QUESTION $3$

A piston$-$cylinder device initially contains $1\mathrm{.}0m^3$ of saturated water vapor at $200$ kPa $.$ At this state, the piston is resting on a set of stops. Heat is now slowly transferred to the water and the piston starts rising at $300$ kPa $.$ Heating continues until temperature reaches $664C.$ Determine the total heat transfer. Write your answer in kJ with $2$ decimal figures.