must solve ALL, and must SHOW WORK for a like. if not ill dislike

Problem 3 (this problem is weighted twice that of 1.2.4 because of the need to set up larger matrices) Leaming objectives: Application of the explicit method for unsteady state heat transfer and use of matrix algebra to solve systems of equations. Unstable chemicals have been stored in a blast-proof storage unit with concrete walls in an area distant from a chemical plant where the chemicals are used. On a hot day, the air temperature has reached 40C and the wind is blowing such that the heat transfer coefficient on the exterior wall surfaces area is 50 W/mK. The 10 cm thick walls had been at 20C, but something has caused the chemicals inside to ignite. Monitoring instruments indicate that the interior room temperature quickly reached and stabilized at 200C. The walls of the storage unit have a thermal conductivity of 0.5 W/m-K, density 1800 kg/m, and specific heat capacity of 840 J/kg-K. Find the temperature profile through a wall, assuming that at time t = 0, the temperature of the left face (interior) is raised to 200 C while the right face (exterior) is exposed to blowing air at 40 C. Estimate the time required to approach steady state using the explicit method with the following conditions: a) 11 nodes in this system with a time step of 75s. b) 21 nodes in this system with a time step of 75s. c) How do the answers change with At = 24 s? Should a time step even smaller be used to get an accurate answer or was 75 s adequate? =