MCQ
For the following reaction in gaseous phase $CO\left( g \right) + \frac{1}{2}{O_2}\left( g \right) \to C{O_2}\left( g \right),{K_p}/{K_c}$ is
  • A
    $(RT)^{1/2}$
  • $(RT)^{-1/2}$
  • C
    $(RT)$
  • D
    $(RT)^{-1}$

Answer

Correct option: B.
$(RT)^{-1/2}$
b
For a gaseous phase reaction $K_p$ and $K_c$ are related as

${K_p} = {K_c}{(RT)^{\Delta {n_g}}}$

For the given reaction,

$CO(g) + \frac{1}{2}{O_2}(g) \to C{O_2}(g)$

$\Delta {n_g} = 1 - (1 + 0.5) =  - 0.5\,or\, - \frac{1}{2}$

$\therefore \,{K_p} = {K_c}{(RT)^{ - \frac{1}{2}}}$

$or\,\frac{{{K_p}}}{{{K_c}}} = {(RT)^{ - \frac{1}{2}}}$

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