At noon on a clear day, sunlight reaches the earth's surface at Madison, Wisconsin, with an average intensity of approximately 5.00 kJ·s−1·m−2. If the sunlight consists of photons with an average wavelength of 510.0 nm, how many photons strike a 7.60 cm2 area per second?

Answers

Answer 1

There are 2.08 x 10¹⁸ photons/sec.

Wave energy:

E = nhc/λ

3000 = (n x 6.63 x 10⁻³⁴ x 3 x 10⁸)/(510 x 10⁻⁹)

n = 7.69 x 10²¹ photons/sec/m²

2.70 cm² = 2.70 /10,000 m²

= 2.7 x 10⁻⁴

photons/sec = 7.69 x 10²¹ x 2.7 x 10⁻⁴

= 2.08 x 10¹⁸ photons/sec.

Hitting a square meter solar panel at right angles requires about 30,000 photons per second producing 1 watt of energy at 100% efficiency. The numbers obtained without assuming constant spectral power distribution and photon energy will be dealt with in a later post, but for now, we assume that a daylight standard D bulb at 5300 K will work around 11,000 Suffice it to say. Chemical reactions in the body not only release energy and produce heat, but they also release small amounts of photons, the elementary particles of light.

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Related Questions

What is the molecular geometry of CF4

Answers

The molecular geometry of CF4 is tetrahedral because it has all fluorine atoms in the surrounding.

Which of the following solutions has the highest boiling point?


Which of the following solutions has the lowest boiling point?

Answers

Boiling point of Alcl3 would be highest .

As, i of Na2S= 3

2) i of NaNO3= 2

3) i of Alcl3= 4

4) i of Sucrose= 1 (As it doesn't show any kind of dissociation)

5) i of Mg(clo4)2= 3

What is boiling point elevation?

Although we're assuming water as the solvent, boiling point elevation also depends on the solute concentration and the number of particles the solute breaks down into. The total number of particles in solution affects aggregative qualities like boiling point elevation. Here, water is the solvent. As a result, the boiling point of all solutions will be elevated above the boiling point of water.

Boiling point  van't hoff factor.

What is van't hoff factor ?

The Van't Hoff factor is the ratio of a substance's mass concentration to the concentration of the particles it dissolves into. How much a substance associates or dissociates in a solution is determined by the Van't Hoff factor.

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Question 1
The hybridization of the central nitrogen atom in the molecule N 20 is

Answers

Answer:

NO2 has sp2 hybridization in the traditional sense.

Explanation:

Single electron orbitals are often pure, unhybridized p-orbitals, such those seen in the methyl free radical.

However, when the central atom is joined to strongly electronegative atoms or groups, the single electron orbital is said to be hybridized. It happens as a result of the core atom's decreasing electron density, which draws in odd electron orbital density and reduces the size of the odd electron orbital. As a result, the odd-electron orbital takes on some "s" character and becomes hybridized.

ClO2, ClO3, and CF3 are sp3 hybridized for the same reason.

What is the pH of a solution prepared by adding 20.7 mL of 0.10 M sodium hydroxide to 60.5 mL of 0.21 M acetic acid solution?

Report your answer to 2 decimal places.

Answers

The pH of the solution can be obtained as 13.13.

What is the pH of the solution?

The pH is the negative logarithm of thee concentration of the hydrogen ions that is present in the solution.

The Number of moles of sodium hydroxide = 20.7/1000 L * 0.10 M

= 2.07 * 10^-3 moles

Number of moles of acetic acid = 60.5/1000 * 0.21 M

= 1.27 * 10^-2 moles

Since the reaction is 1:1. the sodium hydroxide is in excess.

Number of moles of excess hydroxide = 1.27 * 10^-2 moles - 2.07 * 10^-3 moles = 0.011 moles

Total volume = 20.7 mL + 60.5 mL = 81.2 mL or 0.0812 L

Concentration of excess hydroxide ions = 0.011 moles/0.0812 L

= 0.135 M

pOH = -log(0.135 M)

= 0.87

pH = 14 - 0.87

= 13.13

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Carbohydrates serve as a vital source of chemical energy to the human body. Carbohydrates are broken down into smaller units of glucose, among other sugars, providing energy to various muscles and organs, including the brain. On average, for every 10.0 g of carbohydrates consumed, the body will store 170 kJ of energy.

