Consider a steam pipe of length L= 30 ft, inner radius rl =2 in, outer radius  r2= 2.4 in,...

Consider a steam pipe of length L= 30 ft, inner radius rl =2 in, outer radius  r2= 2.4 in, and thermal conductivity k=7.2Btu/h · ft · °F. Steam is flowing through the pipe at an average temperature of 300°F, and the average convection heat transfer coefficient ontheinner surface is given to be h=1.25 Btu/h · ft2 · °F. If the average temperature on the outer surfaces of the pipe is T2= 175°F, (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, and (c) evaluate the rate of heat loss from the steam through the pipe. Answer:(c) 46,660 Btu/Ii