A pump operates adiabatically with liquid water entering at T1 and P1 with a mass flow rate m. The discharge pressure is P2 and the pump efficiency is ή. For one of the following sets of operating conditions, determine the power requirement of the pump and the temperature of the water discharged from the pump.
(a) T1 = 25oC, P1 = 100 kPa. m = 20 kg s-1, P2 = 2.000 kPa, ή = 0.75. β = 257.2 x 10-6 K-1.
(b) T1 = 90oC P1 = 200 kPa. m = 30 kg s-1, P2 = 5.000 kPa. ή = 0.70, β = 696.2 x I0-6 K-1.
(c) T1 = 60oC. P1 = 20 kPa. m = 15 kg s-1, = 5,000 kPa. ή = 0.75, β = 523.1 x I0-6 K-1 '.
(d) T1 = 70(oF). P1 = (atm). m - 50(lbm (s)-1. P2 = 20(atm). ή = 0,70. β = 217.3 x 10-6 K-1.
(e) T1 = 200oCF), P1 = 15(psia). m = 80(lbrn)(s)-1, P2 = 1500(psia), ή = 0.75.
β =714.3 x I0-6 K-1.