Answers

The kilocalories of the 170KJ energy value = 40.6 kcal

What are carbohydrates?

Carbohydrate is defined as the major class of nutrients in food and food products that are organic macromolecule which are capable of giving body energy when broken down to its smallest unit called glucose.

The functions of carbohydrates in the body include the following:

They provide energy to the body.They spare the use of proteins in the body for energy.They assist in lipid metabolism.

For every 10 g of carbohydrates that is being consumed, 170 kilojoules of energy is obtained.

To convert 170 kilojoules to kilocalories;

1 kilocalorie = 4.184 kilojoules

X kcal = 170 kJ

make X kcal the subject of formula,

X kcal = 170/4.184

X kcal = 40.6 kilo calories.

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Magnesium + Silver Nitrate →Determine the reaction typeFinish the word equationWrite a balanced chemical reactionFor Double displacement include a net ionic equation (you don’t know double displacement yet!)For single replacement state the transfer of electrons

Answers

Explanation:

For this question, we need to know that:

Magnesium is Mg

Silver Nitrate is AgNO3

So the complete and balanced reaction is:

Mg + 2 AgNO3 → Mg(NO3)2 + 2 Ag

Also, we need to know that is it a single replacement equation.

Single replacement reactions are those that occur between a compound substance (made up of more than one chemical element) and a simple substance (made up of only one type of chemical element), giving rise to another simple substance and another compound.

Generically, we have:

A + CD → AC + D

This is the case of this reaction.

Answer:

Determine the reaction type

Single replacement.

Finish the word equation

Magnesium + Silver Nitrate → Magnesium nitrate + silver

Write a balanced chemical reaction

Mg + 2 AgNO3 → Mg(NO3)2 + 2 Ag

For single replacement state the transfer of electrons

Electrons are transferred from magnesium to silver.

Gaseous ammonia chemically reacts with oxygen (O₂) gas to produce nitrogen monoxide gas and water vapor. Calculate the
moles of water produced by the reaction of 1.1 mol of ammonia. Be sure your answer has a unit symbol, if necessary, and
round it to 2 significant digits.
?

Answers

The moles of water produced by the reaction of 1.1mol of ammonia with oxygen gas will be 1.65moles.

According to given reaction in the question,

2NH₃(g) + 5/2O₂ --- 2NO(g) + 3H₂O(g)

1.1mole

We know,

mole of H₂O ÷ coefficient of H₂O = mole of NH₃ ÷ coefficient of NH₃

mole of H₂O ÷ 3 = 1.1 ÷ 2

moles of H₂O = 1.65 or 1.6 moles

Therefore, the moles of water produced by the reaction of 1.1mol of ammonia with oxygen gas will be 1.65moles.

When the gaseous ammonia reacts with the oxygen we obtain nitrogen monoxide and water vapour. This reaction is a combustion reaction as well as a red-ox reaction.

Moreover, it is an exothermic process as a large amount of heat is liberated.

An oxidation-reduction(redox) reaction is a type of chemical reaction that involves a transfer of electrons between two species.

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Sperm penetrate the oocyte using acrosomal enzymes. It must penetrate both the __________ (cellular layer) and the underlying ____________ (glycoprotein layer).

Answers

Answer:

I believe the answers are "granulosa cells" and "zona pellucida"

In sexual reproduction in humans, the sperm  penetrate the oocyte using acrosomal enzymes. It must penetrate both the granulosa cells and zona pellucida.

What is sexual reproduction?

Sexual reproduction is a type of reproduction where the offsprings are produced by the combination of genetic material of two individuals which are of different sexes.

It is the dominant form of reproduction in living beings. Here, the genetic information is stored in chromosomes which are present in the nucleus of reproductive cells which are called gametes.Gametes fuse to form a diploid zygote.Zygote then develops into a new living being.

