NEET 2023, Chemistry Q36: Gibbs Energy Change and Equilibrium

NEET2023Chemistry

The equilibrium concentrations of the species in the reaction $A + B ⇌ C + D$ are $2$ , $3$ , $10$ and $6$ mol L $^{- 1}$ , respectively at $300$ K. $Δ G^{0}$ for the reaction is ( $R = 2$ cal/mol K):

A
$- 137.26$ cal
B
$- 1381.80$ cal
C
$- 13.73$ cal
D
$1372.60$ cal

Solution

At equilibrium, $K_{e q} = \frac{[ C ] [ D ]}{[ A ] [ B ]} = \frac{10 \times 6}{2 \times 3} = 10$ .

$Δ G^{0} = - 2.303 R T lo g K_{e q} = - 2.303 \times 2 \times 300 \times lo g 10$

$= - 2.303 \times 600 \times 1 = - 1381.8$ cal.

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NEET 2023, Chemistry Q36: Gibbs Energy Change and Equilibrium

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