Question

Suppose a person is covered head to foot by wool clothing with an average thickness of 2.00 cm and is transferring energy by conduction through the clothing at the rate of 50.0 W. What is the temperature difference across the clothing, given the surface area is 1.40 m²?

a) 20.0°C
b) 25.0°C
c) 30.0°C
d) 35.0°C

Answer 1

To find the temperature difference across the wool clothing, you can use the formula ΔT = (Q * d) / (k * A) where Q is the rate of energy transfer, d is the thickness of the clothing, k is the thermal conductivity of wool, and A is the surface area.

Step-by-step explanation:

To find the temperature difference across the clothing, we can use the formula Q = k * A * ΔT / d, where Q is the rate of energy transfer, k is the thermal conductivity, A is the surface area, ΔT is the temperature difference, and d is the thickness of the material. Rearranging the formula, we have ΔT = (Q * d) / (k * A). Plugging in the given values, ΔT = (50.0 W * 0.02 m) / (wool thermal conductivity * 1.40 m²). The wool thermal conductivity is needed to determine the temperature difference.