For the equilibrium reaction $CO + 2H_2 \rightleftharpoons CH_3OH$ at $427 \, ^\circ C$,the partial pressures of $CH_3OH$,$CO$,and $H_2$ are $2.0 \, atm$,$1.0 \, atm$,and $0.1 \, atm$ respectively. What is the value of $K_P$ for the decomposition of $CH_3OH$?

  • 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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