
Concept explainers
(a)
The most probable speed, average speed and rms speed for the oxygen gas.
(a)

Answer to Problem 27PQ
The most probable speed of oxygen gas is
Explanation of Solution
Write the expression for the most probable speed of gas molecules.
Here,
Write the expression for the average speed of gas molecules.
Here,
Write the expression for the rms speed of gas molecules.
Here,
Conclusion:
The mass of oxygen molecule is
Convert mass
Convert
Substitute
Substitute
Substitute
Therefore, the most probable speed of oxygen gas is
(b)
The most probable speed, average speed and rms speed for the nitrogen gas.
(b)

Answer to Problem 27PQ
The most probable speed of nitrogen gas is
Explanation of Solution
Rewrite equations from part(a).
Write the expression for the most probable speed of gas molecules.
Here,
Write the expression for the most average speed of gas molecules.
Here,
Write the expression for the rms speed of gas molecules.
Here,
Conclusion:
The mass of oxygen molecule is
Convert mass
Substitute
Substitute
Substitute
Therefore, the most probable speed of nitrogen gas is
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Chapter 20 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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