A piston$-$cylinder assembly fitted with a slowly rotating paddle wheel contains $0\mathrm{.}17$ kg of air, initially at $300$ K $.$ The air undergoes a constant$-$pressure process to a final temperature of $460$ K $.$ During the process, energy is gradually transferred to the air by heat transfer in the amount $12$ kJ $.$

Assuming the ideal gas model with $\backslash ($ k$=1\mathrm{.}4\backslash )$ and negligible changes in kinetic and potential energy for the air, determine the work done by the paddle wheel on the air and by the air to displace the piston, each in kJ $.$