If 1.2 mol of oxygen gas is confined in a 10-L bottle under a pressure of 3.0 atm , what is the average translational kinetic energy of an oxygenmolecule?Express your answer using two significant figures.Hν ΑΣφк-JSubmitRequest Answer

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Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 38P

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(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.
(a) In the deep space between galaxies, me density of atoms is as low as 106atoms/m3, and me temperature is a frigid 2.7 K. What is me pressure? (b) What volume (in m3) is occupied by 1 mol of gas? (c) If this volume is a cube, what is the length of its sides in kilometers?
(a) Given that air is 21% oxygen, find the minimum atmospheric pressure that gives a relatively safe partial pressure of oxygen of 0.16 atm. (b) What is the minimum pressure that gives a partial pressure of oxygen above the quickly fatal level of 0.06 atm? (c) The air pressure at the summit of Mount Everest (8848 m) is 0.334 atm. Why have a few people climbed it without oxygen, while some who have tried, even though they had trained at high elevation, had to tum back?
On a hot summer day, the density of air at atmospheric pressure at 35.0C is 1.1455 kg/m3. a. What is the number of moles contained in 1.00 m3 of an ideal gas at this temperature and pressure? b. Avogadros number of air molecules has a mass of 2.85 102 kg. What is the mass of 1.00 m3 of air? c. Does the value calculated in part (b) agree with the stated density of air at this temperature?
The average translational kinetic energy for a molecule (Erans) is given by the following equation: Etrans =mv? Where m is the mass of the molecule and v? is the average of the square of the velocity. Given v2 = 3kT/m where k is the Boltzmann's constant, calculate the ratio of the kinetic energies at 200 °C and 100 °C
The viscosity (η) of a gas depends on its mass, effective diameter, and average molecular velocity of the gas. Estimate the effective diameter of the methane molecule (CH4) if the η value for helium is ηHe = 2.0 × 10−5 kg / ms and methane is ηCH4 = 1.1 × 10−5 kg / ms at room temperature, and the effective diameter helium is dHe = 2.1 × 10−10 m! A. 2 x 10-8 m B. 4 x 10-10 m C. 2 x 10-10 m D. 4 x 10-8 m
Q: Atmospheric pressure on the peak of Kilimanjaro can be as low as 0.20 atm. If the volume of an oxygen tank is 10.0L, at what pressure must the tank be filled so the gas inside would occupy a volume of 1.2 x 103L at this pressure?
Helium atoms have a mass of 4u and oxygen molecules have a mass of 32u, where u is defined as an atomic mass unit (u=1.660540×10−27 kg). Compare a gas of helium atoms to a gas of oxygen molecules. Part A: At what gas temperature TE would the average translational kinetic energy of a helium atom be equal to that of an oxygen molecule in a gas of temperature 300 K? Part B: At what gas temperature Trms would the root-mean-square (rms) speed of a helium atom be equal to that of an oxygen molecule in a gas at 300 K?
A 2.0-cmcm-diameter, 0.50-mmmm-thick spherical plastic shell holds carbon dioxide at 2.0 atm pressure and 25•C. CO2 molecules diffuse out of the shell into the surrounding air, where the carbon dioxide concentration is essentially zero. The diffusion coefficient of carbon dioxide in the plastic is 2.5x10-12 m2/s. a. What is the diffusion rate in molecules/s of carbon dioxide out of the shell? Express your answer in molecules per second. b. If the rate from part A is maintained, how long in hours will it take for the carbon dioxide pressure to decrease to 1.0 atm? The actual rate slows with time as the concentration difference decreases, but assuming a constant rate gives a reasonable estimate of how long the shel will contain the carbon dioxide. Express answer in hours.
Two containers hold an ideal gas at the same temperature and pressure. Both containers hold the same type of gas but container B has twice the volume of container A. The average translational kinetic energy per molecule in container B is?
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?
Let 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…

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If 1.2 mol of oxygen gas is confined in a 10-L bottle under a pressure of 3.0 atm , what is the average translational kinetic energy of an oxygen molecule? Express your answer using two significant figures. Hν ΑΣφ к- J Submit Request Answer