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Chemistry
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
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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
KCET
KCET 2012
Thermodynamics
A
$+11.96\, kJ$
48%
B
$-11.96\, kJ$
28%
C
$-5.43\, kJ$
15%
D
$-8.46\, kJ$
9%
Solution:
Standard free energy change,
$\Delta G^{\circ}=-2.303 \,RT \log\, K$
$=-2.303 \times 8.314 \times 298 \times \log 0.008$
$=-2.303 \times 8.314 \times 298 \times(3 \log 2-3 \log 10)$
$=-2.303 \times 8.314 \times 298 \times(0.903-3.0)$
$=-2.303 \times 8.314 \times 298 \times(-2.097)$
$=+11965.16\, J =+11.96\, kJ$