Consider a steam pipe of length L= 9 m, inner radius r1 = 5 cm, outer radius r2 = 6 cm, and thermal conductivity k = 12.5 W/m.C. steam is flowing through the pipe at an average temperature of 1500C, and the average convection hat transfer coefficient on the inner surface is given to be h = 70 W/m2.C. If the average temperature on the outer surfaces of the pipe is T2= 800C, (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.