real vector space such that every vector x in U is perpendicular to any vector of W⊥. Then a. U={0} b. dim(U⊥)≤dim(W⊥) c. dim(U)≤dim(W) d. dim(W⊥)≤dim(U⊥) e. dim(U)>dim(W) The Caley-Hamilton Theorem says a. that the minimal polynomial of a matrix is unique b. that the Jordan Normal Form is unique c. that the characteristic polynomial annihilates its matrix d. that every matrix is similar to its Jordan Normal Form e. that every matrix is row equivalent to its reduced row echelon form

Answers

The statements that are true regarding subspaces and orthogonal complements are :
a. U={0}

b. dim(U⊥)≤dim(W⊥)


a. U={0}: This statement is true because if U consists only of the zero vector, then every vector in U will be perpendicular to any vector in W⊥.

b. dim(U⊥)≤dim(W⊥): This statement is true because the dimension of the orthogonal complement of U, denoted as U⊥, will be at most the dimension of the orthogonal complement of W, denoted as W⊥. The orthogonal complement of U contains all vectors that are perpendicular to every vector in U, and since every vector in U is perpendicular to any vector in W⊥, it implies that U⊥ is contained within W⊥.

c. dim(U)≤dim(W): This statement is not necessarily true. The dimension of U can be greater than the dimension of W. For example, consider a 2-dimensional space where U is a line and W is a point. The dimension of U is 1 and the dimension of W is 0.

d. dim(W⊥)≤dim(U⊥): This statement is not necessarily true. The dimension of W⊥ can be greater than the dimension of U⊥. For example, consider a 2-dimensional space where U is a line and W is a plane. The dimension of U⊥ is 1 and the dimension of W⊥ is 2.

e. dim(U)>dim(W): This statement is not necessarily true. The dimension of U can be less than or equal to the dimension of W. It depends on the specific subspaces U and W and their dimensions.

In summary, the correct statements are: a. U={0}, b. dim(U⊥)≤dim(W⊥).

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Water (cp= 4182 JKK) at a flow rate of 4000 Kg/hr is heated from 1 5°C to 40°C in an oil cooler by engine oil (cp= 2072 JKK) with an inlet temperature of 80°C and a flow rate of 6000 Kg/hr. Take the overall heat transfer coefficient to be 3500 W/m²K. What are the areas required for: a. Parallel Flow. b. Counter Flow.

Answers

The areas required for Parallel flow (A1) and Counter flow (A2) are 1000 m² and 581.4 m² (approx) respectively.

Given data: Mass flow rate of water = 4000 Kg/hr, cp of water (cw) = 4182 J/kg-K

Initial temperature of water (tw1) = 15 °C

Final temperature of water (tw2) = 40 °C

Mass flow rate of engine oil = 6000 Kg/hr, cp of engine oil (ce) = 2072 J/kg-K

Inlet temperature of engine oil (te1) = 80 °C

Overall heat transfer coefficient (U) = 3500 W/m²-K

We are required to find the areas required for Parallel flow (A1) and Counter flow (A2).

The rate of heat transfer can be given as:

q = m1×cp1×(t1-t2)

q = m2×cp2×(t2-t1)

where, m1 = Mass flow rate of water, cp1 = Specific heat of water, t1 = Initial temperature of water, t2 = Final temperature of water.

m2 = Mass flow rate of engine oil, cp2 = Specific heat of engine oil, t1 = Initial temperature of engine oil, t2 = Final temperature of engine oil.

Substituting the values of the given data, we get q = 4000×4182×(40-15)

q = 251280000 Joules/hour and

q = 6000×2072×(15-80)

q = -186240000 Joules/hour

Total rate of heat transfer can be calculated as:

q = m1×cp1×(t1-t2) = - m2×cp2×(t2-t1)

q = 251280000 + 186240000

q = 437520000 Joules/hour

Let's find the areas required for both Parallel flow and Counter flow.

For Parallel flow, Total heat transfer area can be calculated as:

A1 = q/(U×(t2-te1))

Substituting the given data in the above equation, we get

A1 = 437520000/(3500×(40-80))

A1 = 1000 m²2.

For Counter flow, Total heat transfer area can be calculated as:

A2 = (q/[(t2-te2)/ln(t2-te2/t1-te1)]) / U

where, te2 = t1

Substituting the given data in the above equation, we get

A2 = (437520000/[(40-80)/ln((40-80)/(15-80))]) / 3500

A2 = 581.4 m² (approx)

Therefore, the areas required for Parallel flow (A1) and Counter flow (A2) are 1000 m² and 581.4 m² (approx) respectively.

