(Solved): 2.41 A gas contained within a piston-cylinder assembly undergoes two processes, \( \mathrm{A} \) a ...

2.41 A gas contained within a piston-cylinder assembly undergoes two processes, \( \mathrm{A} \) and \( \mathrm{B} \), between the same end states, 1 and 2 , where \( p_{1}=10 \) bar, \( V_{1}=0.1 \mathrm{~m}^{3}, U_{1}=400 \mathrm{~kJ} \) and \( p_{2}=1 \mathrm{bar}, V_{2}=1.0 \mathrm{~m}^{3}, U_{2}=200 \mathrm{~kJ} \) : Process A: Process from 1 to 2 during which the pressurevolume relation is \( p V= \) constant. Process B: Constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to state \( 2 . \) Kinetic and potential energy effects can be ignored. For each of the processes \( \mathrm{A} \) and \( \mathrm{B} \), (a) sketch the process on \( p-V \) coordinates, (b) evaluate the work, in kJ, and (c) evaluate the heat transfer, in \( \mathrm{kJ} \).