$5.6\,liter$ of helium gas at $STP$ is adiabatically compressed to $0.7\,liter$ . Taking the initial temperature to be $T_1$ , the work done in the process is
$\frac{9}{8}R{T_1}$
$\frac{3}{2}R{T_1}$
$\frac{15}{8}R{T_1}$
$\frac{9}{2}R{T_1}$
The efficiency of a Carnot's engine, working between steam point and ice point, will be $....\,\%$
In thermodynamic processes which of the following statements is not true
The average degree of freedom per molecule of a gas is $6$ . The gas performs $25\ J$ work, while expanding at constant pressure. The heat absorbed by the gas is .... $J$
A carnot engine, having an efficiency of $\eta = 1/10$ as heat engine, is used as a refrigetator. If the work done on the system is $10\,J$ , the amount of energy absorbed from the reservoir at lower temperature is .......... $\mathrm{J}$
$2$ moles of a diatomic gas undergoes the process : $PT_2/V$ = constant. Then, the molar heat capacity of the gas during the process will be equal to