NEET 2020

NEET 2020 Chemistry question on Chemical Thermodynamics

Hydrolysis of sucrose is given by the following reaction.

Sucrose+H2O→Glucose+Fructose\text{Sucrose} + \text{H}_2\text{O} \rightarrow \text{Glucose} + \text{Fructose}

If the equilibrium constant (KCK_C) is 2×10132 \times 10^{13} at 300 K, the value of ΔrG∘\Delta_r G^\circ at the same temperature will be :
  1. A.
    8.314 J mol−1K−1×300 K×ln⁡(2×1013)8.314\,\text{J mol}^{-1}\text{K}^{-1} \times 300\,\text{K} \times \ln(2 \times 10^{13})
  2. B.
    8.314 J mol−1K−1×300 K×ln⁡(3×1013)8.314\,\text{J mol}^{-1}\text{K}^{-1} \times 300\,\text{K} \times \ln(3 \times 10^{13})
  3. C.
    −8.314 J mol−1K−1×300 K×ln⁡(4×1013)-8.314\,\text{J mol}^{-1}\text{K}^{-1} \times 300\,\text{K} \times \ln(4 \times 10^{13})
  4. D.
    −8.314 J mol−1K−1×300 K×ln⁡(2×1013)-8.314\,\text{J mol}^{-1}\text{K}^{-1} \times 300\,\text{K} \times \ln(2 \times 10^{13})
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Correct option: D

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