1. In a pipe of length L=10 ft, inner radius 1-3 in, outer radius 2-3.5 in, and thermal conductivity k=-10 Btu/h ft F steam flows at an average temperature of 300 F. The convection heat transfer coefficient at the inner surface is h=1.25 Btu/h ft F. If the average temperature on the outer surface is T2=200 F: T1 T 11 h (a) Express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the pipe. (b) Obtain a relation for the variation of temperature in the pipe by solving the differential equation. (c) Evaluate the rate of heat loss from the steam through the pipe.