Because of sexual reproduction variations in living beings are possible because of reshuffling of genetic material. Here, haploid gametes form diploid zygotes except in case of bacteria.

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How do I match this?

Answers

Answer:

Below

Explanation:

Br and I: Similar chemical properties

Cl and Se: Nonmetals

Dy and Es: Inner transition metals

Ca-39 and Ca-38: Isotopes

Bronze and pewter: Alloys

Al2+ and S2-: Ions

Particle X has 16 protons, 17 neutrons and 18 electrons. Particle X

an atom of a metal
an atom of a noble gas
an anion
a cation

Answers

X is Sulfur because S has 16 protons and since it has more electrons than the number of protons the charge is negative, which means it’s an anion.

someone pls tell me what this is

Answers

Answer:

Rights

Explanation:

Every human has their rights such as those stated. These rights are what is protected by law.

Over time, a crusty deposit of calcium carbonate forms on the heating element inside a kettle.
Use your understanding of acids and bases to suggest a way to remove the deposit

Answers

Calcium carbonate deposits in heating elements can be eliminated by way of cleansing these with an acid (like vinegar or lemon juice). This acid will react with the calcium carbonate to provide salt, water, and carbon dioxide gas.

Calcium carbonate is a nutritional supplement used whilst the amount of calcium taken in the weight loss plan is not enough. Calcium is needed via the frame for healthful bones, muscle groups, anxious devices, and the heart. Calcium carbonate also is used as an antacid to relieve heartburn, acid indigestion, and a disillusioned stomach.

Calcium carbonate is the salt of a sturdy base (due to the presence of the calcium ion) and a vulnerable acid (because of the presence of the carbonate ion, generally derived from carbonic acid). consequently, this salt is mildly basic in nature.

Calcium carbonate reacts with water that is saturated with carbon dioxide to shape the soluble calcium bicarbonate. This response is essential in the erosion of carbonate rock, forming caverns, and results in difficult water in lots of regions.

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Shown below is a carbocation intermediate in an electrophilic addition reaction of HCl with two different alkenes. Draw structural formulas for both of the alkenes.

Answers

Carbocation intermediate in an electrophilic addition reaction of HCl with two different alkenes and the structural formulas for both of the alkenes are 1,3 dimethyl butene

Carbocation is the molecule in which the carbon has the positive charge and three bond and it is an organic molecule, an intermediate, that forms as a result of the loss of two valence electrons, normally shared electrons, from a carbon atom that already has four bonds

Here given diagram is attached and is a carbocation intermediate in an electrophilic addition reaction of HCl with two different alkene and then two alkenes are form which is 1,3 dimethyl butene and given below the structure formula for 1,3 dimethyl butene

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Help
- Correct answer to multiple choice = marked, rated to max& thanked

Answers

95 is the answer to your question because 40kpa

Complete and balance the reaction for the reduction of silver ions by nitrite under basic conditions.

Ag+(aq)+NO−2(aq)⟶Ag(s)+NO−3(aq)

Answers

To see the total number of atoms of an element we need to multiply stoichiometry of that element to the number that is written on the foot of that element. Thus the balanced equation is

NaNO₂(aq)+AgNO₃(s)→NaNO₃(aq)+AgNO₂(s)

What is Balanced equation?

Balanced equation is the one in which the total number of atoms of a species on reactant side is equal to the total number of atoms on product side

The unbalanced equation is

NaNO₂(aq)+AgNO₃(s)→NaNO₃(aq)+AgNO₂(s)

Sodium atoms on reactant and product side is 1

Silver atoms on reactant and product side is 1

Nitrogen atoms on reactant side and product side is 2

Oxygen atom on reactant side and product side is 5

Thus the balanced reaction is

NaNO₂(aq)+AgNO₃(s)→NaNO₃(aq)+AgNO₂(s)

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It's the northern summer solstice. Explain what would happen to the length of the day if you took a trip from Mexico City north to Anchorage, Alaska, and why.

Answers

Prior to and following the summer solstice, the sun angle is high and there are the most daylight minutes. The amount of daylight gets less as the sun starts to descend in the sky.

What is Northern Summer Solstice ?

