# Initially, a gas of diatomic molecules is contained in a cylinder of volume V, at a pressure $P_{1}$ and temperature 250k. Assume that 25% of the molecules gets dissociated causing a change in no.of moles. The pressure of the resulting gas at temperature 2000 k , when contained in the volume $2V_{1}$ is given by $p_{2}$ The ratio of $\frac{p_{2}}{p_{1}}=$   _________ Option: 1 5 Option: 2 10 Option: 3 15 Option: 4 20

\begin{aligned} &\mathrm{PV}=\mathrm{nRT}\\ &\mathrm{P}_{1} \mathrm{~V}_{1}=\mathrm{nR} 250\\ &\mathrm{P}_{2}\left(2 \mathrm{~V}_{1}\right)=\frac{5 \mathrm{n}}{4} \mathrm{R} \times 2000\\ &\text { Divide }\\ &\frac{P_{1}}{2 P_{2}}=\frac{4 \times 250}{5 \times 2000}\\ &\frac{P_{1}}{P_{2}}=\frac{1}{5}\\ &\frac{P_{2}}{P_{1}}=5 \end{aligned}

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