Final answer:
The rate of heat transfer by conduction through the human body's tissue is calculated to be 20.0 W, which is lower than the average heat transfer rate from energy intake, calculated as 116.279 W. However, there is a mismatch between the calculated value and the provided options, indicating a potential error.
Step-by-step explanation:
To determine the rate of heat transfer by conduction through the human body's tissue with the given conditions, we need to know the thermal conductivity of human tissue. Assuming a reasonable average thermal conductivity value of 0.2 W/m·K, we can use Fourier's Law of heat conduction, which is:
Q/t = k × A × (T2 - T1) / d
where:
By plugging in the values:
We can calculate the rate of heat transfer (Q/t) as follows:
Q/t = (0.2 W/m·K) × (1.50 m²) × (2.00 K) / (0.03 m) = 20.0 W
Now, to compare this rate with the average heat transfer rate resulting from a daily energy intake of about 2400 kcal, we convert the calories to joules (where 1 kcal = 4184 J) and divide by the number of seconds in a day (86,400 s):
2400 kcal × 4184 J/kcal × 1 day/86400 s = 116.279 W
This means that the heat transfer by conduction through the body's tissue is lower than the average heat transfer rate to the body resulting from energy intake. Therefore, the correct answer would be:
b) 100.0 W, It is lower than the average heat transfer rate.
Note: The calculated value (20.0 W) does not match with any of the options provided, suggesting a possible error in the question's answer options or in the assumptions used for the calculation (such as thermal conductivity).