JEE Main 2009 — Thermodynamics

The net work done on the gas in the cycle ABCDA is

One kg of a diatomic gas is at a pressure of $8 \times 10^4 \mathrm{~N} / \mathrm{m}^2$. The density of the gas is $4 \mathrm{~kg} / \mathrm{m}^{-3}$. What is the energy of the gas due to its thermal motion?

Assuming the gas to be ideal the work done on the gas in taking it from $A$ to $B$ is

A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature $\theta$ along the length $x$ of the bar from its hot end is best described by which of the following figure.

The work done on the gas in taking it from $D$ to $A$ is