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. Breathing oxygen. The density of air under standard laboratory conditions is $1.29 \mathrm{kg} / \mathrm{m}^{3},$ and about 20$\%$ of that air consists of oxygen. Typically, people breathe about $\frac{1}{2} \mathrm{L}$ of air per breath. (a) How many grams of oxygen does a person breathe in a day? (b) If this air is stored uncompressed in a cubical tank, how long is each side of the tank?

A) $2,200$ grams.B) 2.1 $\mathrm{m}$

Physics 101 Mechanics

Chapter 1

Models, Measurements, and Vectors

Physics Basics

Mia G.

September 25, 2020

Cornell University

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Washington

Lectures

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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In mathematics, algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

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Breathing Oxygen. The dens…

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case and I'm wondering Chapter 1 53 That's a five. I promise. S o. It says the density of air under stable laboratory controls is 1.29 kilograms per meter cubed. And that's about 20% oxygen. Okay, Okay. So typically, people breathe about 1/2 a leader air per breath if we're going to figure out how many grams of oxygen is a person in a day. Okay. So was asked the maid 12 grass permanent first. Could be in here. Okay, so we start out with 12 breaths per minute. Let's convert that to how many breaths? Divinity. So 60 minutes for one hour and now, 24 hours for one day. This equals 15,000 to 80 breasts per day. Lot of breaths. Okay, So each breath has said we get 1/2 a litre air, So if we have 1/2 17 to 8 breasts per day, we multiply this by 1/2 leader her breath, and we see this is 8640 leaders in a day or 8.64 meters. So now we just gotta find the mass. That's the mass of all the air we breathe. We work in the mass of the oxygen. If we just want the oxygen aside from has that volume of the air agrees? We got to convert that to Mass and then find the oxygen so mass is equal to B. This they're the density times the ball you. So the DNC is 1.29 kilograms per meter, cubed times 8.64 years cubed. And we see that this is 11.1 Killer grabs. So now in the mass of the two is 20% of that. So 0.2 comes that and that is 2.2 kilograms or 2,200 grams of oxygen per day. Awesome. So part be asked, if this a restored un compressed in a cubicle tank, how long is each side of the take? Okay, so that another page token, this So the total volume was 8.64 meters cube, this is the volume, and if it's a cubicle breath, that's just really cute. So now we want to find the length because take the cube root of the volume or your group of 8.64 Keep me keep meters and it's come out to be 2.1 meters for L. If it was stored in UN Compressed Cube. That's pretty big. This quite a bit of hair that you believe cool.

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