At time t=0, a 10 cm rod of Fe-0.8 wt% C alloy that is initially of uniform composition is placed in contact with a thermal reservoir at 1100K at one end and a second reservoir at 1300K at the other end. a. Give the coupled equations for heat and mass flux. Assume that only the interstitial carbon atoms are mobile. b. What conditions must the various coupling coefficients in these equations meet so that the carbon atom concentration will remain uniform in the bar? c. What conditions must the coupling coefficients meet to transport the carbon atoms toward the hotter end of the bar?