B M Sharma Solutions for Chapter: Thermodynamics, Exercise 4: Archives

Two moles of helium gas is taken over the cycle $ABCDA$, as shown in the $P-T$ diagram.

The work done on the gas in taking it from $D$ to $A$ is

Two moles of helium gas is taken over the cycle $ABCDA$, as shown in the $P-T$ diagram.

The net work done on the gas in the cycle $ABCDA$ is

A carnot engine operating between temperatures $T_1$ and $T_2$ has efficiency $\frac{1}{6}$. When $T_2$ is lowered by $62 \mathrm{K}$, its efficiency increases to $\frac{1}{3}$. Then $T_1$ and $T_2$ are, respectively

A carnot engine, whose efficiency is $40\%$, takes in heat from a source maintained at a temperature of $500 \mathrm{K}$. It is desired to have an engine of efficiency $60\%$. Then, the intake temperature for the same exhaust (sink) temperature must be

$C_{\mathrm{P}}$ and $C_{\mathrm{V}}$ are specific heats at constant pressure and constant volume, respectively. It is observed that $C_{\mathrm{P}}-C_{\mathrm{V}}=a$ for hydrogen gas, $C_{\mathrm{P}}-C_{\mathrm{V}}=b$ for nitrogen gas. The correct relation between $a$ and $b$ is

Two moles of ideal helium gas are in a rubber balloon at $30°\mathrm{C}.$ The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to $35°\mathrm{C}.$ The amount of heat required in raising the temperature is nearly $(\mathrm{take} R=8.31\mathrm{J}/\mathrm{molK}):$

One mole of an ideal gas in initial state $A$ undergoes a cyclic process $ABCA$, as shown in the figure. Its pressure at $A$ is $P_0$. Choose the correct option(s) from the following

One mole of a monatomic ideal gas undergoes four thermodynamic processes as shown schematically in the $PV$-diagram below. Among these four processes, one is isobaric, one is isochoric, one is isothermal and one is adiabatic. Match the processes mentioned in List-I with the corresponding statements in List-II.