3. A furnace wall is made up of three separate materials: material1 material 2 material 3 Ta = 200? T1 To 20'C inside outside 0.5 cm 0.3cm T 0.2cm wall Since it is hot inside the furnace (Ta200 C) relative to the outside (Tb 20'C), heat escapes through the wall. The equations that govern the various temperatures at the surface of each material (Ti through T4) are listed below (assuming steady-state heat transfer). Ax, Ax2 Ax, Ax, Note that there are four equations with four unknowns (since h, h2, ki, k2, and ka are all constants). a) Rearrange these equations into a more traditional form so that they can be solved using matrix algebra b) Using matrix operations in EXCEL, solve for T1, T2, Ts and T4 given the following information: k1 0.01 cal/cm-s C k2 0.15 cal/cm-s C ks = 0.03 cal/cmsC h1 = 1.0 cal/cm2,s.C h2 = 0.8 cal/cm2.s.C c) Use a scatter plot to plot T vs distance through the wall. Connect the lines between the points. Follow the guidelines for making charts in EXCEL (i.e. label all axes, etc)