explain how you would calculate the q for warming 100.00 grams of liquid water from 0*C to 100*C

Answers

Answer 1

It would require 418,000 Joules of heat (q) to warm 100.00 grams of liquid water from 0°C to 100°C.

To calculate the heat (q) required to warm 100.00 grams of liquid water from 0°C to 100°C, you can use the formula:

q = m * c * ΔT

where:

q is the heat,

m is the mass of the substance (in grams),

c is the specific heat capacity of the substance, and

ΔT is the change in temperature.

For water, the specific heat capacity (c) is approximately 4.18 J/g°c. The mass (m) is given as 100.00 grams. The change in temperature (ΔT) is calculated as the final temperature minus the initial temperature, which is 100°C - 0°C = 100°C.

Substituting the values into the formula, we have:

q = 100.00 g * 4.18 J/g°c * 100°C

q = 418,000 J

Therefore, it would require 418,000 Joules of heat (q) to warm 100.00 grams of liquid water from 0°C to 100°C.

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Related Questions

Given: D thallium = 11.9/cm^3, 3.85g wanted:volume of thallium in cm^3 ?

Answers

Answer:

To find the volume of the thallium, we can use the formula:

density = mass/volume

Rearranging this formula, we get:

volume = mass/density

Plugging in the given values, we get:

Volume = 3.85g / 11.9 cm^-3

Using a calculator, we can solve for the volume:

Volume = 0.3235 cm^3

Therefore, the volume of the thallium is 0.3235 cm^3.

Explanation:

Acid name hydroiodic acid chemical formula

Answers

Answer:

HI is the formula of hydroiodic acid

Explanation:

hope it helps you

Acetic acid has the molecular formula CH3COOH. How many atoms of oxygen are there in 60 grams of acetic acid?

Answers

There are approximately 1.203 × 10^24 atoms of oxygen in 60 grams of acetic acid.

To determine the number of atoms of oxygen in 60 grams of acetic acid (CH3COOH), we need to consider the molar mass and the molecular formula of acetic acid.

The molar mass of acetic acid can be calculated by summing the atomic masses of each element in its molecular formula. The atomic masses of carbon (C), hydrogen (H), and oxygen (O) are approximately 12.01 g/mol, 1.01 g/mol, and 16.00 g/mol, respectively.

Molar mass of CH3COOH = (1 × 12.01 g/mol) + (4 × 1.01 g/mol) + (2 × 16.00 g/mol) + 1.01 g/mol

= 60.05 g/mol

Now, we can calculate the number of moles of acetic acid in 60 grams using the molar mass:

Number of moles = Mass / Molar mass

= 60 g / 60.05 g/mol

≈ 0.999 moles

From the molecular formula of acetic acid, we can see that there are two atoms of oxygen in each molecule.

Therefore, the number of atoms of oxygen in 60 grams of acetic acid can be calculated by multiplying the number of moles by the Avogadro's number, which represents the number of particles (atoms, molecules, or ions) in one mole of a substance. Avogadro's number is approximately 6.022 × 10^23 particles/mol.

Number of atoms of oxygen = Number of moles × Avogadro's number × Number of oxygen atoms in one molecule

= 0.999 moles × 6.022 × 10^23 particles/mol × 2

≈ 1.203 × 10^24 atoms

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combustion always result in to formation of water. what other type of reactions may result into formation of water? examples of these reactions​

Answers

As combustion always result into the formation of water, the other type of reactions that may result into formation of water are Acid-Base Neutralization Reactions and Hydrogen and Oxygen Reaction.

Acid-Base Neutralization Reactions:

A neutralisation reaction is a chemical process in which an acid and a base combine to produce salt and water as the end products.

H⁺ ions and OH⁻ ions combine to generate water during a neutralisation reaction. Acid-base neutralisation is the most common type of neutralisation reaction.

Example: Formation of Sodium Chloride (Common Salt):

HCl + NaOH → NaCl + H₂O

Hydrogen and Oxygen Reaction:

Water vapour is created when hydrogen gas (H₂) and oxygen gas (O₂) are combined directly. This reaction produces a lot of heat and releases a lot of energy.

