The law of atmospheres states that the number density of molecules in the atmosphere depends on height y above sea level according to where n, is the number density at sea level (where y = 0). The average height of a molecule in the Earth's atmosphere is given by | yn, (1) dy ye D/,T dy avg |n,G) dy eD/A,T dy (a) Prove that this average height is equal to kT/m,g. (b) Evaluate the average height, assuming the temperature is 10.0°C and the molecular mass is 28.9 u, both uniform throughout the atmosphere.
The law of atmospheres states that the number density of molecules in the atmosphere depends on height y above sea level according to where n, is the number density at sea level (where y = 0). The average height of a molecule in the Earth's atmosphere is given by | yn, (1) dy ye D/,T dy avg |n,G) dy eD/A,T dy (a) Prove that this average height is equal to kT/m,g. (b) Evaluate the average height, assuming the temperature is 10.0°C and the molecular mass is 28.9 u, both uniform throughout the atmosphere.
Chapter2: The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 85AP: The mean flee path for helium at a certain temperature and pressure is 2.10107 m. The radius of a...
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![The law of atmospheres states that the number density of
molecules in the atmosphere depends on height y above sea
level according to
where n, is the number density at sea level (where y = 0).
The average height of a molecule in the Earth's atmosphere
is given by
| yn, (1) dy
ye D/,T dy
avg
|n,G) dy
eD/A,T dy
(a) Prove that this average height is equal to kT/m,g. (b)
Evaluate the average height, assuming the temperature
is 10.0°C and the molecular mass is 28.9 u, both uniform
throughout the atmosphere.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faad76de0-4e73-41a7-93b4-333688f5f734%2F570fdce3-4255-4ca8-b032-a3ead84eca4d%2Fxkdltdk.png&w=3840&q=75)
Transcribed Image Text:The law of atmospheres states that the number density of
molecules in the atmosphere depends on height y above sea
level according to
where n, is the number density at sea level (where y = 0).
The average height of a molecule in the Earth's atmosphere
is given by
| yn, (1) dy
ye D/,T dy
avg
|n,G) dy
eD/A,T dy
(a) Prove that this average height is equal to kT/m,g. (b)
Evaluate the average height, assuming the temperature
is 10.0°C and the molecular mass is 28.9 u, both uniform
throughout the atmosphere.
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