Consider the system shown in Fig. $1($a$).$ The two chambers initially have

equal volumes of $28$ litres and contain air and

$\{$:$C_v=0\mathrm{.}717\frac{kJ}{k}g-K)$ and hydrogen and

$\{$:$C_v=10*17\frac{kJ}{k}g-K),$ respectively. The chambers are separated by a friction$-$

less piston which is non$-$heat$-$conducting. Both the gases are initially at

$140$ kPa and $40C.$ Heat is added to the air side until the pressure of both the

gases reaches $280$ kPa $.$ All outside walls of the chambers are insulated except

for the surface where heat is added to air. Calculate the final temperature of

the air.