Problem 2 (10 Pts) X=0,T= 100 K X = 1, T = 90 K Figure 2: Two end of the rods are maintained at different temperatures. A metal rod of thermal conductivity k = 1 W/(m.K) has its one end at x = 0 maintained at 100 K and the other end at x = 1 maintained at 90 K. 1. (5 Pts) Derive the steady state temperature profile along the length of the rod T(x). = 2. (5 Pts) Compute the heat flux at locations x = 0.25 and x 0.5. Are they equal? If so, what is the physical reason.