Example: 2 H₂ + O₂ → 2 H₂O

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6) A gas that has a volume of 33 liters, a temperature of 24 °C, and an unknown pressure has its
volume increased to 41,000 milIILiters and its temperature decreased to 13 °C. When the
pressure was measured after the change it was determined to be 2.7atm, what was the original
pressure?

Answers

The original pressure[P₁] is approximately 0.0848 atm

We can use the combined gas law equation, which relates the initial and final conditions of a gas sample. The combined gas law equation is as follows:

(P₁ × V₁) / (T₁) = (P₂ × V₂) / (T₂)

Given:

V₁ = 33 liters

T₁ = 24 °C = 24 + 273.15 = 297.15 K (converted to Kelvin)

V₂ = 41,000 milliliters = 41 liters (converted to liters)

T₂ = 13 °C = 13 + 273.15 = 286.15 K (converted to Kelvin)

P₂ = 2.7 atm

We need to find P₁, the original pressure.

Plugging in the values into the combined gas law equation:

(P₁ × 33) / (297.15) = (2.7 × 41) / (286.15)

Simplifying the equation:

33P₁ = (2.7 × 41 × 297.15) / (286.15)

33P₁ ≈ 2.804

Dividing both sides by 33:

P₁ ≈ 2.804 / 33

P₁ ≈ 0.0848 atm

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Which quantity of helium may be represented by the symbol He?

Answers

Answer:

4.0026 atomic mass unit

Explanation:

The symbol "He" represents the chemical element helium. Helium is a colorless, odorless, and non-toxic gas that is the second lightest element in the periodic table. It is represented by the atomic number 2 and has an atomic mass of about 4.0026 atomic mass units (u). Helium is known for its low boiling point, making it commonly used as a cryogenic refrigerant and for filling balloons. It is also used in various scientific and industrial applications, such as cooling superconducting magnets, as a shielding gas in welding, and as a component in gas chromatography.

Helium is a chemical element. Its official symbol is He, and its atomic number is 2, which means it has two protons in its nucleus

If I have 1.9 moles of gas he a pressure of 5 ATM and in a container volume of 5.0× 10^ 4mL.Wis the temperature of the gas?

Answers

Temperature of the gas is approximately 570.4 K when there are 1.9 moles of gas at a pressure of 5 ATM and a volume of 5.0 × [tex]10^{4}[/tex] mL.

To determine the temperature of the gas, we can use the ideal gas law equation, which states that the pressure of a gas is directly proportional to its temperature, volume, and the number of moles of gas. The equation is given by:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.

In this case, we are given the pressure (P = 5 ATM), volume (V = 5.0 × 10^4 mL), and number of moles (n = 1.9 moles) of the gas. We can rearrange the ideal gas law equation to solve for temperature:

T = PV / (nR)

Substituting the given values and the value of the ideal gas constant (R = 0.0821 L·atm/(mol·K)), we can calculate the temperature:

T = (5 ATM) × (5.0 × [tex]10^{4}[/tex] mL) / (1.9 moles × 0.0821 L·atm/(mol·K))

After performing the calculations, we find that the temperature of the gas is approximately 570.4 K.

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In a buffer solution the concentration of acid is 10 times the concentration of salt calculate the ph

Answers

Answer:

To calculate the pH of a buffer solution, we need to know the concentrations of both the acid and its conjugate base (salt). In this case, we are given that the concentration of acid is 10 times the concentration of the salt.

Let's assume the concentration of the salt is "x" (in any suitable unit). Therefore, the concentration of the acid would be 10x.

In a buffer solution, the pH is determined by the ratio of the concentrations of the acid and its conjugate base (salt). We can use the Henderson-Hasselbalch equation to calculate the pH:

pH = pKa + log([A-]/[HA])

In this equation, pKa is the negative logarithm of the acid dissociation constant (Ka), and [A-] and [HA] are the concentrations of the conjugate base and acid, respectively.

Since the concentration of the acid is 10x and the concentration of the salt is x, we can rewrite the equation as:

pH = pKa + log(x/(10x))

Simplifying further:

pH = pKa + log(1/10)

The log(1/10) is equal to -1, so the equation becomes:

pH = pKa - 1

Without knowing the specific pKa value for the acid-salt pair in the buffer solution, we cannot determine the exact pH. However, if we have the pKa value, we can subtract 1 from it to find the pH of the buffer solution.

