A piston$-$cylinder device contains $1\mathrm{.}5$ kg of gas, which undergoes a quasiequilibrium process in whichpV $1\mathrm{.}4=$ constant. At the initial state, p$1=1$ bar, u$1=130$ kJ$/$kg$.$ At the final state, p$2=10$ bar,v$2=0\mathrm{.}1$ m$3,$ u$2=270$ kJ$/$kg$.$ Neglect kinetic and potential energy effects. Include a p $-$V diagram. Determine:a$.$ Work $[$kJ$]$ during the process $($magnitude and direction$)$b$.$ Heat transfer $[$kJ$]$ during the process $($magnitude and direction$)$