$4\mathrm{.}35$ Steam contained in a cylinder fitted with a frictionless piston as$-$

sembly is to be used for raising a weight by heat transfer as shown in the

figure below. The pressure exerted by the surrounding atmosphere and the

piston weight is $1\mathrm{.}4$MPa. Initially the steam is at $200C$ and its volume

is $0\mathrm{.}02m^3.$ Heat is transferred until the steam temperature reaches $287C.$

Calculate the amount of heat transferred and the work done by the steam.

$($Answer: $Q=29\mathrm{.}1kJ,W=-6\mathrm{.}77kJ)$