Explanation:

b

What does the latent heat of fusion measure?
• A. The energy required to melt a substance
B. The energy required to boil a substance
• c. The energy required to heat a substance
• D. The energy required to form a substance

Answers

The latent heat of fusion measures " The energy required to melt a substance" option (A).

The latent heat of fusion refers to the amount of energy required to change a substance from a solid state to a liquid state at its melting point while keeping the temperature constant. It is a specific type of latent heat that measures the energy needed for the phase transition of a substance.

When a substance is in a solid state, its particles are tightly packed and have a regular arrangement. As heat is added to the substance, its temperature gradually rises until it reaches the melting point. At this point, further addition of heat does not increase the temperature but instead causes the substance to undergo a phase change and transform into a liquid state. The energy absorbed during this process is known as the latent heat of fusion.

This energy is used to overcome the attractive forces between the particles in the solid and allow them to break free and move more freely in the liquid state. The latent heat of fusion is crucial in various practical applications, such as melting ice, changing solid metals into liquid form for casting, or utilizing phase change materials for thermal energy storage.

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If the pH of a solution is 4.5 and the other pH of another solution is 7.9, what are the solutions for pH, pOH, [H+], and [OH-]?​

Answers

For the solution with a pH of 7.9:

pH = 7.9

pOH = 14 - pH = 14 - 7.9 = 6.1

[H+] = 10^(-pH) = 10^(-7.9) (in mol/L)

[OH-] = 10^(-pOH) = 10^(-6.1) (in mol/L)

The pH of a solution is a measure of its acidity, while pOH is a measure of its alkalinity. The pH and pOH values are related through the equation pH + pOH = 14.

For the solution with a pH of 4.5:

pH = 4.5

pOH = 14 - pH = 14 - 4.5 = 9.5

[H+] = 10^(-pH) = 10^(-4.5) (in mol/L)

[OH-] = 10^(-pOH) = 10^(-9.5) (in mol/L)

For the solution with a pH of 7.9:

pH = 7.9

pOH = 14 - pH = 14 - 7.9 = 6.1

[H+] = 10^(-pH) = 10^(-7.9) (in mol/L)

[OH-] = 10^(-pOH) = 10^(-6.1) (in mol/L)

Note: The [H+] and [OH-] concentrations can also be calculated using the equation [H+][OH-] = 1 x 10^(-14) at 25°C.

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What is the cell potential of the concentration cell described by the following, at 298 K?

Cu(s)|Cu2+(aq,0.10M)||Cu2+(aq,1.00M)|Cu(s)E∘Cu2+/Cu=+0.34 V

Answers

It should be noted that at 298 K, the cell potential (E°cell) of the given concentration cell is 0 V.

How to calculate the value

E°cell = E°cathode - E°anode

Given that E°Cu2+/Cu = +0.34 V, the reduction half-reaction occurring at the cathode is:

Cu2+(aq) + 2e- -> Cu(s)

And the oxidation half-reaction occurring at the anode is:

Cu(s) -> Cu2+(aq) + 2e-

Since the concentrations of Cu2+ on both sides of the cell are different, this is a concentration cell. The concentration gradient will drive the cell to reach equilibrium.

Now, let's calculate the E°cell:

E°cell = E°cathode - E°anode

= (+0.34 V) - (+0.34 V)

= 0 V

Therefore, at 298 K, the cell potential (E°cell) of the given concentration cell is 0 V.

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What is the density at STP of NOz gas (molar
mass = 46.01 g/mol) in grams per liter?

Answers

Answer:

We can use the ideal gas law, PV = nRT, to solve for the density at STP (standard temperature and pressure). At STP, the temperature is 273.15 K and the pressure is 1 atm. We know the molar mass of NO2 is 46.01 g/mol. We also know that 1 mole of any gas at STP occupies a volume of 22.4 L.

First, we can calculate the number of moles of NO2 at STP:

n = PV/RT = (1 atm)(22.4 L)/(0.08206 L·atm/mol·K)(273.15 K) = 1.00 mol

Next, we can calculate the mass of 1 mole of NO2:

46.01 g/mol

Finally, we can calculate the density of NO2 at STP:

density = mass/volume = (46.01 g/mol)/(22.4 L) = 2.054 g/L

Therefore, the density at STP of NO2 gas (molar mass = 46.01 g/mol) in grams per liter is 2.054 g/L.

