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Question

Air is pumped into an automobile tyre's tube up to a pressure of 200 kPa in the morning when the air temperature is 20°C. During the day the temperature rises to 40°C and the tube expands by 2%. Calculate the pressure of the air in the tube at this temperature.

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Solution

Here,P1=2×105 PaP2=?T1=293 KT2=313 KV2=V1+0.02V1=V1(1.02)Now,P1V1T1=P2V2T22×105V1293=P2V1(1.02)313P2=2×105×313293×1.02=209 kPa

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