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 inthe string is 38P0A where A is the cross sectional are of the cylinder. At this time, the temperature of the gas has become

PoTo=Po+3Po81T⇒118To=41500J=41.50kJ

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 inthe string is 38P0A where A is the cross sectional are of the cylinder. At this time, the temperature of the gas has become

PoTo=Po+3Po81T⇒118To=41500J=41.50kJ

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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 $\frac{3}{8} P_{0} A$ where A is the cross sectional are of the cylinder. At this time, the temperature of the gas has become

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$\frac{3}{8} T_{0}$

$\frac{3}{4} T_{o}$

$\frac{11}{8} T_{0}$

$\frac{13}{8} T_{o}$

answer is C.

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Detailed Solution

$\begin{array}{l} \frac{P_{o}}{T_{o}} = (P_{o} + \frac{3 P_{o}}{8}) \frac{1}{T} \Rightarrow \frac{11}{8} T_{o} \\ = 41500 J = 41 .50 kJ \end{array}$

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