One mole of air at $27$ C and $500$ kPa in a $100$ kPa atmosphere expands to $100$ kPa by free expansion in a piston cylinder device. After the expansion, the air in the device reaches an equilibrium temperature by transferring hear from the surrounding air, which has a temperature of $27$ C$.$

i$.$ What is S$\_$gen?

m$.$ As an alternative way to find S$\_$gen, write down the integrated closed$-$system entropy balance and use the numbers you calculated above for Delta S$\_$sys and Q$\_$sys to calculate S$\_$gen.

n$.$ You also might consider an alternative approach to compute Q$\_$sys$.$ Treat the surroundings as a system of its own and perform an energy balance on the surroundings. It will also show Q$\_$sys$=-$W$\_$sys where work is computed using constant P expression.

My calculations

Delta S$\_$sys $=13\mathrm{.}38$ J$/$K

Delta S$\_$sur $=-6\mathrm{.}65$ J$/$K

W$\_$sur $=1995$ J$,$ Q$\_$sur$=-1995$ J

W$\_$sys $=4014$ J$,$ Q$\_$sys $=-4014$ J

Delta S$\_$Total $=6\mathrm{.}73$ J$/$K

For i$.$ Provide the chemical engineering definition of S$\_$gen.

For m$.$ Calculate S$\_$gen using the provided calculations, these correctly calculated.

For n$.$ Utilize a different approach on computing Q$\_$sys$.$