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For the human body, what is the rate of heat transfer by conduction through the body's tissue with the following conditions: the tissue thickness is $3.00 {cm},$ the change in temperature is $2.00^{\circ} {C},$ and the skin area is 1.50 ${m}^{2} .$ How does this compare with the average heat transfer rate to thebody resulting from an energy intake of about 2400 kcal per day? (No exercise is included.)
The rate of heat transfer $=20$ Watt and this is 17.2$\%$ of the average daily energy intake.
Physics 101 Mechanics
Chapter 14
Heat and Heat Transfer Methods
Thermal Properties of Matter
Rutgers, The State University of New Jersey
Hope College
University of Winnipeg
McMaster University
Lectures
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in number 44 were asked, defying the rate of heat transfer in a human body were given that the tissue is three centimeters thick. The, um temperature difference will be two degrees and the area of the total area of the 1.5 meters. Somebody used my equation here for heat transfer, so my rate that this is a heat per time. So this is the rate. That's what I'm looking for. Okay, I just looked up on the table on the on table 14.3. It has the list of the thermal conductivity, thermal conductivity values, and I looked for fatty tissue without blood, and it was 0.2. We're given the area 1.5 that's in meter squared, so that's good. My difference in temperature is, too. That was in degrees Celsius. So that's good. And my sickness is three sun readers. I need to put that in meters 2.3 A multiply and divide and I get 20. So it's 20 Jules per second. Or I could call that a what. And then it asked me how that compares to the average intake energy that a person would have, and I'm told that they're the average person. It takes 2400 kilocalories per day. Well, if I'm gonna compare Leah's, they need to be in the same units. So I'm just gonna go across fact your label here at the bottom. Um, I know that there's 4186. Jules is one kill a calorie. So kill a calorie canceled. And my good days, One days, it seems 24 hours day we'll cancel. One hour is the same as 3600 seconds. That was canceled. So now I'm left in jewels, her second, and I'll be able to compare those. So I'm do this, and I get 1 16 Jules per second. So this, compared to that 20 will be 20 of the 116 Jules per second. So that's like 0.172 I could say that 17.2% of the antique
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