Question

An engine operates on a Carnot cycle that uses 1mole of an ideal gas as the working substance and operates from a most compressed stage of 100 Nm-2 and 327 K. It expands isothermally to a pressure of 90 Nm-2 and then adiabatically to a most expanded stage of 27 K. Calculate the ΔU, q, and w for each step. Calculate the net work done and the efficiency of the cycle [Cv,m for the gas] is 25 J/k/mol.
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Answer 1

Explanation:

A)An engine operates on a Carnot cycle that uses 1mole of an ideal gas as the working substance and operates from a most compressed stage of 100 Nm-2 and 327 K. It expands isothermally to a pressure of 90 Nm-2 and then adiabatically to a most expanded stage of 27 K. Calculate the ΔU, q, and w for each step. Calculate the net work done and the efficiency of the cycle [Cv,m for the gas] is 25 J/k/mol.

B) Calculate the entropy changes for the following processes:

a.Melting of one mole of tin at its melting point, 213 ᵒC; ΔHfus = 7.029 kJ/mol

b. Evaporation of one mole of liquid carbon dioxide at its boiling point, 216.6 K. ΔHvap = 15.326 kJ/mol

C)Entropy is the tax we pay for borrowing Nature's power.Discuss this topic briefly