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6.1. Equilibrium - 1 (chemical Equilibrium) — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry6.1. Equilibrium - 1 (chemical Equilibrium)1 Mark
MCQ
The equilibrium concentrations of the species in the reaction $A + B \rightleftharpoons C + D$ are $2,3,10$ and $6\,mol\,L-1$, respectively at $300\,K . \Delta G ^{\circ}$ for the reaction is ( $\left.R =2\,cal / mol\, K \right)$
  • A
    $-13.73\,cal$
  • B
    $1372.60\,cal$
  • C
    $-137.26\,cal$
  • ✓
    $-1381.80\,cal$
✓

Answer

Correct option: D.
$-1381.80\,cal$
d
$A + B \rightleftharpoons C + D$

at equilibrium $2 \quad 3 \quad 10 \quad 6$

$k _{ eq }=[ C ][ D ] /[ A ][ B ]$

$k _{ eq }=\frac{10 \times 6}{2 \times 3}=10$

$\Delta G^{\circ} =-R T \ln K$

$=-2.303\,RT\, \log K$

$=-2.303 \times 2 \times 300 \times \log 10$

$=-1381.8\,cal$

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