MCQ
The partial pressures of $C{H_3}OH,\,CO$ and ${H_2}$ in the equilibrium mixture for the reaction $CO + 2{H_2}$ $\rightleftharpoons$ $CH_3OH$ at $427\,^oC$ are $2.0$, $1.0$ and $0.1$ $atm$ respectively. The value of ${K_P}$ for the decomposition of $C{H_3}OH$ to $CO$ and ${H_2}$ is
  • A
    $1 \times {10^2}$ $atm$
  • B
    $2 \times {10^2}\,at{m^{ - 1}}$
  • C
    $50\,\,at{m^2}$
  • $5 \times {10^{ - 3}}\,at{m^2}$

Answer

Correct option: D.
$5 \times {10^{ - 3}}\,at{m^2}$
(d) $C{H_3}OH \to CO + 2{H_2}$

$\frac{{{{[{H_2}]}^2}[CO]}}{{[C{H_3}OH]}} = \frac{{0.1 \times 0.1 \times 1}}{2} = \frac{{0.01}}{2} = \frac{{10 \times {{10}^{ - 3}}}}{2}$

$ = 5 \times {10^{ - 3}}$.

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