$\backslash (9-3\backslash )$

A piston$-$cylinder device initially contains $2$ L of air at $100$ kPa and $\backslash (25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ Air is now compressed to a final state of $600$ kPa and $\backslash (150^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ The useful work input is $1\mathrm{.}2$ kJ $.$ Assuming the surroundings are at $100$ kPa and $\backslash (25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ determine $($a$)$ the heat transferred $($and direction$)$ during this compression process, and $($b$)$ the entropy generation of this process. Hint: The atmosphere itself is pushing on the cylinder as it changes volume. That is work not accounted for by the useful work input. Ans: $($a$)-1\mathrm{.}14$ kJ $,($b$)\backslash (0\mathrm{.}00345\backslash$mathrm$\{$~kJ$\}/\backslash$mathrm$\{$K$\}\backslash )$