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$\cdot$ Heat loss during breathing. In very cold weather, a significant mechanism for heat loss by the human body is energy expended in warming the air taken into the lungs with each breath. (a) On a cold winter day when the temperature is $-20^{\circ} \mathrm{C},$ what is the amount of heat needed to warm to internal body temperature $\left(37^{\circ} \mathrm{C}\right)$ the 0.50 $\mathrm{L}$ of air exchanged with each breath? Assume that the specific heat capacity of 1.3 $\mathrm{g}$ is 1020 $\mathrm{J} /(\mathrm{kg} \cdot \mathrm{K})$ and that 1.0 $\mathrm{L}$ of air has a mass of 1.3 $\mathrm{g}$ . (b) How much heat is lost per hour if the respiration rate is 20 breaths per minute?

a-$38 J$b-$12.67$ Watt

Physics 101 Mechanics

Chapter 14

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

Cornell University

University of Michigan - Ann Arbor

University of Sheffield

McMaster University

Lectures

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guy says, Take a look at the question. Well, first question was asking us how much he was required if we need to. He got a cold air from the next 20 responses to our body temperature, which is 37 degrees Celsius. Okay, So while we know that he could the questionable require, he's Q equal to emcee hostility. M is the mass sees this of a seven heats. Reality is the change in temperature. Okay, so we know initial temperatures named Tony The resources. If we cover to Calvin, it's 253. Uh, cover. Okay. And the final temperature is our human body temperature, which is 37 degrees Celsius. And we converted to Calvin is 310 Calvin. Okay. And so now we know the change of temperature is is equal to dalati was his teacher RAV minus T wan, which is 310 Calvin Maya's 153 kelp, which will do us 57. Calvin. Okay, so there's a change in temperature in Calvin. Also this specific he was such areas given as well. It was It's 10 20 Jew overkill. Grand times called it. Hey, that's a service. If he? He well, one leader air a 1.3 grand air. Okay, but in this case would harm about zero point violator air in the process. Okay, so the mass here, it's equals 1.3 grand. Do you have a tube? Which is 0.65 Great. Well, a mass off air we need to raise the temperature from. Okay, so now we have seen we have, um we have dualities. O que is equal to which is Joe pointing 65 grand. So when you come very to kill over because you see the service city here has a unit killed, so he hurt. In order to standardize the equation, we got the comfort of grand to kill, which is 3.65 times tens of power. Three Children, number three by bay. Cuba was one grand potential power 93 kilgrave times. Supposedly he was 10. 20 Jew. Look, 10 20 Jew over killer grand times. Calvin. Okay. Past the change in temperature was 57 Children known us about 30 A. This will make sure about 38 You Well, the require heat. Okay, now I think the question be so question be was asking us how many how much he will be lost her our if Ah, we breathe 20 times. Three minutes. Well, um so we know one minute is equal to 1/60 hours because one hour have 60 minutes. Okay, so one hour is 60 minute. Okay, He's talking about 20 time. We could well breathe 20 times per minute. Emmys. We breathe 20 times, 60 times in an hour, which is 1200 times so there will be 1200 has breathed per hour. Okay? And we know a warm breeze he he require was about 30 a Do you okay? Which means that that he would last for hours or simply que times the 1200 breeds with during the hour. And that would give us 38 times There is you. It has 1200 which is 4.56 Has power essentially power forward? Que Okay paint where you convert it to power so the power will be killed. You have I t as converted to do for second units. So remember the power of the the and Iwas Well, 0.56 transcendental power Ford you and it s a time it was an hour. So it was 3600 seconds. Because one hour has 3600 seconds. Okay? And it will give us 12.67 watts, which is you per second full of powered. Okay. And they will be the answer for these questions. Thank you.

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