Question

Calculate the rate of heat conduction out of the human body, assuming that the core internal temperature is 37.0°C, the skin temperature is 34.0°C, the thickness of the fatty tissues between the core and the skin averages 1.00 cm, and the surface area is 1.40m².

(a) 80 W
(b) 100 W
(c) 120 W
(d) 140 W

Answer 1

The rate of heat conduction out of the human body is approximately 0.189 W.

Step-by-step explanation:

To calculate the rate of heat conduction out of the human body, we can use the formula:

Q = k * A * ΔT / d

Where:

• Q is the rate of heat conduction
• k is the thermal conductivity of the tissue
• A is the surface area of the skin
• ΔT is the temperature difference between the core and the skin
• d is the thickness of the fatty tissues

Using the given values, we have:

• k = 0.045 W/(m·°C)
• A = 1.40 m²
• ΔT = 37.0 °C - 34.0 °C = 3.0 °C
• d = 1.00 cm = 0.01 m

Substituting these values into the formula:

Q = 0.045 W/(m·°C) * 1.40 m² * 3.0 °C / 0.01 m

Simplifying:

Q = 0.189 W

Therefore, the rate of heat conduction out of the human body is approximately 0.189 W.