Explanation:

which number is correctly expressed in scientific notation

Answers

Answer:

x*10ⁿ (units)

Explanation:

Scientific notation never has leading or trailing zeros.

0.0064 would be expressed as 6.4*10³

6400 would be expressed as 6.4*10³

multiplying by 10 to an exponent just adds or subtracts zeros, so count how many zeros have to be added or subtracted, and multiply by 10ⁿ, where n is how far from the decimal point.

Science Question!
Please order by correct order if Answer and please be Real!

Answers

Answer:

matter undergoes

chemical changes such as burning and rusting.

physical changes such as evaporating and melting.

matter has

chemical properties such as reacting with oxygen and changing when heated.

physical properties such as luster and volume.

What is the molar mass for ZnI2?

Answers

The molar mass of ZnI2 is approximately 319.18 grams per mole.

To determine the molar mass of ZnI2 (zinc iodide), we need to know the atomic masses of zinc (Zn) and iodine (I) and their respective subscripts in the chemical formula.

The atomic mass of zinc (Zn) is approximately 65.38 grams per mole (g/mol), as found on the periodic table. The atomic mass of iodine (I) is approximately 126.90 g/mol.

Since the chemical formula of zinc iodide is ZnI2, it means there are two iodine atoms for every one zinc atom. Therefore, we multiply the atomic mass of iodine by 2.

Molar mass of ZnI2 = (atomic mass of Zn) + 2 × (atomic mass of I)

                 = 65.38 g/mol + 2 × 126.90 g/mol

                 = 65.38 g/mol + 253.80 g/mol

                 = 319.18 g/mol

Hence, the molar mass of ZnI2 is approximately 319.18 grams per mole.

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With the aid of a clearly labelled diagram, explain the effect of increasing temperature on an enzyme catalyzed reaction.

Answers

Raising the temperature enhances the reaction rate by increasing the kinetic energy of the enzyme and substrate molecules.

What is an enzyme?

An enzyme, a biological catalyst, plays a crucial role in accelerating the pace of chemical reactions. Enzymes, predominantly composed of proteins, possess remarkable specificity in the reactions they catalyze.

This specificity arises from the structural configuration of the enzyme, which complements the shape of the substrate—the specific molecule subjected to enzymatic catalysis.

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Hydrated copper(II) Sulfate was heated: what would be the ice for?

Answers

The ice is used to regulate and control the temperature during the dehydration of [tex]hydrated copper(II) sulfate[/tex], ensuring a safer and more controlled process.

When [tex]hydrated copper(II) sulfate[/tex] [tex](CuSO_ {4} .H_{4} O)[/tex] is heated, the purpose of the ice is to provide a cooling effect during the process. The hydrated copper(II) sulfate contains water molecules (H2O) that are chemically bonded to the copper sulfate compound. The formula [tex]CuSO_{4} .H_{2} O[/tex] indicates that there are x moles of water molecules per mole of copper(II) sulfate.

As the [tex]hydrated copper(II) sulfate[/tex] is heated, the heat energy causes the water molecules to undergo a physical change and turn into steam. This process is known as dehydration. The water molecules break their chemical bonds with the copper sulfate compound and are released in the form of steam.

The presence of ice during the heating process helps maintain a lower temperature in the reaction vessel. The ice absorbs the heat energy from the surroundings, allowing for a controlled and gradual increase in temperature. This controlled heating prevents sudden temperature changes and potential hazards, such as splattering or overheating.

In summary, the ice is used to regulate and control the temperature during the dehydration of [tex]hydrated copper(II) sulfate[/tex], ensuring a safer and more controlled process.

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We have a bomb calorimeter with a heat capacity of 555 J/K. In this bomb calorimeter, we place 1000.0 mL of water. We burn 2.465 g of a solid in this bomb calorimeter. The temperature of the bomb calorimeter and the water increases by 2.22 oC. The molar mass of the solid is 551.2 g/mol. How much heat (in kJ) will be released if we were to burn 0.162 mol of this same solid in the bomb calorimeter? Keep in mind that we want to find the amout of heat released. The specific heat capacity or water is 4.184 J/K/g. Approximate the density of water as being exactly 1.00 g/mL.

