KVPY Sample Paper KVPY Stream-SX Model Paper-18

For the following reaction, \[{{H}_{2}}(g)+C{{l}_{2}}(g)2HCl\,(g)\]. \[\Delta G{}^\circ \] is \[-\,262kJ.\] The equilibrium constant k for the reaction at 298 K is

A) \[1.27\times {{10}^{23}}\]

B) \[3.63\times {{10}^{40}}\]

C) \[8.279\times {{10}^{45}}\]

D) \[0.03\times {{10}^{23}}\]

Correct Answer: C

Solution :

\[\Delta G{}^\circ =-262kJ=-262000J\]

\[\Delta G=-2.303RT\log k\]

\[\log k=\frac{\Delta G}{-\,2.30RT}\]\[=\frac{26200}{2.303\times 8.314\times 298}\]

\[\log k=45.918\]

\[k=8.279\times {{10}^{45}}\]