The equilibrium concentrations of the species in the reaction are 2, 3, 10 and 6 mol , respectively at 300 K. for the reaction is (R = 2 cal/mol K) [2023]

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Solution

Q.
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. $Δ G °$ for the reaction is (R = 2 cal/mol K) [2023]

1 -1381.80 cal

2 -13.73 cal

3 1372.60 cal

4 -137.26 cal

Ans.
(1)

$A + B ⇌ C + D$

$K = \frac{[C] [D]}{[A] [B]} = \frac{10 \times 6}{2 \times 3} = 10$

$Δ G ° = - R T \ln K$

$Δ G ° = - 2.303 R T \log K$

$Δ G ° = - 2.303 \times 2 \times 300 \times \log 10$

$= - 2.303 \times 2 \times 300 = - 1381.80$ $cal$

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