$(3$ points$)$

A spring$-$loaded piston$-$cylinder device contains $0\mathrm{.}38$ kg of water initially at $90C$ and with an initial quality of $5\mathrm{.}4\%.$ 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 $250C.$

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 $0\mathrm{.}09m^2,$ what is the spring constant of the spring in this device?

$\frac{kN}{m}$