$\backslash (10-3\backslash )$

A cylinder with $8\mathrm{.}00$ kg of R$-134$a has a volume of $\backslash (0\mathrm{.}3\backslash$mathrm$\{$~m$\}^\{3\}\backslash )$ at $160$ kPa $.$ Heat is transferred from the surroundings at $1300$ K into the cylinder until the pressure reaches exactly $600$ kPa $,$ at which time the piston lifts from its stops. The final state is the instant when $\backslash (\backslash$mathrm$\{$P$\}=600\backslash$mathrm$\{$kPa$\}\backslash ),$ but the piston has not yet lifted. This process is not reversible. Assume the kinetic and potential energy changes are negligible, the thermal energy stored in the cylinder itself is negligible. For this process, determine

$($a$)$ final temperature of the air $($State $2)$

$($b$)$ total heat transferred into the cylinder $($ kJ $)$

$($c$)$ entropy change of just the $\backslash ($ R $\backslash )-134$a in the cylinder for this process $(\backslash (\backslash$mathbf$\{$k J$\}/\backslash$mathrm$\{$K$\}\backslash ))$

$($d$)$ Exergy lost by this entire process assuming surroundings are at $1300$ K $($kJ$/$K$)$ Ans from EES: $($a$)311\mathrm{.}2$ K $,($b$)1345$ kJ $,($c$)\backslash (4\mathrm{.}835\backslash$mathrm$\{$~kJ$\}/\backslash$mathrm$\{$K$\}\backslash ),($d$)4941$ kJ