A piston$-$cylinder arrangement holds a gas mixture of $20$ mol$\%$ chloroform $(1)$ and $80\%$ nitrogen $(2)$ at $340$ K and $1\mathrm{.}013$ bar. The system is cooled under constant pressure. Estimate the temperature at which condensation of chloroform takes place, i$.$e$.$ when the first liquid droplet of chloroform appears. The solubility of nitrogen in liquid chloroform can be assumed negligible.

State clearly all the assumptions made and make any relevant comments on the results obtained.