A at plate (k = 0.5 W/m-K, p: 200 kg/m3, c = 500 J/kg-K) separates two uids with different temperatures and convection coefcients. Heat conduction in the plate can be considered onedimensional. The initial temperature of the plate is uniform and equal to 30 C. . a) Select the problem parameters using the table below. b) Cover the domain with a grid and write the nite difference equations for interior and boundary nodes (16 points). c) Construct the accuracy test to show the chosen grid is ne enough (16 points). d) Calculate and plot the temperature proles in the plate at 25, 10s and at steady state. Discuss your results. (18 points)