Embibe Experts Solutions for Chapter: Thermodynamics, Exercise 3: Exercise-3

$N$ moles of a monoatomic gas is carried round the reversible rectangular cycle $ABCDA$ as shown in the diagram. The temperature at $A$ is $T_0$. The thermodynamic efficiency of the cycle is approximately

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

Helium gas goes through a cycle $ABCDA$ (consisting of two isochoric and isobaric lines) as shown in the figure. The efficiency of this cycle is nearly (assume the gas to be close to ideal gas) 

The shown $p-V$ diagram represents the thermodynamic cycle of an engine operating with an ideal mono atomic gas. The amount of heat extracted from the source in a single cycle is

One mole of diatomic ideal gas undergoes a cyclic process $ABC$ as shown in the figure. The process $BC$ is adiabatic. The temperature at $A, B$ and $C$ are $400 \mathrm{K}$, $800 \mathrm{K}$ and $600 \mathrm{K}$, respectively. Choose the correct statement.

$C_{\mathrm{P}}$ 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 can be taken from $A$ to $B$ via two different processes $ACB$ and $ADB$. When path $ACB$ is used $60 \mathrm{J}$ of heat flows into the system and $30 \mathrm{J}$ of work is done by the system. If path $ADB$ is used work done by the system is $10 \mathrm{J}$. The heat flow into the system in path $ADB$ is

Three Carnot engines operate in series between a heat source at a temperature $T_1$ and a heat sink at temperature $T_4$ (see figure). There are two other reservoirs at temperature $T_2$ and $T_3$ as shown with $T_1>T_2>T_3>T_4.$ The three engines are equally efficient if:

A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volume for this process is $T{V}^x=$ constant, then $x$ is: