A cyclic process $1-2-3-4-1$ is depicted on $V-T$ diagram. The $p-T$ and $p-V$ diagrams for this cyclic process are given below. Select the correct choices (more than one options is/are correct)

One mole of a monatomic ideal gas is taken along the cycle $\mathrm{ABCA}$ as shown in the diagram.

The ratio of specific heat in the process $CA$ to the specific heat in the process $BC$ is

One mole of a monoatomic ideal gas is taken through the cycle $ABCDA$ as shown in the figure.

$T_A=1000 \mathrm{K} \text{and} \mathit{2}{p}_A\mathit{=}\mathit{3}{p}_B\mathit{=}\mathit{6}{p}_C$

The temperature at $B$ is

$\left[\text{Assume }{\left(\frac{2}{3}\right)}^{0.4}=0.85 \text{and }R=\frac{25}{3}\mathrm{J} {\mathrm{K}}^{-1} {\mathrm{mol}}^{-1}\right]$

One mole of a monoatomic ideal gas is taken through the cycle $ABCDA$ as shown in the figure.

$T_A=1000 \mathrm{K} \text{and} \mathit{2}{p}_A\mathit{=}\mathit{3}{p}_B\mathit{=}\mathit{6}{p}_C$

Work done by gas in the process $A\to B$ is

$\left[\text{Assume }{\left(\frac{2}{3}\right)}^{0.4}=0.85 \text{and }R=\frac{25}{3}\mathrm{J} {\mathrm{K}}^{-1} {\mathrm{mol}}^{-1}\right]$

One mole of a monoatomic ideal gas is taken through the cycle $ABCDA$ as shown in the figure.

$T_A=1000 \mathrm{K} \text{and} \mathit{2}{p}_A\mathit{=}\mathit{3}{p}_B\mathit{=}\mathit{6}{p}_C$

Heat lost by the gas in the process $B\to C$ is

$\left[\text{Assume }{\left(\frac{2}{3}\right)}^{0.4}=0.85 \text{and }R=\frac{25}{3}\mathrm{J} {\mathrm{K}}^{-1} {\mathrm{mol}}^{-1}\right]$

Two moles of helium gas undergoes a cyclic process as shown in the figure. Assuming the gas to be ideal, calculate the following quantities in this process,
$\left(\mathrm{a}\right)$ The net change in heat energy.
$\left(\mathrm{b}\right)$ The net work done.
$\left(\mathrm{c}\right)$ The net change in internal energy.

$1.0 \mathrm{K} \mathrm{mol}$ of a sample of helium gas is put through the cycle of operations shown in the figure. $BC$ is an isothermal process and $P_{\mathrm{A}}=1.00 \mathrm{atm}$, $V_{\mathrm{A}}=22.4 {\mathrm{m}}^3$, $P_{\mathrm{B}}=2.00 \mathrm{atm}$. What are $T_{\mathrm{A}}$, $T_{\mathrm{B}}$ and $V_{\mathrm{C}}$?

The density $\left(p\right)$ versus pressure $\left(p\right)$ graph of one mole of an ideal monoatomic gas undergoing a cyclic process is shown in the figure. The molecular mass of gas is $M$.

$\left(\mathrm{a}\right)$ Find work done in each process.
$\left(\mathrm{b}\right)$ Find heat rejected by gas in one complete cycle.
$\left(\mathrm{c}\right)$ Find the efficiency of the cycle.

An ideal gas goes through the cycle $abc$. For the complete cycle $800 \mathrm{J}$ of heat flows out of the gas. The process $ab$ is at constant pressure and the process $bc$ is at constant volume. In the process $c-a$, $P\propto V$. States $a$ and $b$ have temperatures $T_{\mathrm{a}}=200 \mathrm{K}$ and $T_{\mathrm{b}}=300 \mathrm{K}$.

$\left(\mathrm{a}\right)$ Sketch the $P-V$ diagram for the cycle. $\left(\mathrm{b}\right)$ What is the work done by the gas for the process $ca$?