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Chemistry · PYQ NEET UG 2023

हिन्दी

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

  1. \( 1372.60 \text{ cal} \)
  2. \( -137.26 \text{ cal} \)
  3. \( -13.73 \text{ cal} \)
  4. \( -1381.80 \text{ cal} \)

Correct answer · Option 4

\( -1381.80 \text{ cal} \)

Explanation

Equilibrium constant \( K_c = \frac{[C][D]}{[A][B]} = \frac{10 \times 6}{2 \times 3} = 10 \). Using \( \Delta G^{\circ} = -RT \ln K_c = -2.303 RT \log K_c \), we get \( -2.303 \times 2 \times 300 \times \log 10 = -1381.8 \text{ cal} \).
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