The North Pole is tilted farther toward the sun on the June solstice than any other day of the year. As a result, the Northern Hemisphere will have its longest day and shortest night on June 21.

According to the Gregorian calendar, the June solstice is the solstice on Earth and takes place every year between June 20 and June 22. The June solstice is the summer solstice in the Northern Hemisphere and the winter solstice in the Southern Hemisphere. The northern solstice is another name for it.

Midsummer, also known as the summer solstice, is the time of year when a planet's rotational axis, or geographic pole, in either its northern or southern hemisphere, is most inclined toward the star it orbits. The Earth's maximum axial tilt toward the Sun is 23.44° on the summer solstice.

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Rosa is going to pour the liquid substance from the container shown into a large bucket.
Which observation will Rosa most likely make?
A. The mass of the liquid substance will increase.
B. The liquid substance will immediately turn into a gas.
C. The liquid substance will begin to change colors.
D. The liquid substance will take the shape of its container.

Answers

Anything around us that can be physically seen and touched are matter. Matter can be solid, liquid or gas. To solve this question we need to know the all properties of liquid so option D is correct option.

What is matter?

Matter is a substance that has some mass and can occupy some volume. Matter that is given is liquid which has property that it occupies the volume of container in which it is kept.

There is a law called conservation of mass, mass can never be destroyed. To change and color of liquid  we need to heat up the liquid and that we are not doing over here.

Thus option D is correct option.

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Nitrogen is collect over water at 40 Celsius . The partial pressure due to water vapor is 7.38 kPA at 40 Celsius , what is the partial pressure of nitrogen if the total pressure is 99.42 kPa?

Answers

There is a partial pressure for each gas in a mixture of gases, which is the pressure that would exist if that gas alone filled the whole volume of the initial combination at the same temperature.

One of two methods can be used to compute partial pressures:

Use PV = nRT to calculate the individual pressure of each gas in a mixture.

Utilizing the mole fraction of each gas, determine the proportion of pressure from the total pressure that may be ascribed to each individual gas.

When attempting to predict gas movement, partial pressure must be taken into account. Recall that the pressure of gases usually equalizes across nearby locations. From one area with a greater partial pressure to another with a lower partial pressure, a gas will move.

By dividing the mole fraction by the total pressure of a gas, one can calculate its partial pressure. Since it is based solely on the quantity of particles present rather than the nature of the gas, the Ideal Gas Equation remains true for mixes of gases just as it does for pure gases.

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If 0.250 mol of red phosphorus reacts with 0.625 mol of yellow sulfur , what is the empirical formula of the product

Answers

Answer:

P2S5

Explanation:

This answer is pretty much asking for two numbers that are mutually prime and have a ratio of 0.25 to 0.625
0.25 = 1/4
0.625 = 5/8

the ratio of 0.25 to 0.625 would thus equal 1/4:5/8 which is 0.4
So, two numbers that are mutually prime and divide to 0.4
Set up the equation:
x/y = 0.4 where x is the moles of red phosphorus and y is the moles of sulfur.
With some trial and error, it's easy to find out that 2 and 5 are the solutions.
Since x = 2 and y = 5, the subscripts for the PxSy compounds are found.
P2S5 would be the empirical formula

An oil tanker holds 3.24 • 10^7 gallons of crude oil. The mass of the oil is 2.13 • 10^8 pounds. What is the density of the oil in kilograms per liter?

Answers

Answer

The density of the oil in kilograms per liter is 0.78775

Explanation

Note: 1 gallon = 3.78541 liters

1 pound = 0.453592 kilogram

Given:

The gallons (volume) of crude oil = 3.24 x 10⁷ gallons

The mass of the crude oil = 2.13 x 10⁸ pounds

Conversion:

The volume in liters of 3.24 x 10⁷ gallons of crude oil will be

[tex]\begin{gathered} =3.78541\times3.24\times10^7 \\ =1.22647\times10^8\text{ liters} \end{gathered}[/tex]

