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Q. The equilibrium constant of a reaction is $0.008$ at $298\, K$. The standard free energy change of the reaction at the same temperature is

KCETKCET 2012Thermodynamics

Solution:

Standard free energy change,

$\Delta G^{\circ}=-2.303 \,RT \log\, K$

$=-2.303 \times 8.314 \times 298 \times \log 0.008$

$=-2.303 \times 8.314 \times 298 \times(3 \log 2-3 \log 10)$

$=-2.303 \times 8.314 \times 298 \times(0.903-3.0)$

$=-2.303 \times 8.314 \times 298 \times(-2.097)$

$=+11965.16\, J =+11.96\, kJ$