Consider a long steel pipe that carries hot steam at T0. The inner radius of pipe is R0, and the outer radius is R1. 1. (20\%) The pipe is immersed in a cool water at T1. Since the fluids are assumed well-mixed, the inner and outer surfaces of the pipe can be assumed to be the same as that of the two contacted fluids (T0 and T1, respectively). Use a shell balance to derive an expression for the temperature distribution T(r) across the pipe wall (R0rR1)