Solve this following


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

  1. $\frac{2 R}{4+12}$

  2. $\frac{2 R}{4-R}$

  3. $\frac{4-R}{2 R}$

  4. $\frac{4+R}{2 R}$

Correct Option: , 3


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