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-

In the indicator diagram (in figure), net amount of work done will be

$1\;g$ of water, of volume $1\; \mathrm{cm}^{3}$ at $100^{\circ} \mathrm{C},$ is converted into steam at same temperature under normal atmospheric pressure $\left(=1 \times 10^{5} \;\mathrm{Pa}\right) .$ The volume of steam formed equals $1671 \;\mathrm{cm}^{3} .$ If the specific latent heat of vaporisation of water is $2256\; \mathrm{J} / \mathrm{g}$, the change in intemal energy is.....$J$

Three moles of an ideal monoatomic gas perform a cycle as shown in the figure. The gas temperature in different states are: $T_1 = 400\, K,\, T_2 = 800\, K,\, T_3 = 2400\, K$ and $T_4 = 1200\,K$ . The work done by the gas during the cycle is  .... $kJ$

A perfect gas is found to obey the relation $PV^{3/2} =$ constant, during an adiabatic process. If such a gas, initially at a temperature $T$, is compressed adiabatically to half its initial volume, then its final temperature will be

A carnot engine having an efficiency of  as heat engine, is used as a refrigerator. If the work done on the system is $10 \,J,$ the amount of energy absorbed from the reservoir at lower temperature is .......... $\mathrm{J}$