Gujarati
Hindi
11.Thermodynamics
hard

A vertical cylinder with heat-conducting walls is closed at the bottom and is fitted with a smooth light piston. It contains one mole of an ideal gas. The temperature of the gas is always equal to the surrounding’s temperature, $T_0$. The piston is moved up slowly to increase the volume of the gas to $\eta$ times. Which of the following is incorrect?

A

Work done by the gas is $RT_0$ ln $\eta$ .

B

Work done against the atmosphere is $RT_0(\eta - 1)$.

C

There is no change in the internal energy of the gas. 

D

The final pressure of the gas is $\frac{1}{{(\eta  - 1)}}$ times its initial pressure.

Solution

isothermal process

Standard 11
Physics

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