For a general thermodynamic system, express the derivative (∂T/∂P)E¯ in terms of P, T, V¯ , their mutual derivatives (e. g. (∂T/∂P)V¯ ) and the heat capacities CP or CV as needed; no E¯, S¯ or H¯ should appear in the derivatives. Obtain the value of this derivative for an ideal gas.

answer: 5

explanation:

6-1

A Carnot heat engine receives heat from a reservoir at 900$^\circ{}$C at a rate of 800 kJ/min and rejects the waste heat to the ambient air at 27$^\circ{}$C. The entire work output of the heat engine is used to drive a refrigerator that removes heat from the refrigerated space at -5$^\circ{}$C and transfers it to the same ambient air at 27$^\circ{}$C. Determine (a) the maximum rate of heat removal from the refrigerated space and (b) the total rate of heat rejection to the ambient air. Answers: (a) 4982 kJ/min, (b) 5782 kJ/min