Embibe Experts Solutions for Chapter: Thermodynamics, Exercise 2: Level 2

$C_{\mathrm{P}}$ 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

A gas at state $A$ changes to state $B$ through path $\mathrm{I}$ and $\mathrm{II}$ shown in figure. The change in internal energy is $\mathrm{\Delta }{U}_1$ and $\mathrm{\Delta }{U}_2$, respectively. Then

If system $A$ is in thermal equilibrium with $B$ and $B$ is separately in thermal equilibrium with $C,$ then $A$ and $C$ are in thermal equilibrium. From which thermodynamics law, does this follow?

A thermodynamic system is taken through the cycle $ABCD$ as shown in the figure. Heat rejected by the gas during the cycle is:

The efficiency of Carnot engine is $0.6$. It rejects $20 \mathrm{J}$ of heat to sink. The work done by the engine is

In an adiabatic process, the state of a gas is changed from $P_1,V_1,T_1$ to $P_2,V_2,T_2$. Which of the following relation is correct?

In a Carnot engine, when heat is taken by a perfect gas from the source, then the temperature of the source

The source and sink temperatures of a Carnot engine are $400 \mathrm{K}$ and $300 \mathrm{K}$, its efficiency is