What is the minimum power required to operate the heat pump?

In summary, the proposed method for heating a house using a heat pump operating between 27 degrees and -13 degrees involves a heat loss of 7kW. The minimum power required to operate the heat pump can be calculated using the equation W=7000/7.5, assuming a ratio of temperatures of 7.5.
  • #1
swain1
30
0

Homework Statement


It is proposed to heat a house using a heat pump operating between the house (27 degees) and the outside (-13 degrees). The heat loss from the house is 7kW. What is the minimum power required to operate the heat pump?

Homework Equations


The Attempt at a Solution


e=Th/(Th-Tc) =7.5
W=7000/7.5 =933 W

Just checking if this is correct or have I made a mistake. Thanks
 
Last edited:
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  • #2
Since you start out with a dimensionless number, a ratio of temperatures, and equate that to some number of Watts, something is surely wrong. Maybe you just need to rewrite things to make it clear
 
  • #3
I have moved the equation now. If you look at the question you will see that 7000 has units of watts. Is it wrong anyway?
 
  • #4
swain1 said:
I have moved the equation now. If you look at the question you will see that 7000 has units of watts. Is it wrong anyway?

That looks better. It woudl be better still if you had units of W on the 7000.
 

Related to What is the minimum power required to operate the heat pump?

1. What is the definition of minimum power in a heat pump?

The minimum power in a heat pump refers to the lowest amount of energy required to operate the system and produce the desired heating or cooling effect.

2. How is the minimum power calculated for a heat pump?

The minimum power for a heat pump is calculated by taking into account the size and efficiency of the heat pump, as well as the desired temperature difference between the inside and outside of a building.

3. Does the minimum power vary for different types of heat pumps?

Yes, the minimum power required to operate a heat pump can vary depending on the type of heat pump, such as air source, ground source, or water source heat pumps. Each type has different efficiency levels and energy requirements.

4. Can the minimum power be reduced through energy-saving measures?

Yes, there are various energy-saving measures that can help reduce the minimum power required to operate a heat pump. These include proper insulation, regular maintenance, and using a programmable thermostat to control the temperature settings.

5. What happens if the minimum power requirement is not met for a heat pump?

If the minimum power requirement is not met for a heat pump, it may not be able to produce the desired heating or cooling effect, and the system may become inefficient. In extreme cases, it could even lead to system failure.

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