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$\bullet$ Basal metabolic rate. The basal metabolic rate is the rate at which energy is produced in the body when a person is at rest. A 75 $\mathrm{kg}(165 \mathrm{lb})$ person of height 1.83 $\mathrm{m}$ (6 ft) would have a body surface area of approximately 2.0 $\mathrm{m}^{2}$ . (a) What is the net amount of heat this person could radiate per second into a room at $18^{\circ} \mathrm{C}$ (about $65^{\circ} \mathrm{F}$ ) if his skin's surface temperature is $30^{\circ} \mathrm{C}$ ? (At such temperatures, nearly all the heat is infrared radiation, for which the body's emissivity is 1.0 , regardless of the amount of pigment.) (b) Normally, 80$\%$ of the energy produced by metabolism goes into heat, while the rest goes into things like pumping blood and repairing cells.Also normally, a person at rest can get rid of this excess heat just through radiation. Use your answer to part (a) to find this person's basal metabolic rate.

a) $H=143 \mathrm{W}$b) Basal metabolic rate $=178\mathrm{W}$

Physics 101 Mechanics

Chapter 14

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

Simon Fraser University

University of Sheffield

University of Winnipeg

Lectures

02:20

A solid, liquid, or gas is one of the three main states of matter. Solids have a definite shape and volume, and retain their shape when a force is applied to them. They are rigid, and do not flow to take on the shape of a container, but retain their own shape. Solids are held together by intermolecular forces, which are usually chemical bonds. Liquids have a free-flowing, continuous surface, and take the shape of a container. They flow to fill an available space. Their particles do not have a definite shape or volume, and they are not rigid. Gases have no definite shape or volume. They are not held together, and are not rigid. They flow to fill an available space. Gases are often described as being the state of matter with the lowest density.

03:25

The First Law of Thermodynamics is an expression of the principle of conservation of energy. The law states that the change in the internal energy of a closed system is equal to the amount of heat energy added to the system, minus the work done by the system on its surroundings. The total energy of a system can be subdivided and classified in various ways.

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our guys. This looks on question one. So the question was asking us. Yeah, now he radiation. Remove on a person if the surroundings temptress 18 degrees and the skins temperatures 30 degrees Celsius. Okay, so we know we can come out with such equation. With age, you go to eight and Sigma has e ties. Tito Power for my honesty. Trying to the power for is that he currents ace the surface area saying myself Stefan Constant, which is about 5.67 times 10 to the negative eight watts. But the the square tens Calvin to the power for is the facility, which is equal one tee's third degree Celsius. I come very into Calvin, which is 303 cover your prime is 18 degrees Celsius. Just 291 Calvin in unit Calvin Okay, in seems hoping for question It was to try to figure out he radiation per second. OK, so some of the age, which is that he radiation on our terms, he reckon Ah, he current. We just think simply you go to a which is two point on me to square times 5.67 times it sends you on a watts per meter square as Calvin. So our for size one size, 303 child It, however, for minus 291 Calvin to a power for and this should give us eight. He's secret. 143 watts. Okay, so that's the answer for first question, no question. Be it was asking us. So what is the person's space on the tapping rates? And we know that the rates I mean, I'm sorry. The we know that 80% of the energy produced by them with help is is go see into heat. Okay. And from the last question, where if you go the he per second was 143 watts. So since this, the resources 80%. So s a and the sequel that 80%. That means that, but happily rates, they say, let's use a simple real quick. Uh, well, let's use you to stand for the but have Metallica rates. Okay, Which is equal to h Do I buy in things u n is equal to h. Okay, because he was saying that 80% off the but happily greats. I'm sorry. Uh, yeah. Any present with having Ray was converting to the heat. So if we plugging, the value here will get 143 watts. Do what? About 80%. And this will give us 1 78 watts. For them, it's happy rates. Okay? And that's my answer. His question. Thank you.

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