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Suppose a person is covered head to foot by wool clothing with 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 ${m}^{2}$
$\Delta T=17.9^{\circ} \mathrm{C}$
Physics 101 Mechanics
Chapter 14
Heat and Heat Transfer Methods
Thermal Properties of Matter
Cornell University
Hope College
University of Winnipeg
McMaster University
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to solve this question we are going to use Hey transfer rate formula conductivity, times area difference in the temperature divided by the thickness. We are given all the values except the difference in the temperature, which is totally we're supposed to find. So my layoff Q divided by T is 50. What So Q divided by T is Jules per seconds or what? So any valley which is given in terms of Jews for seconds or what is power Still, 50 times D Valley of D will be two centimeters, so that's two times 10 power negative two meters. Remember that all quantity should be in a proper units. Now we're going to divide this by K, and a value of K for bull is given on the page. 602 Off book, which stays 0.4 on area, is given us 1.4. So let me perform this calculation So new monitor is simply one, as you can see, because it's 100 times temper when they're getting too divided by 0.4 divided by 1.4 So temperature differences 17.85 seven. So since the values are in three significant digits. We must sit around off values to three significant bigots, so the temperature difference is 17.9 degrees Celsius.
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