Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 16, Problem 59P
To determine
The ratio of weight of helium to oxygen used if the diver is at an ocean depth of
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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 ✕ 105 N/m2.
(a)
What is the partial pressure (in N/m2) of oxygen at sea level?
(b)
If the diver breathes a gas mixture at a pressure of 1.50 ✕ 106 N/m2, what percent oxygen should it be to have the same oxygen partial pressure as at sea level?
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 1.01×105 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 2.00×106 N/m2 , what percent oxygen should it be to have the same oxygen partial pressure as at sea level?
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 16 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 16.2 - Consider the following pairs of materials. Which...Ch. 16.3 - Prob. 16.2QQCh. 16.4 - A common material for cushioning objects in...Ch. 16.4 - Prob. 16.4QQCh. 16.5 - Two containers hold an ideal gas at the same...Ch. 16.6 - Prob. 16.6QQCh. 16 - Prob. 1OQCh. 16 - A cylinder with a piston holds 0.50 m3 of oxygen...Ch. 16 - A hole is drilled in a metal plate. When the metal...Ch. 16 - When a certain gas under a pressure of 5.00 106...
Ch. 16 - Prob. 5OQCh. 16 - Prob. 6OQCh. 16 - What would happen if the glass of a thermometer...Ch. 16 - Prob. 8OQCh. 16 - A gas is at 200 K. If we wish to double the rms...Ch. 16 - Prob. 10OQCh. 16 - Prob. 11OQCh. 16 - A rubber balloon is filled with 1 L of air at 1...Ch. 16 - Prob. 13OQCh. 16 - An ideal gas is contained in a vessel at 300 K....Ch. 16 - Prob. 15OQCh. 16 - Prob. 16OQCh. 16 - Prob. 17OQCh. 16 - A sample of gas with a thermometer immersed in the...Ch. 16 - Prob. 19OQCh. 16 - Prob. 1CQCh. 16 - Prob. 2CQCh. 16 - Prob. 3CQCh. 16 - A piece of copper is dropped into a beaker of...Ch. 16 - Prob. 5CQCh. 16 - Prob. 6CQCh. 16 - Prob. 7CQCh. 16 - Prob. 8CQCh. 16 - Prob. 9CQCh. 16 - Prob. 10CQCh. 16 - Prob. 11CQCh. 16 - Prob. 12CQCh. 16 - Prob. 13CQCh. 16 - Prob. 1PCh. 16 - Convert the following to equivalent temperatures...Ch. 16 - Prob. 3PCh. 16 - Prob. 4PCh. 16 - Prob. 5PCh. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - A sample of a solid substance has a mass m and a...Ch. 16 - Each year thousands of children are badly burned...Ch. 16 - Prob. 12PCh. 16 - Prob. 13PCh. 16 - Prob. 14PCh. 16 - The active element of a certain laser is made of a...Ch. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - Prob. 18PCh. 16 - Prob. 19PCh. 16 - Prob. 20PCh. 16 - Prob. 21PCh. 16 - Prob. 22PCh. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - Prob. 28PCh. 16 - The mass of a hot-air balloon and its cargo (not...Ch. 16 - Prob. 30PCh. 16 - A popular brand of cola contains 6.50 g of carbon...Ch. 16 - Prob. 32PCh. 16 - At 25.0 m below the surface of the sea, where the...Ch. 16 - To measure how far below the ocean surface a bird...Ch. 16 - Prob. 35PCh. 16 - Prob. 36PCh. 16 - Prob. 37PCh. 16 - Prob. 38PCh. 16 - Prob. 39PCh. 16 - A cylinder contains a mixture of helium and argon...Ch. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - Prob. 43PCh. 16 - (a) How many atoms of helium gas fill a spherical...Ch. 16 - Fifteen identical particles have various speeds:...Ch. 16 - From the MaxwellBoltzmann speed distribution, show...Ch. 16 - Prob. 47PCh. 16 - Helium gas is in thermal equilibrium with liquid...Ch. 16 - Prob. 49PCh. 16 - Prob. 50PCh. 16 - Prob. 51PCh. 16 - Prob. 52PCh. 16 - A mercury thermometer is constructed as shown in...Ch. 16 - A liquid with a coefficient of volume expansion ...Ch. 16 - A clock with a brass pendulum has a period of...Ch. 16 - A vertical cylinder of cross-sectional area A is...Ch. 16 - Prob. 57PCh. 16 - Prob. 58PCh. 16 - Prob. 59PCh. 16 - The rectangular plate shown in Figure P16.60 has...Ch. 16 - In a chemical processing plant, a reaction chamber...Ch. 16 - Prob. 62PCh. 16 - Prob. 63PCh. 16 - Two concrete spans that form a bridge of length L...Ch. 16 - A 1.00-km steel railroad rail is fastened securely...Ch. 16 - Prob. 66PCh. 16 - Prob. 67PCh. 16 - Prob. 68PCh. 16 - Consider an object with any one of the shapes...Ch. 16 - Prob. 70PCh. 16 - Prob. 71PCh. 16 - Prob. 72PCh. 16 - Prob. 73PCh. 16 - A cylinder that has a 40.0-cm radius and is 50.0...Ch. 16 - Prob. 75P
