The volume of a gas is reduced adiabatically to $(1/4)^{th}$ of its volume at $27\,^oC$ . If $\gamma = 1.4$ the new temperature is
$(300)\,4^{0.4}\,K$
$(300)\,2^{0.4}\,K$
$300\,(4)^{1.4}\,K$
$(300)\,2^{1.4}\,K$
An ideal gas undergoes a thermodynamics cycle as shown in figure. Which of the following graphs represents the same cycle?
A Carnot engine operating between temperatures $T_1$ and $T_2$ has efficientcy $\frac{1}{6}$ . When $T_2$ is lowered by $62\,K$, its efficiency increases to $\frac{1}{3}$ . Then $T_1$ and $T_2$ are, respectively
A thermodynamic system is taken through the cycle $PQRSP$ process. the net work done by the system is...... $J$
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 ratio of the specific heats $\frac{{{C_p}}}{{{C_V}}} = \gamma $ in terms of degrees of freedom $(n)$ is givln by