The thickness of the base plate of a 0.9 kw iron is 6‐mm‐thick and the base plate is made of aluminum alloy. the density, specific heat, and thermal diffusivity of the aluminum alloy plate of are rho= 2270 kg/m3 , cp = 875 j/kg. k, α = 7.3 × 10‐5 m2 /s, respectively. in the beginning, the iron is in thermal equilibrium with the ambient air at 295 k. consider the base plate has surface area of 0.04 m2 . considering the heat transfer coefficient at the surface of the alloy plate to be 12 w/m2 .k and assuming 87 percent of the heat generated in the resistance wires is transferred to the plate, calculate how long it will take for the plate temperature to reach 413 k. is it realistic to assume the plate temperature to be uniform at all times? (25 points)