An ideal gas expands isothermally from a volume $V_1$ to $V_2$ and then compressed to original volume $V_1$ adiabatically. Initial pressure is $P_1$ and final pressure is $P_3$. The total work done is $W$. Then
$P_3 > P_1$, $W > 0$
$P_3 < P_1$, $W < 0$
$P_3 > P_1$, $W < 0$
$P_3 = P_1$, $W = 0$
An ideal monoatomic gas is taken round the cycle $ABCDA$ shown in the $PV$ diagram in the given fig. The work done during the cycle is
An ideal gas expands isothermally from a volume $V_1$ to $V_2$ and then compressed to original volume $V_1$ adiabatically. Initial pressure is $P_1$ and final pressure is $P_3$ . The total work done is $W$ . Then
If $R =$ universal gas constant, the amount of heat needed to raise the temperature of $2 \,mol$ of an ideal monatomic gas from $273\, K$ to $373\, K$ when no work is done is-
An ideal gas is expanding such that $PT^2 =$ constant. The coefficient of volume expansion of the gas is
A thermodynamic cycle of an ideal gas is shown in the figure. Choose the correct option which represents the same cycle