(a) How many O2 molecules per cubic meter are there in surface air at 20.0 degrees Celsius and 1.00 atm?(b) For a diver going to a depth of 118 m, what percentage of the gas molecules in the tank should be O2 ? Required informationFor divers going to great depths, the composition of the air in the tank must be modified. The ideal composition isto have approximately the same number of O2 molecules per unit volume as in surface air (to avoid oxygenpoisoning), and to use helium instead of nitrogen for the remainder of the gas (to avoid nitrogen narcosis, whichresults from nitrogen dissolving in the bloodstream). Of the molecules in dry surface air, 78.0% are N2, 21.0% are(3.02, and 1.00% are Ar. (Assume that the density of seawater is 1025 kg/m³ and the temperature is 20.0°C.) Densityof dry air at 20.0°C is 1.20 kg/m. Molar mass of N2 is 14.007 g/mol, 02 is 15.999 g/mol, and Ar is 39.948 g/mol.(See Table B.7)How many 0, molecules per cubic meter are there in surface air at 20.0°C and 1.00 atm?-33. Required informationFor divers going to great depths, the composition of the air in the tank must be modified. The ideal composition isto have approximately the same number of 02 molecules per unit volume as in surface air (to avoid oxygenpoisoning), and to use helium instead of nitrogen for the remainder of the gas (to avoid nitrogen narcosis, whichresults from nitrogen dissolving in the bloodstream). Of the molecules in dry surface air, 78.0% are N2, 21.0% are02, and 1.00% are Ar. (Assume that the density of seawater is 1025 kg/m and the temperature is 20.0°C.) Densityof dry air at 20.0°C is 1.20 kg/m. Molar mass of N2 is 14.007 g/mol, O2 is 15.999 g/mol, and Ar is 39.948 g/mol.(See Table B.7.)For a diver going to a depth of 118 m, what percentage of the gas molecules in the tank should be 0,?

Answered: Image /qna-images/answer/054c3284-f37d-4465-b094-43052a3da53c.jpg

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 02, and 1.00% are Ar. (Assume that the density of seawater is 1025 kg/m 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. (See Table B.7.)

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 02, and 1.00% are Ar. (Assume that the density of seawater is 1025 kg/m 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. (See Table B.7.)

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 64P: Professional divas sometimes use heliox, consisting of 79% helium and 21% oxygen by mole. Suppose a...

See similar textbooks

Similar questions

What is the total translational kinetic energy of the air molecules in a room of volume 23 m3 if the pressure is 9.5104 Pa (the room is at fairly high elevation) and die temperature is 21 ? Is any item of data unnecessary for the solution?
Assuming the human body is primarily made of water, estimate the number of molecules in it. (Note that water has a molecular mass of 18 g/mol and there are roughly 1024 atoms in a mole)
Using a numerical integration method such as Simpson's rule, find the fraction of molecules in a sample of oxygen gas at a temperature of 250 K that have speeds between 100 m/s and 150 m/s. The molar mass of oxygen (O2) is 32.0 g/mol. A precision to two significant digits is enough.
If one kind of molecule has double the radius of another and eight times the mass, how do their mean free paths under the same conditions compare? How do their mean free times compare?
One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of about 14,0 mol/m3 and a temperature of about 60 . (a) Is CO2 a solid, liquid, gas, or supercritical fluid under those conditions? (b) The van der Waals constants for carbon dioxide are a=0.3658 Pa m6/mol2 and b=4.286105 m3/mol. Using the van der Waals equation, estimate pressure of CO2 at that temperature and density. `
The mean free path for methane at a temperature of 269 K and a pressure of 1.11105 Pa is 4.81108 m. Find the effective radius r of the methane molecule.
There are two important isotopes of uranium, U235 and U238 ; these isotopes are nearly identical chemically but have different atomic masses. Only U235 is very useful in nuclear reactors. Separating the isotopes is called uranium enrichment (and is often in the news as of this writing, because of concerns that some countries are enriching uranium with the goal of making nuclear weapons.) One of the techniques for enrichment, gas diffusion, is based on the different molecular speeds of uranium hexafluoride gas, UF6 . (a) The molar masses of U235 and U238F6 are 349.0 g/mol and 352.0 g/mol, respectively. What is the ratio of their typical speeds vrms ? (b) At what temperature would their typical speeds differ by 1.00 m/s? (c) Do your answers in this problem imply that this technique may be difficult?
Professional divas sometimes use heliox, consisting of 79% helium and 21% oxygen by mole. Suppose a perfectly rigid scuba tank with a volume of 11 L contains heliox at an absolute pressure of 2.1107 Pa at a temperature of 31 . (a) How many moles of helium and how many moles of oxygen are in the tank? (b) The diver goes down to a point where the sea temperature is 27 while using a negligible amount of the mixture. As the gas in the tank reaches this new temperature, how much heat is removed from it?
Find the number of moles in 2.00L of gas at 35.0C and under 7.41107N/m2 of pressure.
A deep-sea diver should breathe a gas mixture that has the same oxygen partial pressure as at sea level, where dryair contains 20.9% oxygen and has a total pressure of 1.01×105 N/m2. (a) What is the partial pressure of oxygenat sea level? (b) If the diver breathes a gas mixture at a pressure of 2.00×106 N/m2, what percent oxygen shouldit be to have the same oxygen partial pressure as at sea level?
What is the total translational kinetic energy of the air molecules in a room of volume 23 m3 if the pressure is 9.5 × 104 Pa (the room is at fairly high elevation) and the temperature is 21 °C ? Is any item of data unnecessary forthe solution?
Methane, which constitutes the majority of natural gas, is sometimes stored in condensation tanks in an oil and gas field. If the vaporirzed methane above the liquid is at a temperature of 28.9˚C on a hot summer day with a density of 2.05 kg/m3, at what pressure in Pascals would the gas be? The specific gas constant for methane is 518 J/(kg K).