The pressure of a gas changes linearly with volume from $A$ to $B$ as shown in the figure. If no heat is supplied to or extracted from the gas,then the change in the internal energy of the gas will be $............\,J$.

In the given $P-V$ diagram,the initial state of an ideal gas is represented by point $a$ and the final state by point $e$. The gas moves from state $a$ to state $e$ along paths $(i) abe, (ii) ace, (iii) ade$. The heat absorbed by the gas will be:

$A$ gas takes part in two processes in which it is heated from the same initial state $1$ to the same final temperature. The processes are shown on the $P-V$ diagram by the straight lines $1-2$ and $1-3$. Points $2$ and $3$ lie on the same isothermal curve. If $Q_1$ and $Q_2$ are the heat transferred along the two processes,then:

One mole of a monoatomic gas is carried along the process $ABCDEA$ as shown in the diagram. Find the net work done by the gas in $J$.

Work done for the process shown in the figure is ............ $J$

An ideal gas is taken through the cycle $A \to B \to C \to A$,as shown in the figure. If the net heat supplied to the gas in the cycle is $5\,J$,the work done by the gas in the process $C \to A$ is ...... $J$.