Consider a 10.0 m long pipe, of diameter 0.6m, wall thickness 0.7 m, and a thermal conductivity k 2.5 w/m k that is subjected to internal heat generation with qdot=19,500 w/m^2. the inside of the pipe is insulated, while its external wall is subjected to a constant temperature of 100 k. evaluate (a) the temperature profile within the pipe wall, and (b) the total heat transfer rate leaving at the pipe outer surface