•  $\mathrm{}$ A piston$-$cylinder device with a volume of $0\mathrm{.}50m3$ contain water at $320$kPa $($State $1).$ Initially, $25\%$ of the mass is liquid and the $75\%$ of the mass is vapor. Heat is added to the system until the piston is just touching the stopper $($State $2).$ At this state, all the water exists $100\%$ as vapor. Heating is continued until the pressure inside the piston reaches $500$kPa $($State $3).$ 

•  a$.$ What is the mass of water inside the piston? 

•  b$.$ Determine the boundary work from State $1$ to State $3($in kJ$).$ 

•  c$.$ Determine the amount of heat from State $1$ to State $3($in kJ$).$ 

•  d$.$ What is the final state and temperature of the water?