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A resting adult requires about $240 \mathrm{mL}$ of pure oxygen/min and breathes about 12 times every minute. If inhaled air contains 20 percent oxygen by volume and exhaled air 16 percent, what is the volume of air per breath? (Assume that the volume of inhaled air is equal to that of exhaled air.)

$$x=500 \mathrm{mL}$$

Chemistry 101

Chapter 1

Chemistry: The Study of Change

Intro to Chemistry

Carleton College

Drexel University

University of Kentucky

Brown University

Lectures

02:29

Chemistry is the science of matter, especially its chemical reactions, but also its composition, structure and properties. Chemistry deals with atoms and their interactions with other atoms, and particularly with the properties of chemical bonds. Chemistry also involves understanding the properties and interactions of individual atoms and molecules for use in larger-scale applications.

04:42

In chemistry and physics, matter is any substance that has mass and takes up space by having volume. All everyday objects that can be touched are ultimately composed of atoms, which are made up of interacting subatomic particles, and in everyday as well as scientific usage, "matter" generally includes atoms and anything made up of them, and any particles and objects that act as if they have both rest mass and volume. However it does not include massless particles such as photons, or other energy phenomena or waves such as light or sound. Matter exists in various states (known as phases) that are defined by various physical properties, such as state of matter, phase, shape, and density. The Standard Model of particle physics and the general theory of relativity describe fundamental particles and the fundamental forces acting between them that control the structure and dynamics of matter.

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Hi. So this question is asking you to give you a bunch of numbers regarding how much oxygen in particular resting adult needs and how often they breathe per minute. And then they give you how much what percentage of the inhaled areas oxygen by volume. And they give you how much they're inhaling and how much the exhaling. And basically they just want to find the volume of air per breath. So this is basically this is very typical unit conversion problem, just with a little different spin. A lot of unusual, um, units and information they give you. So the first big piece information they give you is that arresting adult requires about 240 milliliters of pure oxygen per minute and threes about 12 times every minute. So since we want to, we want to put everything in terms of breaths because you want to find how much volume air per breath, right. So you want to find how much, um, oxygen, they actually need her breath. So we have 200 40 no leaders for a minute for 02 and we want to convert this to how many milliliters per breath, right? So we know, we have, um, 12 breaths for a minute, and we put the breath on the bottom so that Kendall the minutes like this, right? So we will get, what, 20 no years? Ter breath. So on average, you'll get about you should you should need about 20 milliliters per breath of oxygen. Okay, so now let's look to the second part of the question. Inhaled air is 20% oxygen by volume, and exhaled air is 16%. Okay, so if you're noticing this, the percentage of oxygen changes, right? So what does the what person? How does it if the percentage of oxygen changes? Where is that oxygen going? It's being, um, consumed by the adult. Right. That is the 20 milliliters we're getting here. 20 abilities per breath. So this 20 milliliters per breath is equal to the difference in the percentage of oxygen by volume. So we have, what, 20% in the beginning. And then now we have 16% right? And that means that, um, the difference between your inhalation and exhalation is the amount of oxygen that you have consumed. So 4% of the volume is 20. No leaders, okay? Because I have consumed 4% of of the volume of the inhaled air. Right? And per breath, I get 20 milliliters. So therefore, 20 millions is 4% of the volume. Okay, so we have 0.4 um, percent. And if you want to just get the total right, it's It's four over 100 right? Four, over 100 equals 20 mill years over the total or X, which we don't know in this case, right? You want to find this X The total amount. Here, here. We just have a percentage. I mean, when I use a number that we know which is 20 milliliters to find the total. Okay, So if you just do a little bit of calculation here and just reorganize everything you should get X equals five 100 no leaders. So this right here is actually your total volume of air per breath. Now, let me run through it again. Real quick is, in a way, this is actually kind of a confusing question to think about. Um, So basically, what we did was we confirms converted. Are, um our volume of air we need per minute to how much air we need her breath, which we got 20 million U 20 milliliters per breath. And then we also noticed that if you inhale or the def we notice the difference between the exhalation percentage of oxygen versus the inhalation. We noticed there was a difference of 4%. Right? Where did that 4% go? We realized that this 4% is Helmer is the auction that we've been taped. And if we intake 20 milliliters per breath, we know that 4% of the volume is 20 mil years. So since we know that fact weaken do just a simple proportion that we did over here, right? Four over 100 eagles, 20 no leaders over, whatever the total volume was. And then we solved for that. And then we got 500 milliliters, which is our answer here. Okay, so I hope this made it clear it is a little bit of a confusing question, but I hope this is helpful. And thanks for listening

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