Heat pump and temperature in the house

We can do this by using the definition of COP (Coefficient of Performance) which is equal to the ratio of heat output to work input. In this case, COP = 2.5, so for every 1 kW of electrical power consumed, 2.5 kW of heat is added to the house. Therefore, the rate of heat added to the house by the heat pump is 2.5 * 8 = 20 kW.Next, we can use the first law of thermodynamics to determine the change in temperature of the house. This law states that the change in internal energy (ΔU) of a system is equal to the heat added (Q) minus the work done (W) on the system. In this
  • #1
Kuddus
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0

Homework Statement


A heat pump with COP of 2.5 is used to heat a house. When operating, the heat pump cosumes 8kW of electrical power. If the house is losing heat to the outside at an average rate of 40000 kj/h and the temperature of the house is 3 degree celcius when the heat pump is turned on, determine how long it will take for the temperature in the house to rise to 22 degree celcius. Assume the house is well sealead ( i.e. no airl leaks) and take the entire mass within the house (air, door , furniture , etc) tobe equal to 2000kg of air for which Cv=0.728 kJ/(kg.K) and Cp= 1.005 kJ/(kg.K)


Homework Equations


Cp/Cv=gamma



The Attempt at a Solution

 
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  • #2
Welcome to PF.

I would start by figuring out at what rate the heat pump adds heat to the house.
 

1. How does a heat pump work?

A heat pump works by transferring heat from one area to another using a refrigerant. In heating mode, it extracts heat from the outside air and transfers it inside. In cooling mode, it extracts heat from inside and transfers it outside.

2. What is the ideal temperature for a heat pump to operate efficiently?

The ideal temperature for a heat pump to operate efficiently is between 25-35 degrees Fahrenheit. At this temperature range, the heat pump can still extract heat from the outside air and transfer it inside effectively.

3. Can a heat pump work in extreme temperatures?

Yes, a heat pump can work in extreme temperatures, but it may not be as efficient as in moderate temperatures. In very cold temperatures, a heat pump may need to use a backup heating system to maintain the desired temperature in the house.

4. How does a heat pump affect the temperature in the house?

A heat pump can both heat and cool the temperature in a house. In heating mode, it will increase the temperature by transferring heat inside, and in cooling mode, it will decrease the temperature by transferring heat outside.

5. What are the benefits of using a heat pump in a house?

Some benefits of using a heat pump in a house include energy efficiency, cost-effectiveness, and versatility. Heat pumps use less energy compared to other heating and cooling systems, resulting in lower utility bills. They can also provide both heating and cooling, making them a versatile option for any climate.

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