Q25 / 100 · BITSAT 2022 · Chemistry

For an isomerisation reaction $A \rightleftharpoons B$, the temperature dependence of equilibrium constant is given by $\log _e K=4.0-\frac{2000}{T}$ The value of $\Delta S^{\circ}$ at Hook is, therefore

  • Correct answer
    A
    $4 R$
  • B
    $5 R$
  • C
    $400 R$
  • D
    $2000 R$

Solution

van't Hoff equation giving variation of equilibrium constant, $K$ with temperature $T$ is $\log _e K=-\frac{\Delta H^{\circ}}{R T}+\frac{\Delta S^{\circ}}{R}$ Given, $\quad \log _e K=-\frac{2000}{T}+4.0$ $\therefore \quad \Delta S^{\circ} / R=4 \Rightarrow \Delta S^{\circ}=4 R$

Hence, the correct answer is option: 'A'.

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