MCQ
Solid $KClO_3$ is taken in a container maintained at constant pressure of $1\,atm$. Upon heating following equilibrium is obtained

$2KCl{O_4}(s) \rightleftharpoons 2KCl(s) + 3{O_2}(g)$

If $\Delta {H^o} = 25\,kcal/mol$ and $\Delta {S^o} = 50\,cal/K$, at what temperature equilibrium will be established in the container. (Ignore variation of $\Delta {H^o}$ and $\Delta {S^o}$ with temperature.)......$K$

  • A
    $298$
  • $500$
  • C
    $5000$
  • D
    $300$

Answer

Correct option: B.
$500$
b
$\Delta \mathrm{G}^{\circ}=\Delta \mathrm{H}^{\circ}-\mathrm{T} \Delta \mathrm{S}^{\circ}$

At equilibrium $\Delta \mathrm{G}^{\circ}=0$

$\Delta \mathrm{H}^{\circ}=\mathrm{T} \Delta \mathrm{S}^{\circ}$

$25 \times 1000=50 \times \mathrm{T}$

$\mathrm{T}=\frac{1000}{2}=500\, \mathrm{K}$

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