Final answer:
The false statement is that the evaporator is heated when the cooling mode is active. In reality, during cooling, the evaporator absorbs heat and is not heated up.
Step-by-step explanation:
The false statement about air-conditioning systems among the options provided is: "When the cooling mode is active, the burner is off and the evaporator is heated." This statement is incorrect because, in the cooling mode, the evaporator is not heated; instead, it absorbs heat from the indoor air. The workings of a heat pump or an air-conditioning system include the use of an evaporator, a compressor, a condenser, and an expansion valve. In the cooling mode, the indoor air passes over the cold evaporator coils, allowing the refrigerant inside the coils to absorb heat, which is then expelled outside through the condenser coils.
Additional aspects of air-conditioning systems that were correctly stated include the use of the same air handler and ductwork for both heating and cooling, the ability to add moisture to the air by a humidifier in the plenum chamber when the furnace is operating, and a fresh air inlet which can be thermostatically, manually, or by air pressure controlled.