CH 101 Chapter 10 Equilibria Worksheet Key, Assignments of Chemistry

CH 101 Chapter 10 Equilibria worksheet

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2022/2023

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Equilibrium Constant
1. Consider the following reaction
2 SO2 (g) + O2 (g) 2 SO3 (g)
Write the equilibrium expression, Kc.
2. Consider the following reaction
CaCO3 (s) CaO (s) + O2 (g)
Write the equilibrium expression, Kc.
3. Consider the following reaction
2 SO2 (g) + O2 (g) 2 SO3 (g)
Write the equilibrium expression, Kp.
4. Consider the following reaction
H2O (g) + C (s) H2 (g) + CO (g)
Write the equilibrium expression, Kp.
5. Consider the decomposition of nitrous oxide, laughing gas,
2N2O (g) 2 N2 (g) + O2 (g)
At 25oC, Kc is 7.3 x 1034.
(a) Based on the information given, what can you say about the rate of
decomposition of the reaction?
(b) Based on the information given, does nitrous oxide have a tendency to
decompose into nitrogen and oxygen?
(c) What is the value of Kp for the reaction at 25oC?
6. Consider the following reaction
CO2 (g) + H2 (g) CO (g) + H2O (g)
Calculate the value of the equilibrium constant, Kc , for the above system, if
0.1908 moles of CO2, 0.0908 moles of H2, 0.0092 moles of CO, and 0.0092 moles
of H2O vapour were present in a 2.00 L reaction vessel at equilibrium.
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Equilibrium Constant

  1. Consider the following reaction

2 SO 2 (g) + O 2 (g) 2 SO 3 (g)

Write the equilibrium expression, Kc.

  1. Consider the following reaction

CaCO 3 (s) CaO (s) + O 2 (g)

Write the equilibrium expression, Kc.

  1. Consider the following reaction

2 SO 2 (g) + O 2 (g) 2 SO 3 (g)

Write the equilibrium expression, Kp.

  1. Consider the following reaction

H 2 O (g) + C (s) H 2 (g) + CO (g)

Write the equilibrium expression, Kp.

  1. Consider the decomposition of nitrous oxide, laughing gas,

2N 2 O (g) 2 N 2 (g) + O 2 (g)

At 25o^ C, Kc is 7.3 x 10 34.

(a) Based on the information given, what can you say about the rate of decomposition of the reaction? (b) Based on the information given, does nitrous oxide have a tendency to decompose into nitrogen and oxygen? (c) What is the value of Kp for the reaction at 25 o^ C?

  1. Consider the following reaction

CO 2 (g) + H 2 (g) CO (g) + H 2 O (g)

Calculate the value of the equilibrium constant, Kc , for the above system, if 0.1908 moles of CO 2 , 0.0908 moles of H 2 , 0.0092 moles of CO, and 0.0092 moles of H 2 O vapour were present in a 2.00 L reaction vessel at equilibrium.

  1. Consider the following reaction

C 2 H 4 (g) + H 2 (g) C 2 H 6 (g) K (^) c = 0.

What is the concentration for each substance at equilibrium if the initial concentration of ethene, C 2 H 4 (g) , is 0.335 M and that of hydrogen is 0.526 M?

  1. Consider the following reaction

2 NO (g) + 2 H 2 (g) N 2 (g) + 2 H 2 O (g)

Determine the value of the equilibrium constant, Kc, for the reaction. Initially, a mixture of 0.100 M NO, 0.050 M H 2 , 0.100 M H 2 O was allowed to reach equilibrium (initially there was no N 2 ). At equilibrium the concentration of NO was found to be 0.062 M.

  1. Consider the following reaction

N 2 O 4 (g) 2 NO 2 (g)

A reaction flask is charged with 3.00 atm of dinitrogen tetroxide gas and 2.00 atm of nitrogen dioxide gas. At 25 o^ C, the gases are allowed to reach equilibrium. The pressure of the nitrogen dioxide was found to have decreased by 0.952 atm. Estimate the value of Kp for this system.

  1. Consider the following reaction. The initial concentrations are [HSO 4 โ€“^ ] = 0.50 M, [H 3 O+] = 0.020 M, [SO 4 2โ€“^ ] = 0.060 M.

HSO 4 โ€“^ (aq) + H 2 O (l) H 3 O+^ (aq) + SO 4 2โ€“^ (aq) K = 0.

(a) Which way would the reaction shift to reach equilibrium? (b) What are the equilibrium concentrations of the products and reactants.

NO H 2 N 2 H 2 O

[I] 0.100 0.0500 0 0.

[C] -2x -2x +x +2x [E] 0. From ICE table 2x = 0.

Therefore, substitute for x and calculate [E] for each species:

NO H 2 N 2 H 2 O [I] 0.100 0.0500 0 0. [C] - 0.038 - 0.038 +0.019 +0. [E] 0.062 0.012 0.019 0.

K = 22

2

( 0. 062 )( 0. 012 )

= 6.5 x 10^2

N 2 O 4 NO 2

[I] 3.00 2.

[C] +x -2x = - 0. [E] From ICE table x = 0.952/

Therefore, substitute for x and calculate [E] for each species:

N 2 O 4 NO 2 [I] 3.00 2. [C] +0.476 -0. [E] 3.476 1.

K =

( 1. 048 )^2

  1. (a) Use the trial Keq , Q, to determine the reaction direction.

Q =

Q < Keq , therefore, equilibrium will shift to the right to produce more products.

(b)

K =

(0.050-x)

(0.020 +x)(0.060+x)

To solve, need to use the quadratic equation

x = 0.0372 or โ€“0.129 *

For x = 0.0372, [HSO 4 โ€“^ ] = 0.46 M; [H 3 O+] = 0.057 M; [SO 4 2โ€“^ ] = 0.097 M

  • For x = -0.129, [HSO 4 โ€“^ ] = 0.63 M; [H 3 O+] = -0.109 M; [SO 4 2โ€“^ ] = -0.069 M it yields negative concentrations.

Therefore, the correct equilibrium concentrations are: [HSO 4 โ€“^ ] = 0.46 M; [H 3 O+] = 0.057 M; [SO 4 2โ€“^ ] = 0.097 M

HSO 4 โ€“^ H 3 O+^ SO 4 2โ€“

[I] 0.50 0.020 0.

[C] -x +x +x [E] 0.50 -x 0.020+x 0.060+x