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Question: Air is filled in a bottle at atmospheric pressure and it is corked at 35°C. If the cork can come out...

Air is filled in a bottle at atmospheric pressure and it is corked at 35°C. If the cork can come out at 3 atmospheric pressure than upto what temperature should the bottle be heated in order to remove the cork

A

325.5°C

B

851°C

C

651°C

D

None of these

Answer

651°C

Explanation

Solution

At constant volume

P1T1=P2T2\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}̃T2=(P2P1)T1T_{2} = \left( \frac{P_{2}}{P_{1}} \right)T_{1}

̃ T2=(3PP)×(273+35)=3×308=924KT_{2} = \left( \frac{3P}{P} \right) \times (273 + 35) = 3 \times 308 = 924K=651°C