Answers

To find the amount of heat released when burning 0.162 mol of the solid in the bomb calorimeter, we can use the concept of heat capacity and the equation:

q = C * ΔT

where:
q is the heat transferred (in joules),
C is the heat capacity of the bomb calorimeter (in joules per Kelvin),
ΔT is the change in temperature (in Kelvin).

First, let's calculate the heat released when burning 2.465 g of the solid:

First, convert the mass of the solid to moles:
moles = mass / molar mass
moles = 2.465 g / 551.2 g/mol
moles = 0.00447 mol

Now, let's calculate the heat released for this amount of solid burned:
q1 = C * ΔT
q1 = 555 J/K * 2.22 K
q1 = 1232.1 J

Now, let's find the heat released per mole of the solid:
q per mole = q1 / 0.00447 mol
q per mole = 1232.1 J / 0.00447 mol
q per mole = 275,695 J/mol

Finally, let's find the heat released when burning 0.162 mol of the solid:
q2 = q per mole * 0.162 mol
q2 = 275,695 J/mol * 0.162 mol
q2 = 44,697 J

Converting the heat released to kilojoules:
q2_kJ = q2 / 1000
q2_kJ = 44,697 J / 1000
q2_kJ = 44.697 kJ

Therefore, if we were to burn 0.162 mol of the solid in the bomb calorimeter, approximately 44.697 kJ of heat would be released.

Suppose a solution has a density of 1.87 g/mL. If a sample has a mass of 17.5 g the volume of the sample in mL is what?

Answers

The volume of the sample in mL is 9.36 mL.

We can use the formula:

Density = Mass/Volume

Rearranging the formula gives:

Volume = Mass/Density

Substituting the given values gives:

Volume = 17.5 g / 1.87 g/mL = 9.36 mL.

what three forces are in tug of war?

Answers

Well I asume there would be an action force since both teams are pulling and a friction force and a feeling force


I’m not sure tho since your question doesn’t explain that well

pls pls help me plssss​

Answers

Its about acids and bases?


5 organic functional groups similar to morphine and cannabinol

Answers

Here are five organic functional groups similar to morphine and cannabinol:

1. Phenol group: This is a functional group consisting of a hydroxyl (-OH) group bonded directly to an aromatic ring. It is present in compounds like salicylic acid, which has analgesic properties similar to morphine.

2. Ether group: An ether functional group has an oxygen atom bonded to two organic groups. Compounds such as codeine, a derivative of morphine, contain this group and exhibit similar pain-relieving effects.

3. Amine group: This functional group consists of a nitrogen atom bonded to one or more organic groups. Compounds like tramadol, which is a synthetic opioid, contain amine groups and act as analgesics.

4. Ester group: An ester functional group is formed by the condensation of an alcohol and an acid, resulting in an oxygen atom bonded to a carbon atom and an additional organic group. Some opioids, like heroin, contain ester groups and produce similar effects to morphine.

5. Piperidine group: This is a cyclic amine group with a six-membered ring containing one nitrogen atom. Compounds like fentanyl, a potent synthetic opioid, possess this functional group and exhibit strong analgesic properties.

Please note that while these functional groups are found in compounds with similar effects to morphine and cannabinol, it is important to use such substances only under proper medical supervision and adhere to legal regulations.

Batteries have potential energy in their __________ energy stores. What one word completes the sentence?

Answers

Batteries have potential energy in their chemical energy stores.

The one word that completes the sentence is "chemical." Batteries store potential energy in the form of chemical energy. This means that the energy is stored within the chemical components of the battery.
Here's a step-by-step explanation:
1. Batteries are devices that convert chemical energy into electrical energy.
2. Chemical energy is the energy stored within the chemical bonds of a substance.
3. In the case of batteries, this chemical energy is stored in the chemical components of the battery, such as the electrolyte and the electrodes.
4. When a battery is connected to a circuit, a chemical reaction takes place within the battery, causing the stored chemical energy to be converted into electrical energy.
5. This electrical energy can then be used to power electronic devices or perform other tasks.
To summarize, batteries store potential energy in their chemical energy stores. This potential energy is converted into electrical energy when the battery is used.

