The ratio of the specific heats $\frac{{{C_p}}}{{{C_V}}} = \gamma $ in terms of degrees of freedom $(n)$ is givln by

A gas is compressed isothermally to half its initial volume. The same gas is compressed  separately through an adiabatic process until its volume is again reduced to half. Then

$1\  cc$ of water at its boiling point $(100^o\  C)$ is converted into steam by supplying it $540\  calories$ of heat the volume of steam is $1671\  cc$. If atmospheric pressure is $1.013 × 10^ 5\  Nm^{-2}$ and $J = 4.18\  joule/cal$ the approximate value of heat that is required in overcoming the molecular attraction is ........ $cal$

Three processes compose a thermodynamics cycle shown in the $PV$ diagram. Process $1\rightarrow 2$ takes place at constant temperature. Process $2\rightarrow 3$ takes place at constant volume, and process $3\rightarrow 1$ is adiabatic. During the complete cycle, the total amount of work done is $10\,\, J$. During process $2\rightarrow 3$, the internal energy decrease by $20\,\,J$ and during process $3\rightarrow 1,$ $20\,\, J$ of work is done on the system. How much heat is added to the system during process $1\rightarrow 2\,\,?$ ...... $J$

An ideal gas expands in such a way that $PV^2 =$ constant throughout the process

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 .......... $\mathrm{J}$