MCQ
Calculate $\Delta G\,^\circ $ for conversion of oxygen to ozone $3/2\;{O_2}(g) \to {O_3}(g)$ at $298 \,K$, if ${K_p}$ for this conversion is $2.47 \times {10^{ - 29}}$
  • $163\;kJ\;mo{l^{ - 1}}$
  • B
    $2.4 \times {10^2}\;kJ\;mo{l^{ - 1}}$
  • C
    $1.63\;kJ\;mo{l^{ - 1}}$
  • D
    $2.38 \times {10^6}\;kJ\;mo{l^{ - 1}}$

Answer

Correct option: A.
$163\;kJ\;mo{l^{ - 1}}$
(a) As we know that, $\Delta {G^o} = - 2.303 \,RT\,\log \,{K_p}$

Therefore, $\Delta {G^o} = - 2.303 \times (8.314) \times (298)\,$

$(\log \,2.47 \times {10^{ - 29}})$

$\Delta {G^o} = 16,3000\,J\,mo{l^{ - 1}}$$ = 163\,KJ\,mo{l^{ - 1}}$

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