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 res

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Initially a gas of diatomic molecules is contained in a cylinder of volume V 1 at a pressure P 1 and temperature 250 &#160; 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 &#160; K , when contained in a volume 2 V 1 is given by P 2 . The ratio P 2 / P 1 is -

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Correct answer: 5

&#160;&#160; P 1 = P 1 v 1 = v 1 T 1 = 250 n 1 = n 0 n 2 = 0 . 75 n 0 + 2 &#215; 0 . 25 n 0 = 1 . 25 no v 2 = 2 V 1 T 2 = 2000 P 1 V 1 = n 1 RT 1 P 2 V 2 = n 2 RT 2 P 1 V 1 = n 0 R &#215; 250 P 2 2 V 1 = . 25 n 0 R ( 2000 ) equation ( 1 ) &#160; / ( 2 ) P 1 2 P 2 = 250 1 . 25 &#215; 2000 P 1 P 2 = 1 5 P 2 P 1 = 5

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