Consider a 1000-W iron whose base plate is made of 0.5-cm-thick aluminum alloy 2024-T6 (density= 2770 kg/m3 and cp= 875 J/kg • °C). The base plate has a surface area of 0.03 m2. Initially, the iron is in thermal equilibrium with the ambient air at 22°C. Assuming 85 percent of the heat generated in the resistance wires is transferred to the plate; determine the minimum time needed for the plate temperature to reach 140°C.