Obtain the value of Kc for the following reaction at 900 K:
Use the data given in Problem 14.33.
Interpretation:
The equilibrium constant for the given reaction has to be calculated.
Concept introduction:
A system is said to be in equilibrium when all the measurable properties of the system remains unchanged with the time. Equilibrium constant is the ratio of the rate constants of the forward and reverse reactions at a given temperature. In other words it is the ratio of the concentrations of the products to concentrations of the reactants. Each concentration term is raised to a power, which is same as the coefficients in the chemical reaction.
Consider the reaction where the reactant A is giving product B.
On rearranging,
Where,
Answer to Problem 14.45QP
The equilibrium constant
Explanation of Solution
Given,
The initial amount of
The initial amount of
The number of moles of
The volume of the vessel
To find the equilibrium composition
Using the table approach, the equilibrium concentrations of the reactants and the products can be found.
The amount
From the equilibrium reaction we can see that the coefficient of
The equilibrium compositions of each of the reactant and product are found as given below.
Equilibrium amount of
Equilibrium amount of
Equilibrium amount of
To find the concentrations of the reactants and products
The molar concentration of each can be obtained as given below.
To find the expression for the equilibrium constant
Equilibrium constant is the ratio of the concentrations of the products to concentrations of the reactants. Each concentration term is raised to a power, which is same as the coefficients of each terms in the chemical reaction. The equilibrium constant for the given reaction is expressed as given below.
The equilibrium constant
To find the value for the equilibrium constant
The value of the equilibrium constant can be obtained by substituting the equilibrium concentrations of the reactant and product in the expression for the equilibrium constant.
The equilibrium composition of the given reaction mixture was found from the initial amount of reactants and products. The value of the equilibrium constant was then obtained by substituting the equilibrium concentrations of the products and the reactants in the expression for the equilibrium constant.
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Chapter 14 Solutions
General Chemistry - Standalone book (MindTap Course List)
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