A marble slab with k = 2 W/(m . ° C), r = 2500 kg/m3, and c = 800 W. s/(kg . ° C) is 2...

A marble slab with k = 2 W/(m . ° C), r = 2500 kg/m3, and c = 800 W. s/(kg . ° C) is 2 cm thick and at an initial uniform temperature of T_i = 200 ° C. The left surface is suddenly lowered to 0 ° C and is maintained at that temperature while the other surface is kept insulated. Determine the temperature distribution in the slab for 40 s. Use and a time step of 8 s.