Interpretation:
Enthalpy, entropy, total energy and Gibbs energy for the given reaction has to be calculated.
Explanation of Solution
Given information:
Frequency factor (
Rate constant for the given reaction:
Arrhenius equation for rate constant can be given as,
Rate constant can be calculated by substituting the values in equation (1) as shown below,
Therefore, rate constant is calculated as
Enthalpy of Reaction:
The equation for enthalpy of reaction can be given as,
Temperature is given as
Substituting the values in equation (2), enthalpy of reaction can be obtained as shown below,
Therefore, enthalpy of reaction is calculated as
Gibbs free energy of reaction:
Gibbs free energy of reaction can be given by the equation shown below,
Where,
Where,
Substituting the values in equation (3), Gibbs free energy can be calculated as shown below,
Taking natural log on both sides,
Therefore, Gibbs free energy of reaction is
Entropy of reaction:
The relationship between Gibbs free energy of reaction, enthalpy of reaction and entropy of reaction can be given by the equation as shown below,
Where,
Rearranging the equation, the entropy of activation can be obtained as,
Substituting the obtained values in equation (4), the entropy of activation can be calculated.
Therefore, entropy of reaction is calculated as
Internal energy of reaction:
Internal energy of the reaction can be given by the equation as shown below,
Where,
The change in volume is zero as this is a constant volume process. Hence, the equation (5) becomes as shown below,
Therefore, internal energy of reaction is calculated as
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Chapter 18 Solutions
Atkins' Physical Chemistry
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