Applications Of Equilibrium Constants

Step 1: Understanding the Concept:
The relation between standard Gibbs free energy and equilibrium constant: .

Step 2: Detailed Explanation:
Given and .
.

Step 3: Final Answer:
.

Concept:
• Equilibrium constant:

Step 1: Substitute values


Step 2: Solve
Final Conclusion:
Option (A)

Step 1: Understanding the Question:
The question asks to calculate the standard Gibbs free energy change ( ) for the given chemical reaction at 300 K.
We are provided with the equilibrium concentrations of reactants and products, the temperature, and the gas constant .

Step 2: Key Formula or Approach:
The standard Gibbs free energy change is related to the equilibrium constant ( ) by the formula:
Where:
is the gas constant ( )
is the absolute temperature ( )
is the equilibrium constant based on molar concentrations.

Step 3: Detailed Explanation:
First, we find the equilibrium constant for the reaction:
Substituting the given equilibrium concentrations:
Now, calculate :
Using the relation :
Since :


Step 4: Final Answer:
The standard Gibbs free energy change for the reaction is cal.