COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 14, Problem 67QAP
To determine
The mean free path for helium in the chamber.
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The escape speed from the Earth is 1.12 x 104 m/s so thata gas molecule traveling away from Earth near the outerboundary of the Earth’s atmosphere would, at this speed,be able to escape from the Earth’s gravitational field and belost to the atmosphere. At what temperature is the rmsspeed of (a) oxygen molecules, and (b) helium atomsequal to 1.12 x104 m/s (c) Can you explain why ouratmosphere contains oxygen but not helium?
Hi, could I get some help with this micro-macro connection physics problem involving root mean square speed?
The set up is:
What is the rms speed (in m/s) of a helium-3 atom in an ideal gas at a room temperature of 300 kelvin (K) to 4 digits of precision if kB = 1.38e-23 J/K, and the mass of helium-3 is 3.016 u, where the atomic mass unit u = 1.66e-27 kg?
Thank you.
Hi, could I get some help with this micro-macro connection physics problem involving root mean square speed?
The set up is:
For an atom in an ideal gas with rms speed in one direction, vx = 100 m/s, and mass m = 6.66e-27 kg, what is the temperature T in kelvin (K) to four digits of precision if Boltzman constant kB = 1.38e-23 J/K?
Thank you.
Chapter 14 Solutions
COLLEGE PHYSICS
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Determine how many times per second each molecule moving with rms speed would move back and forth across a 6.4 mm -long room on the average, assuming it made very few collisions with other molecules.To find vx use the equation v2=v2x+v2y+v2z and the fact that molecules have no preferred direction. vrms= 473 m/sarrow_forwardSuppose you are in a room that is at a temperature of 293.02K. What is the approximate RMS velocity of an O2 molecule in this room (in units of meters per second)?arrow_forwardSo each four dot shows four different states for an ideal gas. P is the pressure and the other one is the density of the gas. Is temperature of state 1 less or greater than the state 2? Can you please explain why?arrow_forward
- It might seem more natural to give the average speed rather than vrms, but vrms followsmore directly from specific equations. To compute the root of the mean of the squares(rms speed), we square each molecular speed, add, divide by the number of molecules,and take the square root to get vrms.Five gas molecules have speeds of 500, 600, 700, 800, and 900 m/s. Find the gasmolecule’s rms speed and the average speedarrow_forwardThe atomic and molecular rms speeds of gases, vrms, are usually quite large, even at low temperatures. What is vrms, in meters per second, for helium atoms at 4.95 K (which is close to the point of liquefaction)?arrow_forwardAssume you are using the attached pressure gauge and a thermocouple with a temperature uncertainty of +/- 1C; assuming ideal gas how accurately can you report the molar volume n/V=RT/P?arrow_forward
- Calculate the root-mean-square (rms) speed of methane (CH4) gas molecules at a temperature of 325 K.arrow_forwardIn the simple kinetic theory of a gas we discussed in class, the molecules are assumed to be point-like objects (without any volume) so that they rarely collide with one another. In reality, each molecule has a small volume and so there are collisions. Let's assume that a molecule is a hard sphere of radius r. Then the molecules will occasionally collide with each other. The average distance traveled between two successive collisions (called mean free path) is λ = V/(4π √2 r2N) where V is the volume of the gas containing N molecules. Calculate the mean free path of a H2 molecule in a hydrogen gas tank at STP. Assume the molecular radius to be 10-10 a) 2.1*10-7 m b) 4.2*10-7 m c) none of these.arrow_forwardAverage atomic and molecular speed ( v rms) are large, even at low temperatures. What is v rms (in m/s) for helium atoms at 8.00 K, just four degrees above helium's liquefaction temperature?arrow_forward
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