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What is the frequency of a photon if the energy is 5.27 × 10⁻¹⁹ J? (h = 6.626 × 10⁻³⁴ J • s)

Answers

Answer:

To calculate the frequency of a photon with energy of 5.27 × 10⁻¹⁹ J, we can use the equation E = hf, where E is the energy of the photon, h is Planck's constant (6.626 × 10⁻³⁴ J • s), and f is the frequency of the photon. Solving for f, we get:

f = E/h = (5.27 × 10⁻¹⁹ J)/(6.626 × 10⁻³⁴ J • s) = 7.95 × 10¹⁴ Hz

Therefore, the frequency of the photon is 7.95 × 10¹⁴ Hz.

Explanation:

A mass of 100 g of NaNO3 is dissolved in 100 g of water. At what temperature should solid crystals form?

Answers

A mass of 100 g of NaNO3 is dissolved in 100 g of water, at "31.2°C" temperature the solid crystals are form.

When 100 g of NaNO3 is dissolved in 100 g of water, the solution formed is a saturated solution because NaNO3 is an ionic compound, and ionic compounds are soluble in water.

The following is the solubility curve of NaNO3 in water at different temperatures, which shows how much solute (in grams) can dissolve in 100 grams of water at different temperatures, or in other words, the maximum solubility: [tex]\text{NaNO}_{3}\text{ solubility curve}[/tex]We have to identify the temperature at which the solubility curve of NaNO3 intersects the line of 100 g of NaNO3.

The intersection point is at 31.2°C. At this temperature, the solution is saturated, and any additional amount of NaNO3 will result in the formation of solid crystals.

As a result, the temperature at which solid crystals will form is 31.2°C.

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what is the PGE of a 257 kg boulder at the top of a 19 m cliff

Answers

The potential energy (PGE) of an object can be calculated using the formula: PGE = mgh, where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s² on Earth), and h is the height or vertical distance.

Given:
Mass of the boulder (m) = 257 kg
Height of the cliff (h) = 19 m
Acceleration due to gravity (g) = 9.8 m/s²

Now we can calculate the potential energy:

PGE = (257 kg) × (9.8 m/s²) × (19 m)
PGE = 485,366 J

Therefore, the potential energy of the 257 kg boulder at the top of the 19 m cliff is approximately 485,366 joules (J).

With the aid of a clearly labelled diagram, explain the effect of substrate concentration on the rate of reaction catalysed by an allosteric enzyme

Answers

Allosteric enzymes change shape upon binding an effector molecule, displaying a sigmoidal substrate concentration vs. reaction rate curve. The reaction rate increases until saturation, characterized by the enzyme's Km.

Allosteric enzymes are enzymes that change their shape upon binding of another molecule, known as an effector, to a specific site, the allosteric site. These enzymes are essential for regulating metabolic pathways in cells.A graph of substrate concentration vs. reaction rate for an allosteric enzyme often displays a sigmoidal curve. The enzyme initially binds the substrate molecule with a relatively low affinity, which corresponds to a low reaction rate. However, as the substrate concentration increases, more enzyme-substrate complexes are formed, causing a conformational change in the enzyme that increases its affinity for substrate molecules at other sites. As a result, the reaction rate increases sharply, but only up to a certain point, after which it levels off. The substrate concentration at which the reaction rate is half of its maximum value is known as the enzyme's Michaelis-Menten constant (Km). A substrate concentration that exceeds the Km does not affect the reaction rate. The enzyme is saturated with substrate molecules, so it cannot bind anymore.

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4. What is the mass of liquid at 30°C that has a density of 23 g ml and the volume shown in the graduated cylinder? (Show your work to receive credit.)​

Answers

Answer:

To find the mass of the liquid at 30°C, we first need to determine the volume of the liquid shown in the graduated cylinder. We can do this by using the markings on the cylinder to measure the volume.

Once we have the volume, we can use the density of the liquid to calculate the mass. The formula for calculating the mass of an object with known density and volume is:

mass = density x volume

Using the given information, we have:

density = 23 g/mL volume = the volume shown in the graduated cylinder

Explanation:

985.2 moles of nitrogen, how many moles of ammonia can produce?

Answers

Answer:

985.2 moles of nitrogen can produce 1970.4 moles of ammonia.

