The air tight and smooth pistons of a cylindrical vessel are connected with a string, as shown. Initially, pressure and temperature of the gas are P0 and T0. The atmospheric pressure is also P0. At a later time. tension in the string is 38P0A where A is the crosssectional are of the cylinder. At this time, the temperature of the gas has become:
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a
38T0
b
34T0
c
118T0
d
138T0
answer is C.
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Detailed Solution
T+P0A=PA T=P−P0A=38P0A (given) P=38P0+P0=118P0Now volume is constant by stringSo, P ∝ TInitial temperature is T0.