Also, the mass in kilograms of 2.13 x 10⁸ pounds of crude oil will be

[tex]\begin{gathered} =0.453592\times2.13\times10^8 \\ =9.6615\times10^7\text{ kilograms} \end{gathered}[/tex]

Now, we shall use the formula below to calculate the density

[tex]\begin{gathered} \text{Density = }\frac{Mass\text{ in kilograms}}{\text{Volume in liter}} \\ \text{Mass in kilograms = 9.6615 }\times10^7 \\ Volume\text{ in liters =}1.22647\times10^8 \\ \therefore Density\text{ in kilograms per liter = }\frac{\text{9.6615 }\times10^7}{1.22647\times10^8}=0.78775^{} \end{gathered}[/tex]

Perform the following operationand express the answer inscientific notation.9.2x107 = 3.7x109[][ ? ]x10?)Coefficient (green)Exponent (yellow)Enter

Answers

ANSWER

Coefficient = 2.49

Exponent = -2

STEP-BY-STEP EXPLANATION:

From the question provided, you are asked to simplified the below expression

[tex]9.2\cdot10^{7\text{ }}\div3.7\cdot10^9^{}[/tex]

The expression can be re-arrange below as

[tex]\frac{9.2\cdot10^7}{3.7\cdot10^9}[/tex][tex]\begin{gathered} \text{ According to the 2nd law of indicies, recall that, } \\ x^a\text{ }\div x^b=x^{a\text{ - b}} \end{gathered}[/tex][tex]\begin{gathered} =\frac{9.2}{3.7}\cdot10^{7\text{ - 9}}^{} \\ =2.49\cdot10^{-2} \end{gathered}[/tex]

Therefore, the coefficient is 2.49 and the Exponent is -2

When lithium chloride, LiCl, dissolves in water, which of the following is formed in aqueous solution?

Answers

When lithium chloride, LiCl, dissolves in water, it forms lithium ions, [tex]Li^{+}[/tex], in aqueous solution with water, [tex]H_{2}O[/tex].

Water has a higher solubility for lithium chloride than non-polar solvents. The LiCl crystal is destroyed as a result of the interactions between the ions and the polar water molecules, and the hydrogen bonding structure of the H2O molecules in the liquid water is also disrupted, allowing the ions to be incorporated among the water molecules.

The ions in the crystal lattice would not be attracted to non-polar molecules very strongly. LiCl would continue to be in the crystal structure while the non-polar molecules would continue to be attracted to one another by the weak London force.

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Sue has a cup of hot chocolate and a cup of cold chocolate milk. Select the statement that describes which drink
has more kinetic energy.

Answers

The hot chocolate milk should have more kinetic energy because the particles are moving faster due to higher temperature

Answer:

The cup of hot chocolate.

Explanation:

Thermal energy is measured based on the amount of kinetic energy in an object. Thus, concluding that the cup of hot chocolate contains more kinetic energy than the cup of cold chocolate milk.

Hope this helps!

(btw, brainliest would be appreciated! Thanks!

Determine the total volume of all gases (at STP) formed when 50.0 mL of TNT (C3H5(NO3)3, d=1.60 g/mL, molar mass=227.10 g/mol reacts according to the following reaction

Answers

The total pressure would be 1189 atm.

What is pressure?

pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed .

Sol-the reaction is -

4C3H5(NO3)3--->6N2+O2+12CO2+10H2O

As we have the volume of TNT .we must know the density to find out the mass and then, apply molar mass to calculate mole.

TNT density = 1.654 g/mL

Density = mass / volume

1.654 g/mL = TNT mass / 50mL

1.654 g/mL . 50mL = TNT mass → 82.7 g

Mass / Molar mass = Mol → 82.7 g / 227.1 g/m = 0.364 mole

Now, we can calculate all the mole for the formed gases.

4 mole of TNT produce 6 mole N₂ ___ 1 mol O₂ __ 12 mole dioxide __ 10 mole of water

0.364 mole of TNT will produce:

- (0.364  . 6) /4 = 0.546 mole of produced nitrogen

- (0.364 . 1) /4 =  0.091 mole of produced oxygen

- (0.364 . 12) /4 = 1.092 mole of produced dioxide

0.364 . 10) /4 = 0.91 mole of produced vapour of water.

