CHEM 3413 - Problem Set #5
Thermodynamic cycles of an ideal gas: The Carnot cycle in reverse can be used as a heat pump. For 0.25 moles of an ideal gas, this can be defined by the following processes:
Process Vi Vf Ti Tf
A Reversible isothermal contraction 4.5 L 3.0 L 300 K 300 K
B Reversible adiabatic expansion 3.0 L 2 L 300 K 200 K
C Reversible isothermal expansion 2 L 3 L 200 K 200 K
D Reversible adiabatic contraction 3 L 4.5 L 200 K 300 K
Determine V and V above (b) Plot this process on a PV diagram. (c) Draw a heat engine diagram for this process. Use nomenclature like q, qB, etc. to denote how the terms in the heat engine diagram correspond to the above 4 processes. (d) Calculate S, q, w, H, and U for each step in this process. (e) What is the coefficient of performance of this heat pump?