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If C(1), C(2), C(3) ….. represent the sp...

If `C_(1), C_(2), C_(3) …..` represent the speeds on `n_(1), n_(2) , n_(3)…..` molecules, then the root mean square speed is

A

`(n_(1)C_(1)^(2)+n_(2)C_(2)^(2)+n_(3)C_(3)^(2)+cdots)/(n_(1)+n_(2)+n_(3)+cdots)`

B

`(n_(1)C_(1)^(2)+n_(2)C_(2)^(2)+n_(3)C_(3)^(2)+cdots)^(1//2)/(n_(1)+n_(2)+n_(3)+cdots)`

C

`(n_(1)C_(1)^(2))^(1//2)/(n_(1))+(n_(2)C_(2)^(2))^(1//2)/(n_(2))+(n_(3)C_(3)^(2))^(1//2)/(n_(3))+cdots`

D

`[(n_(1)C_(1)+n_(2)C_(2)+n_(3)C_(3)+cdots)^(2)/((n_(1)+n_(2)+n_(3)+cdots)]]^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
By definition u = `sqrt(n_(1)C_(1)^(2)+n_(2)C_(2)^(2)+cdots)/(n_(1)+n_(2))`
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MARVEL PUBLICATION-STATES OF MATTER : GASES AND LIQUIDS -Kinetic Theroy - Molecule Speeds
  1. When a gas is compressed as constant temperature:

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  2. According to kinetic theory of gases the root mean square velocity is ...

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  3. Which one of the following relationship is correct ?

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  4. Which of the following is correct relation for root mean square veloci...

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  5. The ratio of root mean square velocity of average velocity of a gas mo...

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  6. Which of the following is valid at absolute zero ?

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  7. The rms speed at NTP of a gas can be calculated from the expression:

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  8. Root mean square velocity of a gas molecule is proprotional to

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  9. The ratio among most probable velocity, mean velocity and root mean ve...

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  10. If C(1), C(2), C(3) ….. represent the speeds on n(1), n(2) , n(3)….. m...

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  11. Internal energy and pressure of a gas per unit vloume are related as :

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  12. The root mean square velocity of an ideal gas to constant pressure var...

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  13. Collision frequency (Z) of a gas at a particular pressure

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  14. The integrated form of Clausius-Clapeyron equation is

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  15. The Clausius-Clapeyron equation depics

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  16. At what temperature will the rms velocity of SO(2) be the same as that...

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  17. The root mean square velocity of one mole of a monoatomic gas having m...

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  18. If a gas expands at constant temperature, it indicates that

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