a) Calculate delta S(system) for the reversible heating of 1 mol of ethane from 298K to 1500 K at constant pressure. Use Cp = 5.351 + 177.669x10-3 T – 687.01x10-7 T ^2 + 8.514x10-9 T ^3 (J/mol K). Consider the reversible Carnot cycle discussed in class with 1 mol of an ideal gas with Cv=3/2R as the working substance. The initial isothermal expansion occurs at the hot reservoir temperature of Thot=600C from an initial volume of 3.50 L to a volume 10.0 L. The system then undergoes an adiabatic expansion until the temperature falls to Tcold=150 C. The system then undergoes an isothermal compression until the initial state Thot = 600C and V = 3.5L is reached.
b)Calculate the work, q, U and H for each step in the cycle and for the total cycle.
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