ThermodynamicsHard

Question

For a reaction A$\rightleftharpoons$B carried out at 27°C, the ratio of equilibrium concentrations of the product to reactant changes by a factor of e4 for every

Options

A.1.2 kcal rise in ΔG°.
B.1.2 kcal fall in ΔG°.
C.2.4 kcal rise in ΔG°.
D.2.4 kcal fall in ΔG°.

Solution

$\Delta G_{1}^{o} = - RT.\ln K_{1}\text{ and }\Delta G_{2}^{o} = - RT.\ln K_{2}$

$\text{Now, }\Delta G_{2}^{o} - \Delta G_{1}^{o} = - RT\left\lbrack \ln K_{2} - \ln K_{1} \right\rbrack $$$= - RT\left\lbrack \ln e^{4} \right\rbrack$$

= –2 × 300 × 4 = –2400 cal

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