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Q.

The pressure and temperature of an ideal gas in a closed vessel are 720 kPa and 40oC respectively. If 14th of the gas is released from the vessel and the temperature of the remaining gas is raised to 353oC, the final pressure of the gas is

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a

1440 kPa

b

1080 kPa

c

720  kPa

d

540 kPa

answer is B.

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Detailed Solution

P1=720kpa, T1=40∘C=273+40=313KP∝mT⇒P2P1=m2m1T2T1=34×626313=1.5⇒P2=1.5P1=1.5×720=1080kPa
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The pressure and temperature of an ideal gas in a closed vessel are 720 kPa and 40oC respectively. If 14th of the gas is released from the vessel and the temperature of the remaining gas is raised to 353oC, the final pressure of the gas is