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  • The equilibrium concentrations of the species in the reaction <img alt="A+B \rightleftharpoons C+D" src="https://entrancecorner.oncodecogs.com/gif.latex?A&plus;B%20%5Crightleftharpoons%20C&

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

Option: 1

1372.60\, \, \mathrm{cal}


Option: 2

-137.26 \, \, \mathrm{cal}


Option: 3

-1381.80 \, \, \mathrm{cal}


Option: 4

-13.73\, \, \mathrm{cal}


Answers (1)

best_answer

\begin{aligned} & \mathrm{A}+\mathrm{B} \rightleftharpoons \mathrm{C}+\mathrm{D} \\ & 2 \mathrm{M} \quad 3 \mathrm{M} \quad 10 \mathrm{M} \quad 6 \mathrm{M} \\ & \mathrm{K}_{\mathrm{C}}=\frac{10 \times 6}{2 \times 3}=10 \\ & \Delta G^{\circ}=-2.303 R T \log \mathrm{K}_{\mathrm{C}} \\ & =-2.303 \times 2 \times 300 \log 10 \\ & =-1381.80 \mathrm{cal} \\ & \end{aligned}

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