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For corrosion in reinforced concrete a. Explain how concrete protects reinforcement from corrosion. What is passivation? Explain briefly. b. durability against chemical effects.

Answers

Concrete protects reinforcement from corrosion through several mechanisms such as physical barriers and an alkaline environment.

Passivation is a chemical process that occurs in concrete to protect the reinforcement from corrosion.

1. Physical Barrier: The dense and impermeable nature of concrete prevents harmful substances, such as water and chloride ions, from reaching the reinforcement. This barrier prevents corrosion-causing agents from coming into contact with the metal.
2. Alkaline Environment: Concrete has a high alkaline pH, typically around 12-13. This alkalinity creates an environment that is unfavorable for corrosion to occur. The high pH helps to passivate the steel reinforcement.
3. Passivation: Passivation is a chemical process that occurs in concrete to protect the reinforcement from corrosion. When steel reinforcement is embedded in concrete, a thin layer of oxide forms on its surface due to the alkaline environment. This oxide layer acts as a protective barrier, preventing further corrosion by reducing the access of corrosive agents to the steel.

b. Durability against chemical effects:
Concrete is generally resistant to many chemical substances. However, certain chemicals can cause degradation and reduce its durability. Here are a few examples:
1. Acidic Substances: Strong acids, such as sulfuric acid or hydrochloric acid, can attack and deteriorate the concrete matrix. The acidic environment reacts with the calcium hydroxide present in the concrete, leading to the dissolution of cementitious materials and weakening of the structure.
2. Chlorides: Chlorides can penetrate concrete and reach the reinforcement, leading to the corrosion of steel. Chlorides can come from various sources, such as seawater, deicing salts, or industrial processes. The corrosion of steel reinforcement due to chloride attack can cause cracks, spalling, and structural damage.
3. Sulfates: Sulfates, typically found in soil or groundwater, can react with the cementitious materials in concrete, causing expansion and cracking. This process is known as sulfate attack and can lead to the loss of strength and durability of the concrete.

In order to ensure durability against chemical effects, it is essential to consider the environment in which the concrete will be exposed and select appropriate materials and construction techniques. This may involve the use of chemical-resistant admixtures, protective coatings, or proper design considerations to mitigate the effects of chemical exposure.

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7. The differential equation y" + y = 0 has (a) Only one solution (c) Infinitely many (b) Two solutions (d) No solution

Answers

The differential equation y" + y = 0 has infinitely many solutions.Explanation:We can solve this second-order homogeneous differential equation by using the characteristic equation,

which is a quadratic equation. In order to derive this quadratic equation, we need to make an educated guess regarding the solution form and plug it into the differential equation.

Let's say that y = e^(mx) is the proposed solution. If we replace y with this value in the differential equation, we get:y" + y = 0

This is equivalent to:e^(mx) * [m^2 + 1] = 0We can factor this as:e^(mx) * (m + i)(m - i) = 0Since the exponential function cannot be zero,

These lead to:m = -i or m = iTherefore, the general solution of the differential equation is:y = c1 cos(x) + c2 sin(x)where c1 and c2 are arbitrary constants.

Since this is a second-order differential equation, we expect two arbitrary constants in the solution. Therefore, there are infinitely many solutions that satisfy this differential equation.

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1.for thw reaction N_2 + 3 H_2 ----> 2NH_3, the rate if production if NH_3 was observed to be 2.5 x 10^-4 M/s. determine the rate of this reaction?. 2. for the reaction 3H_2 + N_2 ---> 2NH_3 K_c=4.7. what us K_c for the reaction 2NH_3 --> 3H_2 + N_2?

Answers

1) The rate of the reaction is 1.25 x 10^(-4) M/s.

2) The equilibrium constant (Kc) for the reaction 2NH3 → 3H2 + N2 is approximately 0.213.

Lets see in detail:

1. To determine the rate of the reaction, we can use the stoichiometric coefficients from the balanced equation.

In this case, the stoichiometric coefficient of NH3 is 2, which means that for every 2 moles of NH3 produced, 1 mole of the reaction (N2 + 3H2) is consumed.

Therefore, the rate of the reaction can be determined by dividing the rate of NH3 production by the stoichiometric coefficient of NH3:

Rate of reaction = Rate of NH3 production / Stoichiometric coefficient of NH3

Rate of reaction = 2.5 x 10^(-4) M/s / 2

Rate of reaction = 1.25 x 10^(-4) M/s

Thus, the rate of the reaction is 1.25 x 10^(-4) M/s.

2. To determine the equilibrium constant (Kc) for the reverse reaction, we can use the relationship between the forward and reverse reactions.

For the forward reaction:

3H2 + N2 → 2NH3

The equilibrium constant (Kc) is given as 4.7.

