Two flasks of equal volume are connected by a narrow tube (of negligible volume) all at $27 °\mathrm{C}$ and contain $0.70$ moles of ${\mathrm{H}}_2$ at $0.5 \mathrm{atm}$. One of the flasks is then immersed into a bath kept at $127 °\mathrm{C}$, while the other remains at $27 °\mathrm{C}$. The number of moles of ${\mathrm{H}}_2$ in flask $1$ and flask $2$ are:

At low pressures (For $1$ mole), the Van der Waal's equation is written as

$\left[\mathrm{p}+\frac{\mathrm{a}}{{\mathrm{V}}^2}\right]\mathrm{V}=\mathrm{RT}$.

The compressibility factor is then equal to:

A gas can be condensed to liquid through the paths $\mathrm{I}, \mathrm{II}$ and $\mathrm{III}$, as shown in the figure. The path(s) through which the gas does not change to liquid abruptly is (are)