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A long circular copper pipe (thermal diffusivity 111 mm2/s) with inner radius 1 cm and outer...

A long circular copper pipe (thermal diffusivity 111 mm2/s) with inner radius 1 cm and outer radius 1.2 cm is placed in an ice bath (0◦C) for a very long time. Then, at time t = 0, boiling water (100◦C) beings to flow through the pipe. Find the temperature of the pipe as a function of the radius r and the time t. Note any assumptions that you make.

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