A rigid tank $($i$.$e$.,$ fixed boundary$)$ is initially filled with R$-134$a at $160$ kPa with a quality of $0\mathrm{.}4.$

Upon addition of heat, the pressure in the tank rises to $700$ kPa $.$

a$.$ Determine the state of the R$-134$a after the heat addition and show the process on a P$-$U

diagram.

b$.$ Calculate the mass of R$-134$a in the tank in kg$.$

c$.$ Calculate the amount of heat added to the tank, in kJ$.$