The equilibrium concentrations of the species in the reaction A+B C+D are 4,3,12 and 6 mol L ^ -1 respectively at 300 K . G ^0 for the reaction is approximately. (R=2 cal / mol K( 6 0.778))

The equilibrium concentrations of the species in the reaction A+B…

MCQ

The equilibrium concentrations of the species in the reaction $A+B \rightleftharpoons C+D$ are $4,3,12$ and $6$ mol $L ^{-1}$ respectively at $300 K . \Delta G ^0$ for the reaction is approximately.
$(R=2 cal / mol K(\log 6 \approx 0.778))$

A
1175 cal
B
$-1002 cal$
C
$-992 cal$
✓
$-1075 cal$

✓

Answer

Correct option: D.

$-1075 cal$

(D)
$\begin{array}{l} K _{ eq }=\frac{[ C ][ D ]}{[ A ][ B ]} \\ K _{ eq }=(12 \times 6)(4 \times 3)=6 \\ \Delta G ^0=-2.303 RT \log K _{ eq }=-2.303(2)(300)(\log 6) \\ =-1075 cal \text { approx. } \quad(\because R =2 cal / mol k )\end{array}$

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