In a thermodynamic process helium gas obeys the law $TP^{-2 /5} =$ constant. The heat given to the gas when the temperature of $2$ moles of the gas is raised from $T$ to $4T$ $(R$ is the universal gas constant) is :-

When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas, is

Six moles of an ideal gas performs a cycle shown in figure. If the temperatures are $T_A = 600\, K,$ $T_B = 800\,K,$ $T_C = 2200\,K$ and $T_D = 1200\,K,$ then the work done per cycle is approximately ...... $kJ$

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

An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity $C$ remains constant. If during this process the relation of pressure $P$ and volume $V$ is given by $PV^n = $ constant, then $n$ is given by (Here $C_P$ and $C_V$ are molar specific heat at constant pressure and constant volume, respectively)

A cyclic process $ABCD$ is shown in the given $P-V$ diagram. In the following answer, the one that represents the same process as in $P-T$ diagram is