A cylindrical pipe has inner radius R1 and outerradius R2.

Chapter 19, Problem 19.67

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A cylindrical pipe has inner radius R1 and outerradius R2. The interior of the pipe carries hot water attemperature 7 \. The temperature outside is T2 (< Tj).(a) Show that the rate of heat loss for a length L of pipe isdQ _ 2ir k fc - T2)Ldt ~ \n(R2/Ri)where k is the thermal conductivity of the pipe, (b) Supposethe pipe is steel with R\ = 3.3 cm, R2 = 4.0 cm, andT2 = 18C. If the pipe holds still water at Tx = 71 C, whatwill be the initial rate of change of its temperature?(c) Suppose water at 71 C enters the pipe and moves at aspeed of 8.0 cm/s. What will be its temperature drop percentimeter of travel?

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