Total mole = 0.564 + 0.091 + 1.092 + 0.91 = 2.657 mole

Let's apply the Ideal Gases Law to find the total pressure, at STP

In STP, pressure is 1 atm for 1 mole at 273K, in a volume of 22.4 mL

But we have a volume of 50mL, and we have 2.657 total mole

Don't forget to convert 50 mL to L, cause the units for R

50 mL = 0.050L

P . 0.050L = 2.657 mol . 0.082L.atm/mol.K . 273K

P = (2.657 mol . 0.082L.atm/mol.K . 273K) / 0.050L

Thus

P=1189 atm

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Glucose and fructose are simple sugars with the molecular formula C6H12O6. Sucrose (table
sugar) is a complex sugar with molecular formula C12H22O11 that consists of a glucose unit
covalently bound to a fructose unit (a water molecule is eliminated as a result of the reaction
between glucose and fructose to form sucrose).a. Calculate the energy released as heat when a typical table sugar cube of mass 1.5 g
is burned in air.
b. To what height could you climb on the energy a table sugar cube provides assuming
25 % of the energy is available for work?
c. The mass of a typical glucose tablet is 2.5 g. Calculate the energy released as heat
when a glucose tablet is burned in air.
d. To what height could you climb on the energy a tablet provides assuming 25% of
the energy is available for work?

Answers

The energy released as heat when a typical table sugar cube of mass 1.5 g is burned in air is 24.78 KJ energy.

What is energy?

Energy is defined as the quantitative property that is transferred to a body or physical system and is visible in the performance of work as well as in the form of heat and light.

A. Table sugar is sucrose.

According to the data, its molecular formula is C12H22O11 and its molecular weight is 342 g when 1 mole of sucrose gives 5650 KJ/mole energy on combustion. 1.5 g equals 0.00438 moles of energy is 24.78 KJ.

B. According to Newton's laws, 25% of the above released energy is used for work, which equals 6.19 KJ.

6.19 KJ = 6190 joules

U= mgh

U= ENERGY = WORK

m = mass of the object here mass of a normal adult

g = gravity =9.8 m/s2

h = height in meters

The height that can be climbed based on the above data is = 12.63m.

C. When 1 mole of glucose gives 2805 KJ/mole energy on combustion, its molecular formula  is C6H12O6

Molecular weight is 180 g.

2.5 g equates to 0.0138 moles producing 38.95 kJ of energy.

D. 25% of the previously released energy is used for work, which means

According to Newton's laws, 9.73kJ is used.

9.73 KJ = 9730 joules

U= mgh

U= ENERGY = WORK

m = mass of the object here mass of a normal adult

g = gravity =9.8 m/s2

h = height in meters

Height = 19.85m based on the above data

Thus, the energy released as heat when a typical table sugar cube of mass 1.5 g is burned in air is 24.78 KJ energy.

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what is the maximum number of electrons that can occupy the 3rd orbitals

Answers

Using the Linus Pauling electronic configuration rules, we can see that the total number of possible electrons in the orbital 3d is:

1s2 2s2 2p6 3s2 3p6 4s2 3d10, therefore the maximum amount if 10 electrons according to the rules of electronic configuration

Which of the following sets of quantum numbers contains an error?Group of answer choices:n = 4, l = 3, ml = -2, ms = -1/2n = 2, l = 0, ml = +2, ms = -1/2n = 3, l = 2, ml = 0, ms = -1/2n = 3, l = 1, ml = +1, ms = +1/2n = 2, l = 1, ml = 0, ms = -1/2

Answers

Answer

n = 2, l = 0, ml = +2, ms = -1/2

n = 3, l = 1, ml = +1, ms = +1/2

Explanation

In atoms, there are a total of four quantum numbers namely;

The principal quantum number (n), n = 1, 2, 3, ....

