\( \text { Applying ; }\left(n_{\mid}+n_{||}\right) \text {initial }=\left(n_{\mid}+n_{\|}\right)_{\text {final }} \)
\( \Rightarrow \text { Assuming the system attains a final temperature of } T \text { (such that } 300< T <60) \)
\( \Rightarrow\left(\begin{array}{c}\text { Heat lost by } \\ N _2 \text { of container } \\ \text { I }\end{array}\right)=\left(\begin{array}{c}\text { Heat gained by } \\ N _2 \text { of container } \\ \text { II }\end{array}\right) \\ \)
\( \Rightarrow n _1 C _{ m }(300- T )= n _{ n } C _{ m }( T -60) \)
\( \Rightarrow\left(\frac{2.8}{28}\right)(300- T )=\frac{0.2}{28}( T -60) \\ \)
\( \Rightarrow 14(300- T )= T -60 \)
\( \Rightarrow \frac{(14 \times 300+60)}{15}= T \)
\( \Rightarrow T =284 K \text { (final temperature) } \)
\( \Rightarrow \text { If the final pressure }= P \)
\( \Rightarrow\left( n _1+ n _{\text {II }}\right)_{\text {final }}=\left(\frac{3.0}{28}\right) \\ \)
\( \Rightarrow \frac{ P }{ RT }\left( V _{ I }+ V _{ II }\right)=\frac{3.0 gm }{28 gm / mol } \)
\( P =\left(\frac{3}{28} mol \right) \times 8.31 \frac{ J }{ mol - K } \times \frac{284 K }{3 \times 10^{-3} m ^3} \times 10^{-5} \frac{ bar }{ Pa } \)
\( \Rightarrow 0.84287 bar \)
\( \Rightarrow 84.28 \times 10^{-2} bar = 84\)