A skier wears a jacket filled with goose down that is 15mm thick. Another skier wears a wool sweater that is 7.0mm thick. Both have the same surface area. Assuming the temperature difference between the inner and outer surfaces of each garment is the same, calculate the ratio(wool/goose down) of the heat lost due to conduction during the same time interval.
Isnt heat flow directly proportional to the distance?
Yes, you are correct. Heat flow is directly proportional to the distance for conduction. In this case, the temperatures and surface area are the same for both the goose down jacket and the wool sweater, so we can assume that the only difference affecting the heat flow due to conduction is the thickness of the materials.
To calculate the ratio of the heat lost due to conduction, we need to compare the thicknesses of the goose down jacket and the wool sweater.
The ratio can be calculated using the formula:
Ratio = (Thickness of wool sweater) / (Thickness of goose down jacket)
Given that the thickness of the goose down jacket is 15 mm and the thickness of the wool sweater is 7.0 mm, we can substitute these values into the formula:
Ratio = 7.0 mm / 15 mm = 0.4667
So, the ratio of the heat lost due to conduction for the wool sweater to the goose down jacket is approximately 0.4667.