Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
9th Edition
ISBN: 9781305372337
Author: Raymond A. Serway | John W. Jewett
Publisher: Cengage Learning
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Chapter 21, Problem 53AP
To determine
The ratio of helium to oxygen must be used if the diver is at an ocean depth of 50.0 m.
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You have completed several dives using SCUBA apparatus and are ready for a deep dive in seawater. You have arranged to have tanks of heliox prepared for your dive. Heliox is a mixture of helium and oxygen. Oxygen at pressures much greater than 1 atm is toxic to
lung cells, so you want to keep the partial pressure of oxygen from your diving equipment at 1 atm or less during your dive. You will be diving at a depth of h = 41.8 m. What ratio of helium to oxygen, by weight, should you request for the mixtures in your tanks? The
partial pressure of a gas in a mixture is the pressure the gas would have if it existed by itself in the same volume. Dalton's law of partial pressures tells us that the total pressure of a mixture of gases is equal to the sum of the partial pressures of the individual gases.
(The density of seawater is 1,030 kg/m³. Assume the air pressure at sea level is 1 atm.)
WHe
= 0.77
Wo2
Find the ratio of numbers of molecules for the two gases first, demanding that the oxygen…
You have completed several dives using SCUBA apparatus and are ready for a deep dive in seawater. You have arranged to have tanks of heliox prepared for your
dive. Heliox is a mixture of helium and oxygen. Oxygen at pressures much greater than 1 atm is toxic to lung cells, so you want to keep the partial pressure of
oxygen from your diving equipment at 1 atm or less during your dive. You will be diving at a depth of h = 51.8 m. What ratio of helium to oxygen, by weight,
should you request for the mixtures in your tanks? The partial pressure of a gas in a mixture is the pressure the gas would have if it existed by itself in the same
volume. Dalton's law of partial pressures tells us that the total pressure of a mixture of gases is equal to the sum of the partial pressures of the individual gases.
(The density of seawater is 1,030 kg/m³. Assume the air pressure at sea level is 1 atm.)
WHE
W02
A deep-sea diver should breathe a gas mixture that has the same oxygen partial pressure as at sea level, where dry air contains 20.9% oxygen and has a total pressure of 1.01 X 105 N/m2. (a) What is the partial pressure of oxygen at sea level? (b) If the diver breathes a gas mixture at a pressure of 2.00 X 106 N/m2, what percent oxygen should it be to have the same oxygen partial pressure as at sea level?
Chapter 21 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
Ch. 21.1 - Two containers hold an ideal gas at the same...Ch. 21.2 - (i) How does the internal energy of an ideal gas...Ch. 21.3 - Prob. 21.3QQCh. 21.3 - Prob. 21.4QQCh. 21 - Prob. 1OQCh. 21 - Prob. 2OQCh. 21 - Prob. 3OQCh. 21 - Prob. 4OQCh. 21 - Prob. 5OQCh. 21 - Prob. 6OQ
Ch. 21 - Prob. 7OQCh. 21 - Prob. 8OQCh. 21 - Prob. 9OQCh. 21 - Prob. 1CQCh. 21 - Prob. 2CQCh. 21 - Prob. 3CQCh. 21 - Prob. 4CQCh. 21 - Prob. 5CQCh. 21 - Prob. 6CQCh. 21 - Prob. 7CQCh. 21 - Prob. 1PCh. 21 - Prob. 2PCh. 21 - Prob. 3PCh. 21 - Prob. 4PCh. 21 - A spherical balloon of volume 4.00 103 cm3...Ch. 21 - A spherical balloon of volume V contains helium at...Ch. 21 - A 2.00-mol sample of oxygen gas is confined to a...Ch. 21 - Prob. 8PCh. 21 - Prob. 9PCh. 21 - Prob. 10PCh. 21 - A 5.00-L vessel contains nitrogen gas at 27.0C and...Ch. 21 - A 7.00-L vessel contains 3.50 moles of gas at a...Ch. 21 - In a period of 1.00 s, 5.00 1023 nitrogen...Ch. 21 - In a constant-volume