QUESTION 1 (PO1, C01, C1, C3) a) State the Fourier's Law of heat conduction. Clearly define two assumptions under which this law is applicable. (3 marks) b) A steam pipe of length L = 25 m, with an inner radius, 11 = 8 cm, outer radius, r2 = 12 cm, and thermal conductivity, k = 27 W/mC. The inner and outer surfaces of the pipe are maintained at average temperatures of T1 = 170C and T2 = 85C, respectively. Given: 3-dimensional conduction equation for cylindrical shape 1 a at at ar rr (kr. 1 a at a + k + r2a0 ag az (*+&(k ) - k) at z) + = pcp at i) Obtain a general relation for the temperature distribution inside the pipe under one dimensional conduction and steady state conditions. (11 marks) ii) Calculate the rate of heat loss from the steam through the pipe. (4 marks) C TT1 r2, TS,2 Figure 1 A steam pipeline