Heating efficiency of a Heat Pump and a Space Heater

[Dreebs]

Homework Statement

Instead of pumping heat into the cabaret air from the outside air, you could simply put an electric space heater inside the cabaret. A space heater turns electrical energy directly into thermal energy. Why would operating a space heater consume more electric power than operating a heat pump?
Select one:
a. To achieve the same increase in the temperature of the cabaret air, the space heater would have to deliver more heat to the cabaret air than is delivered to the cabaret air by the heat pump.
b. A space heater is not 100% energy efficient, meaning that only a fraction of the electrical energy entering the space heater becomes thermal energy. The remaining electrical energy vanishes.
c. The heat pumping system converts entropy into thermal energy, thereby providing more heat to the cabaret air than could be provided by the space heater.
d. The space heater delivers exactly as much heat as it receives in electrical energy. The heat pump delivers not only all of the electrical energy converted to thermal energy, but also additional heat that it pumps in from outdoors.

Homework Equations

N/A

The Attempt at a Solution

D, The space heater converts all electricity into heat, however the heat pump converts all electricity into heat but also additional heat brought in from the outdoors.

 

[haruspex]

Homework Statement

Instead of pumping heat into the cabaret air from the outside air, you could simply put an electric space heater inside the cabaret. A space heater turns electrical energy directly into thermal energy. Why would operating a space heater consume more electric power than operating a heat pump?
Select one:
a. To achieve the same increase in the temperature of the cabaret air, the space heater would have to deliver more heat to the cabaret air than is delivered to the cabaret air by the heat pump.
b. A space heater is not 100% energy efficient, meaning that only a fraction of the electrical energy entering the space heater becomes thermal energy. The remaining electrical energy vanishes.
c. The heat pumping system converts entropy into thermal energy, thereby providing more heat to the cabaret air than could be provided by the space heater.
d. The space heater delivers exactly as much heat as it receives in electrical energy. The heat pump delivers not only all of the electrical energy converted to thermal energy, but also additional heat that it pumps in from outdoors.

Homework Equations

N/A

The Attempt at a Solution

D, The space heater converts all electricity into heat, however the heat pump converts all electricity into heat but also additional heat brought in from the outdoors.

Yes.