question_answer 1)

Hydrolysis of sucrose gives Sucrose + \[{{H}_{2}}O\rightleftharpoons \] Glucose + Fructose Equilibrium constant \[{{K}_{c}}\] for the reaction is \[2\times {{10}^{13}}\] at 300 K. Calculate \[\Delta G{}^\circ \]at 300 K.

Answer:

\[\Delta {{G}^{{}^\circ }}=-2.303\times 8.314\times 300{{\log }_{10}}(2\times {{10}^{13}})\] \[=-2.303\times 8.314\times 300{{\log }_{10}}(2\times {{10}^{13}})\] \[=-76403J\] \[=7.64\times {{10}^{4}}J\,mo{{l}^{-1}}\]