MCQ
Solid $KClO_3$ is taken in a container maintained at constant pressure of $1\,atm$. Upon heating following equilibrium is obtained
$2KCl{O_3}\left( s \right){\text{ }} \rightleftharpoons \,\,2KCl\left( s \right){\text{ }} + {\text{ }}3{O_2}\left( g \right)$

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
$\Delta G=O$

$\Delta G=\Delta H-T \Delta S=0$

$T=\frac{\Delta H}{\Delta S}=\frac{25 \times 1000}{50}=500\, K$

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