The partial pressures of $CH_3OH$,$CO$ and $H_2$ in the equilibrium mixture for the reaction $CO(g) + 2H_2(g) \rightleftharpoons CH_3OH(g)$ at $427 \ ^oC$ are $2.0 \ atm$,$1.0 \ atm$ and $0.1 \ atm$ respectively. The value of $K_P$ for the decomposition of $CH_3OH$ to $CO$ and $H_2$ is:

  • A
    $1 \times 10^2 \ atm^2$
  • B
    $2 \times 10^2 \ atm^{-2}$
  • C
    $50 \ atm^2$
  • D
    $5 \times 10^{-3} \ atm^2$

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