Underground pipe network system is made to distribute hot fluid (temperature 93oC) from one point to another in a factory. The pipe used is 0.3 m in diameter and planted 0.6 m deep from the ground. It is known that the soil has a temperature of 10oC with a value of k = 0.865 W/m.K. a) Calculate the heat rate per unit length of the pipe. b) What is the percentage reduction in the heat rate, if the pipe is first given a layer of insulation with a value of k = 0.07 W/m.K with a thickness of 2.5 cm. c) Give your opinion on the results of the calculations in points (a) and (b) above.