Steam $($m $=2\mathrm{.}5$ kg$)$ contained in a closed piston$-$cylinder device is compressed at constant pressure from an

absolute pressure of $7$ bar, a volume of $1\mathrm{.}268$ m$3,$ and specific internal energy of $3127\mathrm{.}4$ kJ$/$kg $($State $1)$ to a

volume of $0\mathrm{.}5$ m $3$ and specific internal energy of $2069\mathrm{.}2$ kJ$/$kg $($State $2).$

$($a$)$ Determine the work during the process, in kJ$.$

$($b$)$ Calculate the heat transfer during the process, in kJ