The reverse reaction is the reverse of the forward reaction:

2NH3 → 3H2 + N2

The equilibrium constant for the reverse reaction is the reciprocal of the equilibrium constant for the forward reaction:

Kc_reverse = 1 / Kc_forward

Kc_reverse = 1 / 4.7

Kc_reverse ≈ 0.213

Therefore, 1. To determine the rate of the reaction, we can use the stoichiometric coefficients from the balanced equation. I

n this case, the stoichiometric coefficient of NH3 is 2, which means that for every 2 moles of NH3 produced, 1 mole of the reaction (N2 + 3H2) is consumed.

Therefore, the rate of the reaction can be determined by dividing the rate of NH3 production by the stoichiometric coefficient of NH3:

Rate of reaction = Rate of NH3 production / Stoichiometric coefficient of NH3

Rate of reaction = 2.5 x 10^(-4) M/s / 2

Rate of reaction = 1.25 x 10^-(4) M/s

Thus, the rate of the reaction is 1.25 x 10^-4 M/s.

2. To determine the equilibrium constant (Kc) for the reverse reaction, we can use the relationship between the forward and reverse reactions.

For the forward reaction:

3H2 + N2 → 2NH3

The equilibrium constant (Kc) is given as 4.7.

The reverse reaction is the reverse of the forward reaction:

2NH3 → 3H2 + N2

The equilibrium constant for the reverse reaction is the reciprocal of the equilibrium constant for the forward reaction:

Kc_reverse = 1 / Kc_forward

Kc_reverse = 1 / 4.7

Kc_reverse ≈ 0.213

Therefore, the equilibrium constant (Kc) for the reaction 2NH3 → 3H2 + N2 is approximately 0.213.

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Which statement is true regarding seawater (pH8.0) ? a.The concentration of hydroxide ions in this solution is higher than the concentration of hydrogen ions. b.The concentration of hydrogen ions in this solution is higher than the concentration of hydroxide ions.

Answers

In relation to seawater with a pH of 8.0, the correct response is b. In saltwater with a pH of 8.0, there are more hydrogen ions present than hydroxide ions.

The pH scale is used to determine the amount of hydrogen ions (H+) and hydroxide ions (OH-) in water. At pH 7, which is classified as neutral, the concentration of hydrogen ions and hydroxide ions is equal. A pH value below 7 is acidic and indicates a greater concentration of hydrogen ions, whereas a pH value over 7 is basic and indicates a greater concentration of hydroxide ions.

Seawater is often mildly basic, with a pH between 7.5 and 8.5. With a pH of 8.0, the concentration of hydrogen ions in this situation is greater than the concentration of hydrogen ions is higher than the concentration of hydroxide ions. This means that there are more hydrogen ions than hydroxide ions present in seawater at this pH.

