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Chemistry-Gibbs Free Energy

NEET Chemistry Gibbs Free Energy MCQ Question

Type: MCQ-numerical-Hard-Class 11

For a reaction at 298 K, the change in enthalpy (∆H sys) is -150 kJ/mol and the change in entropy (∆S sys) is 200 J/mol·K. Calculate the Gibbs free energy change (∆G) for the reaction. Which of the following values is correct?

A

-90 kJ/mol

B

-210 kJ/mol

C

-190 kJ/mol

D

-150 kJ/mol

Correct Answer

Option A

Detailed Explanation

Using the formula ∆G = ∆H sys - T∆S sys, convert ∆S sys to kJ (200 J/mol·K = 0.2 kJ/mol·K): ∆G = -150 kJ/mol - (298 K × 0.2 kJ/mol·K) = -150 kJ/mol - 59.6 kJ/mol = -90.4 kJ/mol, approximated to -90 kJ/mol.

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