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:

Question

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:

Infinity Learn · Accepted Answer

$$T+P0A=PA$$             $$T=P$$−$$P0A=38P0A$$ (given) $$P=38P0+P0=118P0Now$$ volume is constant by stringSo, P ∝ TInitial temperature is $$T0$$.

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