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ChemistryNEET 2020Entropy and Gibbs energy, spontaneity

Thermodynamics

Hydrolysis of sucrose is given by the following reaction:

Sucrose+H2O⇌Glucose+Fructose\mathrm{Sucrose + H_2O \rightleftharpoons Glucose + Fructose}

If the equilibrium constant (KCK_C) is 2×10132 \times 10^{13} at 300 K, the value of ΔrG∘\Delta_rG^\circ at the same temperature will be:

  1. A.−8.314 J mol−1 K−1×300 K×ln⁡(2×1013)-8.314\ \mathrm{J\,mol^{-1}\,K^{-1}} \times 300\ \mathrm{K} \times \ln(2 \times 10^{13})✓
  2. B.8.314 J mol−1 K−1×300 K×ln⁡(2×1013)8.314\ \mathrm{J\,mol^{-1}\,K^{-1}} \times 300\ \mathrm{K} \times \ln(2 \times 10^{13})
  3. C.8.314 J mol−1 K−1×300 K×ln⁡(3×1013)8.314\ \mathrm{J\,mol^{-1}\,K^{-1}} \times 300\ \mathrm{K} \times \ln(3 \times 10^{13})
  4. D.−8.314 J mol−1 K−1×300 K×ln⁡(4×1013)-8.314\ \mathrm{J\,mol^{-1}\,K^{-1}} \times 300\ \mathrm{K} \times \ln(4 \times 10^{13})

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