Heat transfer, energy needed to heat house

AI Thread Summary
The discussion revolves around calculating the energy required to heat a warehouse with specific wall dimensions and temperatures. The heat loss through the walls is given as 0.02 kW/m2, and the total wall area is 200 m2. Participants emphasize the importance of using the equation Q=kA(ΔT/Δx) to determine power and subsequently energy, noting that time is crucial for converting power to energy. There is also a focus on determining the necessary thickness of urethane insulation to halve the heating costs. The conversation highlights the need for clarity in distinguishing between power and energy in thermal calculations.
Leaffy
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Hi everyone!
First time here, but I'm having trouble with a problem. Here goes:

On a given day, heat losses through the 20cm-thick walls of a warehouse are 0.02 kW/m2 when the outside wall temperature is 5C and the inside wall temperature is 25C. The owner would like to reduce her heating bill by adding urethane insulation to the outside wall. k:urethane = 0.026 W/m.K

a. If the walls have an area of 200 m2, what is the total energy (in kJ and kWh) needed to heat the house that day (a day has 24 hours) without the insulation (ignore windows and doors)
b. What is the thermal conductivity of the wall?
c. Determine the thickness of the insulation needed to reduce the heating bill that day by a factor of 2.


So the equation I'm looking at is Q=kA(ΔT/Δx)
I think I can use 0.02 kW/m2 multiplied by area to get a Wattage for power, but I don't think it's right.

Once I have power, I can do the rest, but this has been driving me nuts all day.

Your help is much appreciated.
 
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Leaffy said:
So the equation I'm looking at is Q=kA(ΔT/Δx)
I think I can use 0.02 kW/m2 multiplied by area to get a Wattage for power, but I don't think it's right.
Actually that looks like the right approach to me.
 
Thank you, but what do I do about time? Or is that extraneous information?
 
Leaffy said:
I think I can use 0.02 kW/m2 multiplied by area to get a Wattage for power...
Yes, you'll get the power, but question (a) is asking for energy. So you need to know the time to get the energy from the power that you calculate.
 
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