At high temperatures, a dynamic equilibrium exists between carbon monoxide, carbon dioxide, and solid carbon.
At 850°C, Kc is 0.153.
- a What is the value of Kp?
- b If the original reaction system consisted of just carbon and 1.50 atm of CO2, what are the pressures of CO2 and CO when equilibrium has been established?
- c How will the equilibrium pressure of CO change if the temperature is decreased?
(a)
Interpretation:
The equilibrium constant has to be found and the equilibrium partial pressures of the reactant and product also has to be found. The effect of decrease in temperature in the equilibrium constant has to be found.
Concept introduction:
Equilibrium constant
Consider the reaction where the reactant A is giving product B.
On rearranging,
Where,
Equilibrium constant
Where,
R is the universal gas constant
T is the temperature
Le Chatelier's principle: When a system at equilibrium is disturbed, the system will adjust itself to nullify the effect and maintain the equilibrium.
Answer to Problem 14.101QP
The equilibrium constant
Explanation of Solution
Given,
The equilibrium constant
To find the difference between the number of gaseous products and reactants
To find
The value of
(b)
Interpretation:
The equilibrium constant has to be found and the equilibrium partial pressures of the reactant and product also has to be found. The effect of decrease in temperature in the equilibrium constant has to be found.
Concept introduction:
Equilibrium constant
Consider the reaction where the reactant A is giving product B.
On rearranging,
Where,
Equilibrium constant
Where,
R is the universal gas constant
T is the temperature
Le Chatelier's principle: When a system at equilibrium is disturbed, the system will adjust itself to nullify the effect and maintain the equilibrium.
Answer to Problem 14.101QP
The partial pressure of
The partial pressure of
Explanation of Solution
Given,
The partial pressure of
The equilibrium constant
To find pressure of reactant and product at equilibrium.
Using the table approach, the equilibrium concentrations of the reactants and the products can be found.
The equilibrium pressure values are then substituted into the equilibrium expression to get the change in pressure x.
On rearranging we get a quadratic equation.
On solving the quadratic equation the value of x obtained.
On solving we get two values for x, the positive value for x is taken.
Hence,
(c)
Interpretation:
The equilibrium constant has to be found and the equilibrium partial pressures of the reactant and product also has to be found. The effect of decrease in temperature in the equilibrium constant has to be found.
Concept introduction:
Equilibrium constant
Consider the reaction where the reactant A is giving product B.
On rearranging,
Where,
Equilibrium constant
Where,
R is the universal gas constant
T is the temperature
Le Chatelier’s principle: When a system at equilibrium is disturbed, the system will adjust itself to nullify the effect and maintain the equilibrium.
Answer to Problem 14.101QP
For and endothermic reaction the rate of forward reaction decreases with the decrease in temperature. Hence, the reaction will shift towards the left and the partial pressure of carbon monoxide will be decreased
Explanation of Solution
According to Le Chatelier's principle a system at equilibrium is disturbed, it will try to get the equilibrium state back by nullifying the disturbance. The given reaction is an endothermic reaction. For and endothermic reaction the rate of forward reaction decreases with the decrease in temperature. Hence, the reaction will shift towards the left and the partial pressure of carbon monoxide will be decreased.
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Chapter 14 Solutions
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