Q$4)(12$ marks$)$

A piston cylinder has $0\mathrm{.}1$ kg mixture of $25\%$ argon, $25\%$ nitrogen and $50\%$ carbon dioxide by mass at total pressure $100$ kPa and $300$ K $.$ Now the piston compresses the gases to a volume $7$ times smaller in a polytropic process with $n=1\mathrm{.}3.$ Find, the work, and the heat transfer for the process. Determine $($a$)$ the final pressure and temperature $($b$)$ the heat transfer and the work done during this process in kJ $($c$)$ the Entropy change during the process. $($Use constant specific heats$).$