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Dry ambient air enters an insulated pipe at 25C, 100 kPa with a volumetric flow rate of 23 m/h. The pipe is wrapped with
Dry ambient air enters an insulated pipe at 25C, 100 kPa with a volumetric flow rate of 23 m/h. The pipe is wrapped with heating tape OMEGA STH101-040 that supplies a uniform heat flux into the pipe and is perfectly insulated on the outside so that no heat from the heating tape is transported to the surroundings. During the operation in an installation with a voltage of 120 V, the heating element draws a current of 4 amps. Your main interest is in determining the exit temperature of the air. Please answer the following. a. Create a schematic representation of the system. Clearly show the boundary and all the quantities crossing it. b. Assume that dry air behaves as ideal gas, determine the mass flow rate of air, in m/h. C. Apply an energy balance to create a governing equation that will allow you to compute the exit temperature of the air, and use it to compute the exit temperature of the air assuming an average specific heat Cp that corresponds to 320 K. Report your answer in C. d. Next, use the governing equation in part (c) but do not use the average specific heat to determine the value of the temperature of the air. Was the assumption of an average specific heat temperature reasonable?
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