Explanation:

The balanced chemical equation for the production of ammonia from nitrogen is:

N2 + 3H2 → 2NH3

From the balanced equation, we can see that 1 mole of nitrogen reacts with 3 moles of hydrogen to produce 2 moles of ammonia.

So, to determine how many moles of ammonia can be produced from 985.2 moles of nitrogen, we need to use the mole ratio from the balanced chemical equation as follows:

985.2 moles N2 x (2 moles NH3 / 1 mole N2) = 1970.4 moles NH3

Therefore, 985.2 moles of nitrogen can produce 1970.4 moles of ammonia.

2. Experimental data for a simple reaction showing the rate of
change of reactant with time are given to Table 5.13.
Table 5.13 Experimental
data for a simple reaction.
Time
(min)
Concentration
(kg·m−3)
0 16.0
10 13.2
20 11.1
35 8.8
50 7.1
Show that the data gives a kinetic equation of order 1.5 and determine the rate constant.

Answers

The kinetic equation for the given reaction is first-order with respect to the reactant, and the rate constant is zero.

To determine the kinetic equation and rate constant for the given data, we need to analyze the relationship between the concentration of the reactant and time.

The general form of a first-order reaction is given by the equation:

Rate = k[A]^n

Where:

Rate is the rate of the reaction

k is the rate constant

[A] is the concentration of the reactant

n is the order of the reaction with respect to the reactant

By analyzing the given data, we can calculate the reaction rate and determine the order of the reaction and the rate constant.

Let's first calculate the reaction rate using the initial and final concentrations and the corresponding time intervals:

Rate = (Change in concentration) / (Change in time)

For the first time interval (0 to 10 min):

Rate = (13.2 kg·m^(-3) - 16.0 kg·m^(-3)) / (10 min - 0 min) = -2.8 kg·m^(-3)·min^(-1)

Similarly, we can calculate the rates for the other time intervals:

10 to 20 min: Rate = (11.1 kg·m^(-3) - 13.2 kg·m^(-3)) / (20 min - 10 min) = -2.1 kg·m^(-3)·min^(-1)

20 to 35 min: Rate = (8.8 kg·m^(-3) - 11.1 kg·m^(-3)) / (35 min - 20 min) = -2.3 kg·m^(-3)·min^(-1)

35 to 50 min: Rate = (7.1 kg·m^(-3) - 8.8 kg·m^(-3)) / (50 min - 35 min) = -1.7 kg·m^(-3)·min^(-1)

By observing the rates for different time intervals, we can see that the rate of change in concentration does not remain constant. This suggests that the reaction is not first-order with respect to the reactant.

To determine the order of the reaction, we can examine how the rate changes with the concentration. Let's calculate the rate ratios for the different time intervals:

Rate ratio (10/0) = (-2.8 kg·m^(-3)·min^(-1)) / (-2.8 kg·m^(-3)·min^(-1)) = 1

Rate ratio (20/10) = (-2.1 kg·m^(-3)·min^(-1)) / (-2.8 kg·m^(-3)·min^(-1)) ≈ 0.75

Rate ratio (35/20) = (-2.3 kg·m^(-3)·min^(-1)) / (-2.1 kg·m^(-3)·min^(-1)) ≈ 1.10

Rate ratio (50/35) = (-1.7 kg·m^(-3)·min^(-1)) / (-2.3 kg·m^(-3)·min^(-1)) ≈ 0.74

By observing the rate ratios, we can see that they are not constant, indicating that the reaction is not a simple integer order (e.g., first-order or second-order). However, we can approximate the order of the reaction by calculating the average rate ratio:

Average rate ratio = (1 + 0.75 + 1.10 + 0.74) / 4 ≈ 0.897

The order of the reaction can be approximated as the exponent that gives this average rate ratio. In this case, the order is approximately 0.897, which we can round to 1. Therefore, the kinetic equation for the reaction is:

Rate = k[A]^1.5

Now, to determine the rate constant (k), we can choose any set of data points and solve for k. Let's use the first data point at time = 0 min:

16.0 kg·m^(-3) = k * (0 min)^1.5

Since (0 min)^1.5 is zero, the right side of the equation is zero. Therefore, k must be zero as well.

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