$0.5 \, mol$ of gas $A$ and $x \, mol$ of gas $B$ exert a pressure of $200 \, Pa$ in a container of volume $10 \, m^3$ at $1000 \, K$. Given $R$ is the gas constant in $J \, K^{-1} \, mol^{-1}$,$x$ is

  • A
    $\frac{2R}{4 + R}$
  • B
    $\frac{2R}{4 - R}$
  • C
    $\frac{4 + R}{2R}$
  • D
    $\frac{4 - R}{2R}$

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