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- A cylinder with a piston holds 0.50 m3 of oxygen at an absolute pressure of 4.0 atm. The piston is pulled outward, increasing the volume of the gas until the pressure drops to 1.0 atm. If the temperature stays constant, what new volume does the gas occupy? (a) 1.0 m3 (b) 1.5 m3 (c) 2.0 m3 (d) 0.12 m3 (e) 2.5 m3arrow_forward(a) Show that the density of an ideal gas occupying a volume V is given by = PM/KT, where M is the molar mass. (b) Determine the density of oxygen gas at atmospheric pressure and 20.0C.arrow_forwardYou 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…arrow_forward
- 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 W02arrow_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_forwardFor 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_forward
- In 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_forwardProblem 3. A rigid tank contains 38.0 kg of O2 gas at a pressure of 9.70 atm. If the oxygen is replaced by helium, how many kilogram of helium will be needed to produce a pressure of 8.00 atm?arrow_forwardA hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2660 m3. What is the density of air inside the balloon, in terms of the pressure P, temperature T, molar mass M, and the gas constant R? How much mass can this balloon lift (in addition to the mass of the gas inside) in terms the balloon volume Vb, the atmosphere air density ρa, the density of the air in the balloon ρg, and the gravitational acceleration g? If the air temperature in the balloon is 62 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.arrow_forward
- In the lungs, a thin respiratory membrane separates tiny sacs of air from the blood in the capillaries at atmospheric pressure. These sacs are called alveoli (spherical shape), and it is from them that oxygen enters the blood. The diameter of the alveoli is 0.25 mm, and the air inside contains 14% oxygen. If the air behaves as an ideal gas at body temperature of 37 °C, find the number of oxygen molecules in one of the sacs?arrow_forwardLet us consider a bacterial cell that depends on chemical reactions using oxygen to produce energy. The cell needs to obtain molecular oxygen from the extra-cellular medium by diffusion through the cell membrane. We model the cell as a water-filled sphere of radius 1 µm. This means that we neglect the presence of the internal structures of the cell: nucleus, nutrients, etc. The oxygen diffusion coefficient (O2) in water at 25°C is 1.0x10-5 cm².s'. Figure 1: Transmission electron microscope Reminder: The distance travelled by diffusion can be picture of a bacterium. [from Wikipedia: written as L(t) = V6Dt, where D is the diffusion coefficient and t the diffusion time. "Transmission Electron Microscopy"| 2. Diffusion as a function of time People have measured the distance travelled by the oxygen molecule in water as a function of time. The results are given in the table below. 0.1 t(s) L (x10-“m) log1o(t) log10(L) 0.001 0.005 0.01 0.05 2.45 5.4 7.7 17.3 25.5 Draw the plot of L as a…arrow_forwardAssuming a total pressure of 9.5 X 105 Pa, what is the partial pressure of each component in the mixture of 98% helium and 2.0% oxygen breathed by deep-sea divers? How does the partial pressure of oxygen in diving gas compare with its partial pressure in normal air?arrow_forward
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