During an experiment an ideal gas is found to obey an additional law $VP^2 =$ constant. The gas is initially at temperature $T$ and volume $V$. What will be the temperature of the gas when it expands to a volume $2V$?
$T' = \sqrt 4 \,T$
$T' = \sqrt 2 \,T$
$T' = \sqrt 5 \,T$
$T' = \sqrt 6 \,T$
One mole of an ideal diatomic gas undergoes a transition from $A$ to $B$ along a path $AB$ as shown in the figure
The change in internal energy of the gas during the transition is
The internal energy change in a system that has absorbed $2\,\, kcal$ of heat and done $500\, J$ of work is ........... $\mathrm{J}$
The heat energy absorbed by a system in going through a cyclic process shown in figure is
If $R =$ universal gas constant, the amount of heat needed to raise the temperature of $2\, mol$ of an ideal monoatomic gas from $273\, K$ to $373\, K$ when no work is done is
A gas mixture consists of $2$ moles of oxygen and $4$ moles argon at temperature $T$. Neglecting all vibrational modes, the total internal energy of the system is