In an annealing process, a 50-mm-thick stainless steel plate (rho = 8238 kg/m3, cp = 468 j/kg·k, k = 13.4 w/m·k, and α = 3.48 × 10−6 m2/s ) was reheated in a furnace from an initial uniform temperature of 230°c. the ambient temperature inside the furnace is uniform at 1000°c, and the convection heat transfer coefficient is 215 w/m2·k. if the entire stainless steel plate is to be heated to at least 600°c, determine the time that the plate should be heated in the furnace using the analytical one-term approximation method.