Determine the temperature of the water discharged from the pump.

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 η. 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 = 25°C, P1 = 100 kPa, m

∙

= 20 kg⋅s−1, P2 = 2000 kPa, η = 0.75,

β = 257.2 × 10−6 K−1.

(b) T1 = 90°C, P1 = 200 kPa, m

∙

= 30 kg⋅s−1, P2 = 5000 kPa, η = 0.70,

β = 696.2 × 10−6 K−1.

(c) T1 = 60°C, P1 = 20 kPa, m

∙

= 15 kg⋅s−1, P2 = 5000 kPa, η = 0.75,

β = 523.1 × 10−6 K−1.

(d) T1 = 70(°F), P1 = 1(atm), m

∙

= 50(lbm)(s)−1, P2 = 20(atm), η = 0.70,

β = 217.3 × 10−6 K−1.

(e) T1 = 200(°F), P1 = 15(psia), m

∙

= 80(lbm)(s)−1, P2 = 1500(psia), η = 0.75,

β = 714.3 × 10−6 K−1.