PROBLEM $1(9$ points$)$

A piston$-$cylinder device is initially filled with $0\mathrm{.}1$ kg R$-134$a with a volume of $4\mathrm{.}7$ L $.$ The piston's mass is $80$ kg and its diameter is $10$ cm $.$ The piston is free to move without any frictional losses. Heat is now supplied slowly to the piston$-$cylinder until the temperature reaches $95C.$ The local atmospheric pressure is $100$ kPa $.$

$($a$)$ Show the initial and final states and the process path on the T$-$v diagram

$($b$)$ Determine the initial pressure and temperature

$($c$)$ Determine the total volume change during this process

$($d$)$ Determine the total enthalpy change during this process