3. A plate made of steel is at a temperature of 700 K. At once, it is placed in a convective flow with h = 1500 W/m2K and Tinf = 350 K. The plate is 3 cm thick. Evaluate the time t it takes for the center of the plate to reach a temperature of 400 K. (a) Steel is AISI 304. Consult Table A.1 in the textbook. What is the appropriate temperature to use to infer the material properties? Interpolate the properties if needed. (b) Calculate the Bi. Is it valid to use the lumped capacitance model (LCM)? (c) Assume LCM is not valid. Since you are solving for time, Fo cannot be calculated yet. Proceed with the assumption that Fo > 0.2 and use the one-term approximation method to solve for the time t. (d) Once you have solved for the time t, calculate the Fo. Was it valid to use the one-term approximation method