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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
 

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\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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Deependra Verma

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