The baseplate of the 1000W iron depicted at the right which is 0.5 cm thick with a surface area at 0.03 m2 has thermophy

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The baseplate of the 1000W iron depicted at the right which is0.5 cm thick with a surface area at 0.03 m2 hasthermophysical properties, p=2770 kg/m3, Cp = 875 J/k Cand a=7.3 x 10-5 m2/s. Initially theiron is in thermal equilibrium with the surrounding air at 22 C.Assuming the surface heat transfer coefficient to be12W/m2 C and assuming that 85% of heat generated in theelectrical heater is transferred to the baseplate, determine (a)how long it would take for the temperature of thee baseplate toreach 140 C and (b) how long the heater will be off if thethermostat is set such that the electric heaters switch offat 140 C and on at 125 C.