K K Sharma Solutions for Chapter: Thermodynamics, Exercise 1: TOPICWISE QUESTIONS

One mole of an ideal gas at an initial temperature of $\mathrm{T}$ kelvin does $6 \mathrm{R}$ joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is $\frac{5}{3}$, then the final temperature of the gas will be

The volume of a$2 \mathrm{mole}$ ideal gas at $27 °\mathrm{C}$ is $\mathrm{V}$. It expands adiabatically to the volume $2 \mathrm{V}$. If $\mathrm{\gamma }=\frac{5}{3}, \mathrm{R}=8.31\mathrm{J} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1}$, then the work done is $(\mathrm{Take} \sqrt[3]{2}=1.25)$

A gas for which $\gamma =\frac{5}{3}$ is heated at constant pressure. The percentage of total heat given that will be used for external work is

Find the amount of work done to increase the temperature of one mole of an ideal gas by $30 °\mathrm{C}$ if it is expanded adiabatically under the condition $V\propto T^{\frac{2}{3}}$.
$[R=1.99 \mathrm{cal} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1}]$

Two samples, $A$ and $B,$ having same composition and initially at the same temperature and pressure are compressed from a volume$V$ to $\frac{V}{2}$, $A$ isothermally and$B$adiabatically. The final pressure of $A$ is

Select the wrong statement for the isothermal expansion of an ideal gas.

A sample of an ideal gas initially having internal energy $U_1$, is allowed to expand adiabatically performing work $W.$ Now heat $Q$is supplied to the gas to bring it to the initial pressure, keeping volume constant. If final internal energy is $U_2$, then $U_2-U_1$ is,

The $T$-$S$ diagram of a reversible engine cycle is given in the figure. Its efficiency is,