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Explain briefly but succinctly in your own words the concept of how and why a so called "AB" type of "tax" will (or living trust) operates and then consider portability and present a brief discussion whether portability or the unified credit effectively negates (for many folks) the need for the AB tax will/trust in estate planning, and why or why not? Not to be forgotten, BRIEFLY explain what an ABC tax will/trust is, as well, and why they were/are useful. The returns from an investment are 3% in Year 1, 6% in Year 2,and 4.8% in the first half of Year 3. Calculate the annualizedreturn for the entire period. This simplified diagram shows the pathways that connect three layers of nerve cells in the retina. Incoming light passes through the ganglion cells and bipolar cells first before striking the photoreceptors at the back of the eyeball. Once stimulated, the rods and cones then transmit information to the bipolar cells (note that one bipolar cell combines information from several receptor cells). The bipolar cells then transmit neural impulses to the ganglion cells. Impulses travel from the make up the optic nerve. to the brain via axons that A) sight B) socket neurons ganglia Question 5 10 Points Light from objects in the visual field projects images on the retinas of the eyes. First, the lens of the eye reverses the image on the retina-so the image of the man falls on the right side of the retina, and the image of the woman falls on the left. Second, the visual system splits the retinal image coming from each eye so that part of the image coming from each eye crosses over to the opposite side of the brain. (Note how branches of the optic pathway cross at the optic chiasma.) As a result, objects appearing in the left part of the visual field of both eyes (the man, in this diagram) are sent to the right hemisphere's visual cortex for processing, while objects in the right side of the visual field of both eyes (the woman, in this diagram) are sent t In general, left visual the right hemisphere "sees" the left visual field, while the left hemisphere "sees" the right visual field. A cortex B arena retinal D) focal Question 6 10 Points Before conditioning, the food (UCS) naturally elicits salivation (UCR). A tone from a tuning fork is a neutral stimulus (NS) and has no effect. During conditioning (the acquisition phase), the tone (NS) is paired with the food (UCS), which continues to elicit the salivation response (UCR). Through its association with the food, the previously neutral tone becomes a conditioned stimulus (CS), gradually producing a stronger and stronger. response (CR). A taste B gas salivation D tusk Question 7 10 Points Unlike Pavlov's dogs, Thorndike's cats faced a problem requiring some kind of voluntary action on their part: how to open the door in the puzzle box to get a food reward lying just outside. To solve this problem, the animals used trial-and-error learning, rather than simple reflexive responses. At first, their responses seemed random, but gradually they eliminated ineffective behaviors. And when the effects of their behavior were desirable (that is, when the door finally opened and the animals got the food), they used this strategy on subsequent trials. This change in behavior based on consequences of previous trials is called the law of effect. Much the same trial-and-error learning occurs when you learn a skill, such as shooting a basketball. A) True B) False Suppose you are the CEO of Golden-Arch. You are considering whether to introduce automatic food ordering machines to improve customer experiences. Each machine, with the price of200,000NTD, would raise additional revenue of5,000NTDevery month for 5 years. As a rational decision maker, should you buy these machines? (A) Costs are 300,000 NTD per machine. (B) Benefits are 200,000 NTD per machine. (C) Net Values are 100,000 NTD per machine. (D) You should not buy the machines. A block slides down a ramp with an incline of 45 degrees, a distance of 50 cm along the ramp at constant velocity. If the block has a mass of 1.5 kg, how much thermal energy was produced by friction during this descent? Use g= 10 m/s2 Alfred agrees to participate in a clinical trial to evaluate the effectiveness of a new drug for treating prostate cancer. He is not sure if he will get the drug or a placebo. If the drugis seen to be effective after a reasonable period of time,it is agreed that the studywill be terminated and Alfred will receive the new drug if he was receiving the placebo.Which of the following ethical principles is this an example? /1) Confidentiality 3)Use of deception 4) Respect/autonomy Chard Ltd. issues 5,000 $100 par value preference shares forcash at $118 per share. Instructions: Journalize the issuance ofthe preference shares. which statements compares the copy and cut commands Compare and contrast the three definitions of green-collar crimeand create charts for the pros and cons of each definition. Discusswhich definition they identify with personally a). Whats the name of a cloud service that is not shared with any other organization even though each customer's data and applications running in the cloud remain hidden from other cloud customers. )b). Describe Customer and supplier intimacy and give some example to support your answer. What happens to a light ray when it incident at an angle greater than the critical angle? The Avett Brothers had net income of $225,000for the year just ended. The followinginformation was available from The AvettBrothers recent year.Decrease in inventory$30,000Depreciation ExpenseDecrease in accounts receivable12,00026.000Increase in accounts payable17.000Decrease in taxes payable6.000Loss from sale of equipment8,000The Avett Brothers' net cash flow fromoperations using the indirect method was Discuss the Big Five personality factors that influencemortality of older adults. Illustrate with examples from the livesof people whom you know. Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.) (4 points) 18. The table lists the estimated numbers in millions of airline passengers at some of thefastest-growing airports in 1992 and 2005.AirportHarrisburg InternationalDayton InternationalAustin Robert MuellerMilwaukee General MitchellSacramento MetropolitanFort Lauderdale - HollywoodWashington DullesGreater Cincinnati71.12.22.22.64.15.35.81992 (as x)1.42.44.74.45.08.110.912.3Using the equation of the regression line, what will y be when x=4.9?A. 20.6B. 100.5C. 10.12005 (as y)D. 5.8 Using the same idea from the previous problem, create a program that sorts an array from smallest to largest for any user without using any Built-In MATLAB functions (loops can be used). Prompt the user to input an array of any size. Tell the user to enter -1 when they are done inputting their array. Once they are done, display their new sorted array. Remember, do not ask the user for the size of the array, only to input -1 to indicate they are done. Which is false about manufacturing when compared to services? a. Output- tangible b. Customer contact- low c. Measuring productivity: difficult d. Uniformity of output: high e. Uniformity of input: high Which of the following is NOT a default MongoDB database. a.Configb.internal c.admin d.local Question 5 (2 points) "You left a mess in the lab that I have to clean up! I guess that's about what I'd expect from a preppie". Which ethical standard best applies to these statements? Harassment Sexual harassment Unfair discrimination Avoiding harm An RC circuit has an unknown resistance and an initially uncharged capacitor of 666 x 106 F When connected to a source potential, it takes the capacitor 27.6 s to become 85.6 % fully charged. What is the resistance of the circuit? Enter a number rounded to the nearest 100 place.