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

A monoatomic ideal gas, initially at temperature $T_1$, is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature $T_2$ by releasing the piston suddenly. If $L_1$ and $L_2$ are the lengths of gas column before and after expansion, respectively, then $\frac{T_1}{T_2}$ is given by

An ideal gas undergoes a cyclic process as shown in the given $P-T$ diagram, where the process $AC$ is adiabatic. The process is also represented by

If a diatomic gas is supplied heat $Q$ in a process, it performs work $\frac{Q}{4}.$ What is molar heat capacity of the gas in this process.

Two samples of air $A$ and $B$ having same composition and initially at same temperature $T$, pressure $P$ and volume $V$ are taken. $A$ and $B$ are made to undergo the following process:

Case $1: A$ and $B$ are compressed from volume $V$ to volume $\frac{V}{2}\text{.} A$ is compressed isothermally while $B$ is compressed adiabatically. The final pressure are $P_{\mathrm{AC}}$ and $P_{\mathrm{BC}}$, respectively.

Case: $2A$ and $B$ are allowed to undergo expansion from volume $V$ to volume $2V$. $A$ undergoes isothermal expansion while $B$ undergoes adiabatic expansion. The final pressures of $A$ and $B$ are $P_{\mathrm{AE}}$ and $P_{\mathrm{BE}}$, respectively.

Which of the following processes is reversible 

How much Uranium is required per day in a nuclear reactor of power capacity of $1 \mathrm{MW}$.