Draw the $\mathrm{P}-\mathrm{T}$  and $\mathrm{V}-\mathrm{T}$ diagrams for an isobaric process of expansion, corresponding to $\mathrm{n}$ moles of an ideal gas at a pressure ${\mathrm{P}}_0$, from ${\mathrm{V}}_0$ to $2{\mathrm{V}}_0$.

In given $\mathrm{P}-\mathrm{V}$ diagram, the temperature at $\mathrm{A}$ is ${\mathrm{T}}_0$. Find the temperature at point $\mathrm{B}$ and $\mathrm{C}$. Also draw $\mathrm{P}-\mathrm{T}$ and $\mathrm{V}-\mathrm{T}$ diagrams for given process.

Two identical vessels contain the same gas at pressures ${\mathrm{P}}_1$ and ${\mathrm{P}}_2$ at absolute temperatures ${\mathrm{T}}_1$ and ${\mathrm{T}}_2$, respectively. On joining the vessels with a small tube as shown in the figure, the gas reaches a common temperature $\mathrm{T}$ and a common pressure $\mathrm{P}$. Determine the ratio $\mathrm{P}/\mathrm{T}$.

Aflask of volume $2$ litres, provided with a stopcock contains oxygen at $300 \mathrm{K}$ and atmospheric pressure. The system is heated to a temperature of $400 \mathrm{K}$, with the stopcock open to the atmosphere. The stopcock is then closed and the flask is then cooled to its original temperature.

(a) What is the final pressure of oxygen in the flask?

(b) How many grams of oxygen remains in the flask?

A gas has been subjected to isochoric-isobaric processes $1-2-3-4-1$ (see figure). Plot this process on $\mathrm{T}-\mathrm{V}$ and $\mathrm{P}-\mathrm{T}$ diagrams.

A gas has been subjected to an isothermal-isochoric cycle $1-2-3-4-1$ (see figure). Represent the same cycle on $\mathrm{P}-\mathrm{V}$ and $\mathrm{P}-\mathrm{T}$ diagrams.