Problem 2 (25 points) - A 1x1m^2, 3 cm thick steel plate is initially at 30°C. It is dipped in a liquid bath at 30°C. The convective coefficient in the bath is 100 W/m^2·C. Determine:
A - Plate's central plane temperature after 5 min, using the first term equation from the exact solution.
B - Could you use the lump capacity method to obtain a reasonable result? Why? You do not need to solve for it.