The orbital angular momentum quantum number (l), for n = 3, l = (n - 1) = 0, 1, 2, The magnetic quantum number (ml), for l = 2, ml = (-l, 0, +l) = -2, -1, 0, +1, +2, and The electron spin quantum number (ms), ms = -1/2, +1/2

Therefore, the following sets of quantum numbers contains an error among the given sets:

n = 2, l = 0, ml = +2, ms = -1/2

n = 3, l = 1, ml = +1, ms = +1/2

explain state function and exact differential? ​

Answers

Answer:

State Function: A system will be said to have a state function when its properties are independent of the path followed to carry out the state and it is fixated on a particular state.

Examples of state function are Pressure, Temperature, Mass, Volume & all the thermodynamics quantity (H, G, A, U, S).

A quantity which depends on the path followed is known as a path function. In thermodynamics, there are only two path functions: work and heat.

 

Exact differential: The differential of a state function for an infinitesimally small change in its property is called an exact differential.

Mathematically say phi is a function of x and y,

[tex] \phi \: = f(x, y)[/tex]

The overall change in phi i.e. dΦ will be,

[tex]d \phi \: = ( \frac{∂ \phi}{∂x})_ydx + ( \frac{∂ \phi}{∂y})_xdy[/tex]

let,

[tex]( \frac{ ∂\phi}{∂x})_y = m,( \frac{∂ \phi}{∂y})_x = n[/tex]

if Φ is a state function of x and y then,

[tex]( \frac{ ∂m}{∂y})_x =( \frac{ ∂n}{∂x})_y[/tex]

Cross reciprocality theorem.

substituting the value of m & n,

[tex][\frac{ ∂}{∂y}( \frac{ ∂\phi}{∂x})_y]_x =[ \frac{ ∂}{∂x}( \frac{ ∂\phi}{∂y})_x]_y[/tex]

Simplifying,

[tex] \frac{ {∂}^{2} \phi }{∂y \cdot ∂x} = \frac{ {∂}^{2} \phi }{∂x \cdot ∂y}[/tex]

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Chromium has three naturally-occurring isotopes. It is 80% Chromium-52, 14% Chromium-53, and 6% Chromium-51. What is the average atomic mass?520.80 amu 5208 amu 52.08 amu 79.62 amu
PLEASE HELP

Answers

The average atomic mass of chromium with three isotopes is 52.08amu (option C).

How to calculate average atomic mass?

Average atomic mass is the weighted average of the atomic masses of the naturally occurring isotopes of an element.

The average atomic mass of an isotopic element can be calculated as follows:

80% Chromium-5214% Chromium-536% Chromium-51

Average atomic mass = (80% of 52) + (14% of 53) + (6% of 51)

Average atomic mass = 41.6 + 7.42 + 3.06

Average atomic mass = 52.08amu.

Therefore, 52.08amu is the average atomic mass of the chromium isotopes.

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The equation of line t is y=–
1

7
x–2. Parallel to line t is line u, which passes through the point (7,6). What is the equation of line u?

Answers

The equation of line u, given that it is parallel to line t is:

y = –17x – 113

How to determine the equation of line u

We know that the equation of straight line is given as

y = mx + c

Where

y is the coordinate on y-axis x is the coordinate on x-axis m is the slope or gradient c is the intercept on y-axis

First, we shall determine the slope of line u. This can be obtained as follow:

y = –17x – 2

Comparing y = mx + c with y = –17x – 2,

The slope (m₁) = –17

Recall,

The slope of parallel lines are equal.

Thus,

The slope of line u, is given as:

m₂ = m₁ = –17

Finally, we shall obtain the equation of line u as follow:

Coordinate = (7, 6) x coordinate 1 (x₁) = 7y coordinate 1 (y₁) = 6Slope of line u (m₂) = –17Equation of line u=?

y – y₁ = m₂(x – x₁)

y – 6 = –17(x – 7)

Clear bracket

y – 6 = –17x – 119

Rearrange

y = –17x – 119 + 6

y = –17x – 113

Thus, the equation of line u is y = –17x – 113

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Answer:

Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient so gradient of line u is -17.

Equation of line u is y = -17x + c

Substitute (7,6) into the equation to find c.

6 = -17(7) + c

c = 125

Hence, equation of line u is y = -17x + 125.

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