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 1.40m²?

(a) 5.0°C
(b) 7.5°C
(c) 10.0°C
(d) 12.5°C

Answer 1

To find the temperature difference across the wool clothing, you can use the formula for heat conduction.

Step-by-step explanation:

To find the temperature difference across the wool clothing, you can use the formula for heat conduction:

Q = k * A * ΔT / d

Where Q is the rate of heat transfer, k is the thermal conductivity of the material, A is the surface area, ΔT is the temperature difference, and d is the thickness of the material.

Plugging in the given values, we have:

50 W = k * 1.40 m² * ΔT / 0.02 m

From this equation, we can solve for ΔT:

ΔT = (50 W * 0.02 m) / (k * 1.40 m²)

Since the problem does not provide the value of the thermal conductivity of wool, we cannot calculate the exact temperature difference across the clothing.