Figure $2$ shows a piston$-$cylinder$-$spring$-$stopper configuration.

The system initially contains $0\mathrm{.}02$ m $3$ R $134$ a refrigerant at the

pressure of $320$ kPa with $60\%$ quality. The cross$-$sectional area of

the piston is $0\mathrm{.}2m^2,$ and a spring is attached to the piston with the

spring constant of $120k\frac{N}{m}.$ The system is now brought in thermal

contact with a heat source of $Q$ and the piston moves up and

compresses the spring and finally pushes the stoppers, where the

final pressure is $500$ kPa $.$ The volume of final state is $0\mathrm{.}03m^3.$

$($a$)$ Calculate the mass of R$134$a refrigerant and the volumes of liquid

phase and gaseous phase separately at initial state.

$($b$)$ Calculate the pressure when the piston touches the stopper $($i$.$e$.$

at intermediate pressure$).$ Define the nature of R$134$a fluid during

intermediate state.

$($c$)$ Calculate the intermediate and final temperatures.

$($d$)$ Draw P$-$v diagram and show how the system changes

from initial state to final state. Define the location of every state properly.

$[$Answers: $($a$)0\mathrm{.}52kg,0\mathrm{.}000162m^3,0\mathrm{.}01984m^3$

$($b$)350$ kPa $,$ Loquid$-$vapour mixture, $($c$)4\mathrm{.}98C$ and $98\mathrm{.}1C$

$($d$)$ Please consult with your lecturer$/$tutor$]$