MCQ
Given two process :

$\frac{1}{2}{P_4}(s) + 3C{l_2}(g) \to 2PC{l_3}(l)\,;$     $\Delta H=-635 \,kJ$

$PC{l_3}(l) + C{l_2}(g) \to PC{l_5}(s)\,;$     $\Delta H=-137\, kJ$

The value of heat of formation of $PCl_5$ is ......$kJ\,mol^{-1}$

  • A
    $454.5 $
  • $-454$
  • C
    $-772$
  • D
    $-498$

Answer

Correct option: B.
$-454$
b
$\frac{1}{4} \mathrm{P}_{4}(\mathrm{s})+\frac{3}{2} \mathrm{Cl}_{2}(\mathrm{g}) \rightarrow \mathrm{PCl}_{3}(l) ; \Delta \mathrm{H}=-\frac{635}{2} \,\mathrm{kJ}$

$\mathrm{PCl}_{3}(l)+\mathrm{Cl}_{2}(\mathrm{g}) \rightarrow \mathrm{PCl}_{5}(\mathrm{s}) ; \Delta \mathrm{H}=-137\, \mathrm{kJ}$

On adding $\frac{1}{4} \mathrm{P}_{4}(\mathrm{s})+\frac{5}{2} \mathrm{Cl}_{2}(\mathrm{g}) \rightarrow \mathrm{PCl}_{5}(\mathrm{s}) ; \Delta \mathrm{H}=-454.5\, \mathrm{kJ}$

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