Water is heated in an insulated, constant-diameter tube by

Chapter 5, Problem 107P

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QUESTION:

Problem 107P

Water is heated in an insulated, constant-diameter tube by a 7-kW electric resistance heater. If the water enters the heater steadily at 20°C and leaves at 75°C, determine the mass flow rate of water.

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QUESTION:

Problem 107P

Water is heated in an insulated, constant-diameter tube by a 7-kW electric resistance heater. If the water enters the heater steadily at 20°C and leaves at 75°C, determine the mass flow rate of water.

ANSWER:

Step by step solution Step 1 of 2Take the water pipe as the steady-state system that acts as a control system; write theenergy balance for the system as follows:Here, rate of net energy transfer into the control volume is ,rate of net energytransfer exit from the control volume is and rate of change in internal energy ofsystem is .At steady state, rate of change in internal energy of the system is zero.Substitute 0 for , and rewrite the energy balance as follows:Here initial and final enthalpy of water at state 1 and 2 is and respectively,massflow rate of water is , specific heat constant of water at room temperature is,power absorbed by the resistance heater is initial temperature of water at inlet is and final temperature of water at exit is .\n

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