The equation represents the decomposition of a generic diatomic element in its standard state. 12X2(g)⟶X(g) Assume that the standard molar Gibbs energy of formation of X(g) is 4.25 kJ·mol−1 at 2000. K and −63.12 kJ·mol−1 at 3000. K. Determine the value of K (the thermodynamic equilibrium constant) at each temperature.

Answers

Answer 1

Answer:

Answer:

$K^(2000K)=0.774\n\nK^(3000K)=12.56$

Explanation:

Hello,

In this case, considering the reaction, we can compute the Gibbs free energy of reaction at each temperature, taking into account that the Gibbs free energy for the diatomic element is 0 kJ/mol:

$\Delta _rG=\Delta _fG_(X)-(1)/(2) \Delta _fG_(X_2)=\Delta _fG_(X)$

Thus, at 2000 K:

$\Delta _rG=\Delta _fG_(X)^(2000K)=4.25kJ/mol$

And at 3000 K:

$\Delta _rG=\Delta _fG_(X)^(3000K)=-63.12kJ/mol$

Next, since the relationship between the equilibrium constant and the Gibbs free energy of reaction is:

$K=exp(-(\Delta _rG)/(RT) )$

Thus, at each temperature we obtain:

$K^(2000K)=exp(-(4250J/mol)/(8.314(J)/(mol* K)*2000K) )=0.774\n\nK^(3000K)=exp(-(-63120J/mol)/(8.314(J)/(mol* K)*3000K) )=12.56$

In such a way, we can also conclude that at 2000 K reaction is unfavorable (K<1) and at 3000 K reaction is favorable (K>1).

Best regards.

Related Questions

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Calculate the molar mass of each compound given below. c4h4
The pH of a solution prepared by mixing 50.0 mL of 0.125 M KOH and 50.0 mL of 0.125 M HCl is ________.
Isn't this false? For the industrial production of indigo carmine, a blue food colouring additive, a synthetic process with an E-factor of 17.4 produces less waste than a synthetic process with an E-factor of 3.0. The answer I got was False, is this correct?

Which of the following is true for the quantum mechanical atomic model? A. Atoms absorb or emit electrons from the nucleus when they interact with electromagnetic radiation.

B. Every atom absorbs all wavelengths of light energy or electromagnetic radiation.

C. Electrons give off electromagnetic radiation when they jump from a high to a low energy level.

D. Electrons are perfectly evenly distributed throughout the atom.

Answers

Answer: C. Electrons give off electromagnetic radiation when they jump from a high to a low energy level.

Explanation:

Electrons give off electromagnetic radiation when they jump from a high to a low energy level in the quantum mechanical atomic model. This is known as the emission spectrum of an atom, and each element has its unique emission spectrum. This phenomenon was explained by the Bohr model of the atom and is a fundamental concept of the quantum mechanical atomic model.

Option A is incorrect because atoms cannot absorb or emit electrons from the nucleus when they interact with electromagnetic radiation. Option B is also incorrect because atoms only absorb certain wavelengths of light energy or electromagnetic radiation, which corresponds to the energy difference between electron energy levels. Option D is incorrect because electrons are not evenly distributed throughout the atom in the quantum mechanical atomic model; instead, they occupy specific energy levels or orbitals.

Consider the dissolution of AB(s):AB(s)⇌A+(aq)+B−(aq)Le Châtelier's principle tells us that an increase in either [A+] or [B−] will shift this equilibrium to the left, reducing the solubility of AB. In other words, AB is more soluble in pure water than in a solution that already contains A+ or B− ions. This is an example of the common-ion effect.The generic metal hydroxide M(OH)2 has Ksp = 1.05×10−18. (NOTE: In this particular problem, because of the magnitude of the Ksp and the stoichiometry of the compound, the contribution of OH− from water can be ignored. However, this may not always be the case.)What is the solubility of M(OH)2 in pure water?

Answers

Answer:

S = 6.40 × 10⁻⁷ M

Explanation:

In order to calculate the solubility (S) of M(OH)₂ in pure water we will use an ICE Chart. We recognize 3 stages: Initial, Change and Equilibrium, and we complete each row with the concentration or change in concentration.

M(OH)₂(s) ⇄ M²⁺(aq) + 2 OH⁻(aq)

I 0 0

C +S +2S

E S 2S

The solubility product (Kps) is:

Kps = 1.05 × 10⁻¹⁸ = [M²⁺].[OH⁻]²=S.(2S)²

1.05 × 10⁻¹⁸ = 4S³

S = 6.40 × 10⁻⁷ M

A weak acid is titrated with 0.1236 M NaOH. From the titration curve you determine that the equivalence point occurs at 12.42 mL of added NaOH. What volume of added NaOH corresponds to the half-equivalence point?

Answers

Answer:

(Incomplete question)

Assuming the molarity of the weak acid is 17.4 M, the answer would be 52.4mL.

Explanation:

Equivalence point is defined as the point where moles of titrant = moles of titrand (analyte).

At equivalence point,

# moles of NaOH = # moles of weak acid

# moles of NaOH = 0.1236 $(mol)/(L)$ × 12.43 mL

= 0.1236 mol/L × 0.01242 L

= 0.00153511 moles of NaOH

= 0.00153511 moles of weak acid.

Since the concentration of acid is not stated in your question, we will assume the concentration of the acid to be 17.4 M.

concentration = no. of moles ÷ volume

⇒ vol. = no. of moles ÷ conc.

= 0.00153511 mol ÷ 17.4 mol/L

= 0.0267 L ≈ 26.7 mL

This means that the total volume of the solution at the half equivalence point will be:

26.7 mL + 26.7 ml

= 52.4 mL.

N.B: Confirm missing variable from question: it could be concentration or volume of acid,but it is impossible to have two unknowns. Also, incase its pH of acid that's given, you can solve problem using Henderson-Hasslebauch equation.

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Answers

Answer:

Mhmmm I Agree

Explanation:

Its Because I Strongly Agree

of all the hydrogen nuclei in the ocean, 0.0156 how much deuterium could be obtained from 1.0 gal of ordinary tap water

Answers

Answer:

Poop Butt.

Explanation: Poop Butt.

What may happen to the human body when exposed to an infectious agent? A. When infectious agents get into the human body, your body responds by functioning normally.

B. When infectious agents get into the human body, the body gets a surge of energy, causing a slight increase in body temperature, and you feel great.

C. When infectious agents get into the human body, your body responds by raising the core body temperature, causing a fever.

D.Nothing happens when the human body is exposed to an infectious agent.

Answers

Answer:

when infectious agents get into the human body your body responds by raising the core body temperature causing a fever

The answer is C it will raise your body temp and cause a fever

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