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A person at rest inhales 0.50 L of air with each breath at
Chapter 18, Problem 18.66(choose chapter or problem)
A person at rest inhales 0.50 L of air with each breath at a pressure of 1.00 atm and a temperature of \(20.0^{\circ} \mathrm{C}\). The inhaled air is 21.0% oxygen.
(a) How many oxygen molecules does this person inhale with each breath?
(b) Suppose this person is now resting at an elevation of 2000 m but the temperature is still \(20.0^{\circ} \mathrm{C}\). Assuming that the oxygen percentage and volume per inhalation are the same as stated above, how many oxygen molecules does this person now inhale with each breath?
(c) Given that the body still requires the same number of oxygen molecules per second as at sea level to maintain its functions, explain why some people report “shortness of breath” at high elevations
Questions & Answers
QUESTION:
A person at rest inhales 0.50 L of air with each breath at a pressure of 1.00 atm and a temperature of \(20.0^{\circ} \mathrm{C}\). The inhaled air is 21.0% oxygen.
(a) How many oxygen molecules does this person inhale with each breath?
(b) Suppose this person is now resting at an elevation of 2000 m but the temperature is still \(20.0^{\circ} \mathrm{C}\). Assuming that the oxygen percentage and volume per inhalation are the same as stated above, how many oxygen molecules does this person now inhale with each breath?
(c) Given that the body still requires the same number of oxygen molecules per second as at sea level to maintain its functions, explain why some people report “shortness of breath” at high elevations
ANSWER:Step 1 of 4
Here, we shall have to use the ideal gas equation and the equation for change in pressure with height
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Here, P= pressure, V = volume, R = gas constant, T= absolute temperature, n = number of moles, M = molar mass of the gas, g = acceleration due to gravity and y = altitude
Given, volume