A spring$-$loaded piston$-$cylinder device contains $0\mathrm{.}13$ kg of water initially at $90$

C and with an initial quality of $15\mathrm{.}5\%.$ At its initial state, the spring is relaxed and does not exert any force on the piston. The device is now heated until the pressure is $400$ kPa and the new temperature is $250$

C$.$

What is the boundary work done by the water during this process?

kJ

What is the total amount of heat transfer into the system?

kJ

If the device has a cross$-$sectional area of $0\mathrm{.}13$ m$2$

$,$ what is the spring constant of the spring in this device?

kNm