A3-mm-diameter electrical wire is insulated by a 2-mm-thick rubberized sheath (k = 0.13 w/m·k), and the wire/sheath interface is characterized by a thermal contact resistance of r, e=3x1 convection heat transfer coefficient at the outer surface of the sheath is 15 w/m2 . k, and the temperature of the ambient air is 20°c. if the temperature of the insula- 0-4m2. k/w. the tion may not exceed 50'c, what is the maxtimun allow- able electrical power that may be dissipated per unit length of the conductor? what is the critical radius of the insulation?

Apump 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/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.

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Air is compressed isentropically from an initial state of 300 k and 101 kpa to a final temperature of 1000 k. determine the final pressure using the following approaches: (a) approximate analysis (using properties at the average temperature) (b) exact analysis