Nitrogen dioxide,
(a) Using data in Appendix 2, calculate
(b) Calculate
(a)
Interpretation:
The values of
Concept introduction:
Standard Gibbs free energy of a reaction is calculated by subtracting the standard Gibbs free energy of formation of reactants from standard Gibbs free energy of formation of products. The formula for standard Gibbs free energy of reaction is given as,
Where,
•
•
The relation between equilibrium constant and standard Gibbs free energy of reaction is given as,
Where,
•
•
•
Answer to Problem 5.27E
The values of
Explanation of Solution
From Appendix
The standard Gibbs free energy of formation of
The standard Gibbs free energy of formation of
Temperature at the equilibrium is
The given reaction is represented as,
The standard Gibbs free energy of given reaction is given as,
Where,
•
•
Substitute the value of
Therefore, the value
The relation between equilibrium constant and standard Gibbs free energy of reaction is given as,
Where,
•
•
•
Rearrange the above equation form the value of
Substitute the value of
Therefore, the value
The values of
(b)
Interpretation:
The value of
Concept introduction:
The equilibrium constant of a reaction is expressed as the ratio of partial pressure of products and reactants each raised to the power of their stoichiometric coefficients. A typical equilibrium reaction is represented as,
The algebraic form of equilibrium constant for the above chemical reaction is expressed as,
Where,
•
•
•
•
•
•
•
•
Answer to Problem 5.27E
The value of
Explanation of Solution
The initial number of moles of
The volume of the reaction system is
The temperature of the reaction system is
The value
The ideal gas equation is given as,
Where,
•
•
•
•
•
Rearrange the above equation for the value of
Substitute the value of
The table for initial and equilibrium amounts of the substances involved in the reaction is represented as,
The expression forequilibrium constant for the given equilibrium reaction is represented as,
Substitute the value of
Rearrange the equation to form a quadratic equation.
Solve the quadratic equation form the value of
Rearrange equation (1) form the value of
Substitute the value of
The number of mole of
The initial number of mole of
The expression for extent of reaction for
Where,
•
•
•
Substitute the value of
Therefore, the extent of the reaction is
The extent of the reaction is
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