Initially a gas of diatomic molecules is contained in a cylinder of volume $V _{1}$ at a pressure $P_{1}$ and temperature $250\, K$. Assuming that $25 \%$ of the molecules get dissociated causing a change in number of moles. The pressure of the resulting gas at temperature $2000\, K ,$ when contained in a volume $2 V _{1}$ is given by $P _{2}$. The ratio $\frac{P _{2}}{ P _{1}}$ is.
JEE MAIN 2020, Medium
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