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

One mole of an ideal monatomic gas is taken from $\mathrm{A}$ to $C$ along the path $ABC.$ The temperature of the gas at $A$ is $T_0.$ For the process $ABC$

The specific heats of a gas are $C_p=0.2 \mathrm{cal}/\mathrm{g} °\mathrm{C} \text{\&} C_v=0.15 \mathrm{cal}/\mathrm{g} {}^{\circ }\mathrm{C}$. (Take $R=2 \mathrm{cal}/\mathrm{mole}{ }^0\mathrm{C}$)

One mole of monoatomic ideal gas undergoes a cyclic process $\mathrm{ACBA}$ as shown in figure. Process $\mathrm{AC}$ is adiabatic. The temperatures at $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are $300 \mathrm{K}, 600 \mathrm{K}$ and $450 \mathrm{K}$ respectively:-

A gas expands such that its initial and final temperatures are equal. Also, the process followed by the gas traces a straight line on the $P-V$ diagram :-

A gas takes part in two processes in which it is heated from the same initial state $1$ to the same final temperature. The processes are shown on the $P-V$ diagram by the straight line $1-2$ and $1-3.2$ and $3$ are the, points on the same isothermal curve. $Q_1$ and $Q_2$ are the heat transfer along the two processes. Then :-

Three identical adiabatic containers have helium, neon and oxygen gases at the same pressure. The gases are compressed to half their original volume. Then:-

Suppose $0.5$ mole of an ideal gas undergoes an isothermal expansion as energy is added to it as heat $Q$. Graph shows the final volume $V_f$ versus $Q$. The temperature of the gas is :- (use $ln9=2$ and $R=\frac{25}{3} \mathrm{J}/\mathrm{mol}-\mathrm{K}$ )

A sample of gas follows process represented by $P{V}^2=$ constant. Bulk modulus for this process is $B$, then which of the following graph is correct?