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A pump is used to circulate hot water in a home heating system. Water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. The inlet pressure and temperature are 14.7 lbf/in² and 180°F, respectively. At the exit, the pressure is 120 lbf/in². The pump requires 125 hp of power input. Water can be modeled as an incompressible substance with a constant density of 60.58 lb/ft³ and a constant specific heat of 1 BTU/lb·°R. Neglecting kinetic and potential energy effects, determine the temperature change, in °R, as the water flows through the pump.
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