Isothermal Compression of an Ideal Gas in a Frictionless PCD

Nah346

A frictionless piston-cylinder compresses 1 mol of nitrogen to a tenth of its original volume isothermally at 300 K. Assume nitrogen is an ideal gas with Cp*=(7/2)R.

(a) Show two different approaches to calculate the compression work required.
(b) What is the corresponding heat flow?
(c) If the piston-cylinder now experiences significant friction, how will the heat and work flows be different in order to accomplish the same thermodynamic change?
(d) Can the two different approaches in (a) be used to calculate the compression work for a piston cylinder with significant friction? Explain.