Reaction kinetics and rate laws and equilibrium

Question

Assignment:

Question 1. The isomerization of cyclopropane to form propene

→CH₃ - CH =CH₂CH₂

is a first-order reaction. At 760 K, 15 percent of a sample of cyclopropane changes to propene in 6.8 minutes. What is the half-life of cyclopropane at 760 K?

Question 2. Consider the two gaseous equilibria (K₁ and K₂):

SO₂(g) + ½O₂(g) ↔SO₃(g)       K₁

2SO₃(g) ↔2SO₂(g) + O₂(g)       K₂

The values of the equilibrium constants K₁ and K₂ are related by ________.

Question  3. The following reactions occur at 500 K. Arrange them in order of increasing tendency to proceed to completion (i.e., least completion →greatest completion).

1. 2NOCl ↔2NO + Cl₂        K_P = 1.7 x 10^-2
2. N₂O₄ ↔2NO₂                 K_P = 1.5 x 10³
3. 2SO₃ ↔2SO₂ + O₂         K_P = 1.3 x 10^-5
4. 2NO₂ ↔2NO + O₂          K_P = 5.9 x 10^-5

Question 4. On analysis, an equilibrium mixture for the reaction

2H₂S(g) ↔2H₂(g) + S₂(g)

was found to contain 1.0 mol H₂S, 4.0 mol H₂, and 0.80 mol S₂ in a 4.0 L vessel. Calculate the equilibrium constant for this reaction.

Question 5. At 35^oC, the equilibrium constant for the following reaction is K_c = 1.6 x 10^-5.

2NOCl(g) ↔2NO(g) + Cl₂(g)

An equilibrium mixture was found to have the following concentrations of Cl₂ and NOCl:

[Cl₂] = 1.2 x 10^-2 M; [NOCl] = 2.8 x 10^-1 M. Calculate the concentration of NO(g) at equilibrium.

Question 6. For the following reactions the equilibrium constants are defined.

A + 2B ↔C       K₁
C ↔D + E         K₂

Then for the reaction

A + 2B ↔D + E       K_c

the equilibrium constant must be equal to ________.

Question 7. At 700 K, the reaction

2SO₂(g) + O₂(g) ↔2SO₃(g)

has an equilibrium constant K_c = 4.3 x 10⁶, and the following concentrations are present:

[SO₂] = 0.10 M
[SO₃] = 10 M
[O₂] = 0.10 M

Is the mixture at equilibrium? If not at equilibrium, in which direction-left to right or right to left- will the reaction occur to reach equilibrium?

Question 8. For the following reaction at equilibrium, which choice gives a change that will shift the position of equilibrium to favor formation of more products?

2NOBr(g) ↔2NO(g) + Br₂(g)       ΔH^o_rxn = 30 kJ

Provide complete and step by step solution for the question and show calculations and use formulas.