A reversible power cycle receives energy Q_h from a reservoir at temperature T_h and rejects Q_c to a reservoir at temperature T_c. The work developed by the power cycle is used to drive a reversible heat pump that removes energy Qc from a reservoir at temperature Tc'and rejects energy O_h to a reservoir at temperature T_h.

Develop an expression for the ratio Q_H/ Q_h in terms of the temperatures of the four reservoirs.

 

y = C/C 1.4 Gas Molar mass- M-, kg/k mol Air 28.97 1.4 32 Butane (CH1o) en 58 1.1 Nitrogen (N2) 28 1.4 Methane (CH,) 16 1.32 Universal gas constant = 8.314 kJ / kmol. K 1 bar = 100 kPa %3! where t in C For liquid water h = 4.18 *t, kJ/kg Water density 1000 kg/m