A space heater works by converting electrical power totally into thermal energy using high resistance coils. As the coils become hot, they transfer heat to the surrounding air by convection. The coils of this particular space heater have a mass of 0.1 kg, a surface area of 0.01 m2 and a heat capacity of 400 J/kg C. The space heater draws 250 W of electrical power. The heat transfer coefficient between the coils and air is fairly high because a fan blows air at room temperature (25 .C) across the coils. (a) (5 points) The space heater is turned on and allowed to reach steady state. The steady state temperature is observed to be 200 C. Use this information and the data given above to estimate the heat transfer coefficient between the heater coils and the air (in J/s m2 C). (b) (5 points) If the heater is switched off while in the steady state of part (a), about how long will it take for the coils to return to room temperature? Note that the heat transfer coefficient is much lower for this case (10 J/s m2 C) because the fan is off too