4. Two different gas samples have the same temperature. One of the samples consists of dry air. The other consists of water vapor. Assuming m/N is the same in both cases, which gas has the higher RMS velocity? Explain.
4. Two different gas samples have the same temperature. One of the samples consists of dry air. The other consists of water vapor. Assuming m/N is the same in both cases, which gas has the higher RMS velocity? Explain.
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Question 4! This is applied
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BACKGROUND ON RMS IS BELOW
![3.4. Temperature
The relationship described by (3.29) is another way of stating a condition, originally recognized by Fowlert in 1939, and
now called the Zeroth Law of Thermodynamics: Two objects in thermal equilibrium with a third object must also be in
thermal equilibrium with each other. From here a somewhat circular definition of temperature can be stated, which is
that temperature is the property of an object that determines whether it is in thermal equilibrium with other objects.
Temperature can also be defined by appealing to an equilibrium relation that states:
m{v)²
3
- NkT
(3.3
0)
(v)
is the root-mean-square (RMS) speed of the random molecular motion of
where mis the total mass of the object [kg],
the molecules in the substance of the object [m/s], Nis the total number of particles in the object, kis Boltzmann's Constant
(1.38 x 10-23 [J/(particle K)]), and Tis the object's thermodynamic (or equilibrium) temperature [K]. A parcel of air where
(3.30) applies is in thermodynamic equilibrium, which is a state where no mechanical, chemical, or thermal changes
occur.7 This is a reasonable approximation for air parcels below the turbopause – that is, within about 100 km of the Earth's
surface.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87f8d956-6975-416d-a74b-dc6a19e6b8b7%2Fe37a89c9-15b2-4305-b1ad-17300434a780%2Fla075s_processed.png&w=3840&q=75)
Transcribed Image Text:3.4. Temperature
The relationship described by (3.29) is another way of stating a condition, originally recognized by Fowlert in 1939, and
now called the Zeroth Law of Thermodynamics: Two objects in thermal equilibrium with a third object must also be in
thermal equilibrium with each other. From here a somewhat circular definition of temperature can be stated, which is
that temperature is the property of an object that determines whether it is in thermal equilibrium with other objects.
Temperature can also be defined by appealing to an equilibrium relation that states:
m{v)²
3
- NkT
(3.3
0)
(v)
is the root-mean-square (RMS) speed of the random molecular motion of
where mis the total mass of the object [kg],
the molecules in the substance of the object [m/s], Nis the total number of particles in the object, kis Boltzmann's Constant
(1.38 x 10-23 [J/(particle K)]), and Tis the object's thermodynamic (or equilibrium) temperature [K]. A parcel of air where
(3.30) applies is in thermodynamic equilibrium, which is a state where no mechanical, chemical, or thermal changes
occur.7 This is a reasonable approximation for air parcels below the turbopause – that is, within about 100 km of the Earth's
surface.
Transcribed Image Text:4. Two different gas samples have the same temperature. One of the samples consists
of dry air. The other consists of water vapor. Assuming m/N is the same in both cases,
which gas has the higher RMS velocity? Explain.
Expert Solution
Step 1
Two gas samples have the same temperature.
Let us take a first gas sample name is G1
Let us take a first gas sample name is G2
Let us take both temperature is same and it is T
G1 is dry air
G2 is water vapour
m/N IS THE SAME FOR BOTH G1 AND G2.
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