Isothermal Compression of an Ideal Gas in a Frictionless PCD

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 Cp*=(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.
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