process, 209 J of energy is...Ch. 21 - Prob. 15PCh. 21 - Prob. 16PCh. 21 - Prob. 17PCh. 21 - A vertical cylinder with a heavy piston contains...Ch. 21 - Calculate the change in internal energy of 3.00...Ch. 21 - Prob. 20PCh. 21 - Prob. 21PCh. 21 - A certain molecule has f degrees of freedom. Show...Ch. 21 - Prob. 23PCh. 21 - Why is the following situation impossible? A team...Ch. 21 - Prob. 25PCh. 21 - Prob. 26PCh. 21 - During the compression stroke of a certain...Ch. 21 - Prob. 28PCh. 21 - Air in a thundercloud expands as it rises. If its...Ch. 21 - Prob. 30PCh. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - Prob. 34PCh. 21 - Prob. 35PCh. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 38PCh. 21 - Prob. 39PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - Prob. 42PCh. 21 - Prob. 43PCh. 21 - Prob. 44APCh. 21 - Prob. 45APCh. 21 - The dimensions of a classroom are 4.20 m 3.00 m ...Ch. 21 - The Earths atmosphere consists primarily of oxygen...Ch. 21 - Prob. 48APCh. 21 - Prob. 49APCh. 21 - Prob. 50APCh. 21 - Prob. 51APCh. 21 - Prob. 52APCh. 21 - Prob. 53APCh. 21 - Prob. 54APCh. 21 - Prob. 55APCh. 21 - Prob. 56APCh. 21 - Prob. 57APCh. 21 - In a cylinder, a sample of an ideal gas with...Ch. 21 - As a 1.00-mol sample of a monatomic ideal gas...Ch. 21 - Prob. 60APCh. 21 - Prob. 61APCh. 21 - Prob. 62APCh. 21 - Prob. 63APCh. 21 - Prob. 64APCh. 21 - Prob. 65APCh. 21 - Prob. 66APCh. 21 - Prob. 67APCh. 21 - Prob. 68APCh. 21 - Prob. 69APCh. 21 - Prob. 70APCh. 21 - Prob. 71APCh. 21 - Prob. 72APCh. 21 - Prob. 73APCh. 21 - Prob. 74CPCh. 21 - Prob. 75CP
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- For divers going to great depths, the composition of the air in the tank must be modified. The ideal composition is to have approximately the same number of O2 molecules per unit volume as in surface air (to avoid oxygen poisoning), and to use helium instead of nitrogen for the remainder of the gas (to avoid nitrogen narcosis, which results from nitrogen dissolving in the bloodstream). Of the molecules in dry surface air, 78.0% are N2, 21.0% are O2, and 1.00% are Ar. (Assume that the density of seawater is 1025 kg/m3 and the temperature is 20.0°C.) Density of dry air at 20.0°C is 1.20 kg/m3. Molar mass of N2 is 14.007 g/mol, O2 is 15.999 g/mol, and Ar is 39.948 g/mol. For a diver going to a depth of 141 m, what percentage of the gas molecules in the tank should be O2?arrow_forwardThe partial pressure of oxygen in the lungs is about 150 mm of Hg. (The partial pressure is the pressure of the oxygen alone, if all other gases were removed.) This corresponds to a concentration of 5.3 × 1024 molecules per m3. In the oxygen-depleted blood entering the pulmonary capillaries, the concentration is 1.4 × 1024 molecules per m3. The blood is separated from air in the alveoli of the lungs by a 1-μm-thick membrane. What is the rate of transfer of oxygen to the blood through the 5 × 10-9 m2 surface area of one alveolus? Give your answer in both molecules/s and μmol/s. Assume The diffusion coefficient for oxygen in tissue is 2 × 10-11 m2/s. What is the same rate of transfer in μmol/s. Give your answer to 1 significant figure.arrow_forwardIn the lungs, the respiratory membrane separates tiny sacs of air (absolute pressure=1.00x105 Pa) from the blood in the capillaries. These sacs are called alveoli, and it is from them that oxygen enters the blood. The average radius of the alveoli is 0.125 mm, and the air inside contains 14% oxygen, which is somewhat smaller amount than in fresh air. Assuming that the air behaves as an ideal gas at body temperature (310 K), find the number of oxygen molecules in one of the sacs.arrow_forward
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