Areversible cycle executed by 1 mol of an ideal gas for which cp=(5/2)r and cv=(3/2)r consists of the following steps operated in a piston and cylinder arrangement:
a) starting at 600 k and 2 bar, the gas is cooled at constant pressure to 300 k.
b) from 300 k and 2 bar, the gas is compressed isothermally to 4 bar.
c) the gas returns to its initial state along a path for which the product pt is constant.
draw the cycle with each step clearly labeled on both a p-t diagram and a p-v diagram. calculate q, w, and δu for each step of the cycle.

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answer : (a) volume of the gas = 8.67 ×   l

                (b) second virial coefficient b = -1.21226 l/mole

solution :   given,     t = 300k

                                p = 20atm

                                z = 0.86

                                n = 8.2 mmoles = 8.2 × moles

                                r =   0.082 l atm/k/mol

        find,     (a) volume of gas   and (b) second virial coefficient b at 300k.

formula used :            

                          and            

(a)            

                    = \times 0.082\times 300}{20}[/tex]

                    = 8.67 ×   l

(b)      

                    = (0.00867-1) × 8.659

                    = - 8.5839 l/mole

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