How to Calculate Heat Loss Per Hour Through a Glass Window Pane?

[preluderacer]

Homework Statement

A glass window pane is 2.7 m high, 2.4 m wide and 2 mm thick. The temperature at the inner surface of the glass is and at the outer surface 4°C. How much heat is lost each hour through the window?

The Attempt at a Solution

I have the stats on the glass like specific heat ect.

Im not quite sure what equations to use to solve this

 

[NobodySpecial]

How would you expect the power lost to depend on the area of the window and the temperature difference?

Do you know the equation for electrical resistance of a material? How is this similar?

 

[preluderacer]

no, I am not quite sure what that equation is.

 

[NobodySpecial]

You can work it out simply.

You expect the heat loss to go up with more area - double the area = double the heat loss.
And you expect it be proportional to the temperature difference, double the temperature difference double the heat loss.

so you have power is proprtional to area * temperature differences
or P = k A dt
where k is some constant for your material

Depending on how your data is given 'k' might be thermal conduction = bigger number is more heat lost, or thermal resistance = small number is more heat lost, so you migth have K or 1/K in the equation. You can tell from the units given for 'k'

 

[rwisz]

problem, but I can provide some guidance. To determine the heat loss per hour, you will need to calculate the thermal conductivity of the glass window pane. This can be done by using the formula k = (Q/t)(L/A)(1/ΔT), where k is the thermal conductivity, Q/t is the heat flow rate, L is the thickness of the glass, A is the area of the window pane, and ΔT is the temperature difference between the inner and outer surfaces.

Once you have calculated the thermal conductivity, you can then use the formula Q = kAΔT/t to determine the amount of heat lost per hour. Here, Q represents the heat loss per hour, k is the thermal conductivity, A is the area of the window pane, ΔT is the temperature difference, and t is the time in hours.

Remember to convert all units to the appropriate SI units (meters for length, square meters for area, seconds for time) before plugging them into the equations. I hope this helps guide you in solving the problem. Good luck!