MCQ
The ratio $\frac{{{K_p}}}{{{K_c}}}$ for the reaction

$CO\left( g \right) + \frac{1}{2}{O_2}\left( g \right) \rightleftharpoons C{O_2}\left( g \right)$ is

  • $\frac{1}{{\sqrt {RT} }}$
  • B
    ${\left( {RT} \right)^{1/2}}$
  • C
    ${RT}$
  • D
    $1$

Answer

Correct option: A.
$\frac{1}{{\sqrt {RT} }}$
a
${K_P} = {K_C}{(RT)^{\Delta {n_g}}}$

For the reaction

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

$\Delta {n_g} = 1 - \left( {1 + \frac{1}{2}} \right) =  - \frac{1}{2}$

$\therefore \,{K_P} = \frac{{{K_C}}}{{\sqrt {RT} }};\,\frac{{{K_P}}}{{{K_C}}} = \frac{1}{{\sqrt {RT} }}$

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