In one stroke of a reciprocating compressor, helium is isothermally and reversibly
compressed in a piston/cylinder from 298 k and 15 bar to 150 bar. compute the heat
removal and work required.

Explanation:

It is known that in reversible isothermal compression, relation between work and pressure is as follows.

                     w = -2.303 RT log

                         =

                          =

                          = -5705.85 J /mol

According to first law of thermodynamics, q = -w

Hence,                            q = -(-5705.85 J /mol)

                                            = 5705.85 J /mol

As 1000 J = 1 kJ. Hence, convert 5705.85 J/mol into kJ/mol as follows.

                           = 5.7058 kJ/mol

Thus, we can conclude that heat  removal is 5.7058 kJ/mol and work required is -5705.85 J /mol.

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