$2\mathrm{.}27$ A piston$-$cylinder assembly contains $3kg$ of steam at a pressure of $\frac{100}{b}ar$ and a temperature of $400C.$ It undergoes a process whereby it expands against a constant pressure of $\frac{20}{b}ar,$ until the forces balance. During the process, the piston generates $748,740[$J$]$ of work. Water is not an ideal gas under these conditions. Determine the final temperature in $K$ and the heat transferred $($in $[$J$])$ during the process.