Problem 1: 3-2 (20 points) Also, assuming a linear initial temperature of F(x)=200+3000x *C and a slab thickness of 0.1 m, plot the temperature distribution as a function of time. Use pure aluminum properties from page 681. 3-2 A 1-D slab, 0 0, both of the boundary surfaces are perfectly insulated. Obtain an expression for the temperature 7(x, ?) in the slab. Clearly show the steady-state temperature from your expression. Independently derive the steady-state temperature from simple conservation of energy and show that this agrees with your above expression. APPENDIX I PHYSICAL PROPERTIES TABLE 1-1 Physical Properties of Metals Penperwies me 20"C C. KI Melting Print, "C Aurunun Fire 560 2,707 0.896 A-Ce (Durnlumin). 94-96% Al. 3-54 Cu, unCO ME 2,767 0.837 754 1,271 1830 1875 200 271 9,780 9.121 7.55 Cadmiumn 321 8,650 11.251 46.8 Copper 1 1185 ROS4 0.3831 11 204 Pure 8606 0410 2.340 Aluminum bronze 95% Cu. 5% Al 8.922 0410 21.7 Consiaryan 605 Cu. 40% Ni (conlinard overkat)