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For gas at a temperature T the root-mean...

For gas at a temperature `T` the root-mean-square speed `v_(rms)`, the most probable speed `v_(mp)`, and the average speed `v_(av)` obey the relationship

A

`v_(av)ltv_(mp)ltv_(rms)`

B

`v_(av)ltv_(rms)ltv_(mp)`

C

`v_(mp)ltv_(av) ltv_(rms)`

D

`v_(av)lt v_(rms) ltv_(mp)`

Text Solution

Verified by Experts

The correct Answer is:
C
`v_(rms)propsqrt((3RT)/M)'v_(av)=sqrt((8RT)/(piM))andv_(p)=sqrt((2RT)/M)`
`therefore" " v_(rms)gtv gt v_(p)`
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DC PANDEY ENGLISH-THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES-Check point 14.3
  1. Which one of the following is not an assumption in the kinetic theory ...

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  2. Vapor is injected at a uniform rate in a closed vessel which was initi...

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  3. The average velocity of molecules of a gas of molecular weight (M) at ...

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  4. For gas at a temperature T the root-mean-square speed v(rms), the most...

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  5. The average kinetic energy of a gas molecule is

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  6. KE per unit volume is E. The pressure exerted by the gas is given by

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  7. If at the same temperature and pressure, the densities of two diatomic...

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  8. Two vessels A and B having equal volume contain equal masses of hydrog...

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  9. A vessel contains 1 mole of O(2) gas (molar mass 32) at a temperature ...

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  10. What will be the temperature when the rms velocity is double of that a...

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  11. By what factor the rms velocity will change, if the temperature is rai...

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  12. The velocities of three molecules are 3v, 4v and 5v. Calculate their r...

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  13. The temperature at which the root mean squres speed of a gas will be h...

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  14. Four molecules of gas have speeds 1,2,3 and 4 km//s.The value of the r...

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  15. A sealed container with negiligible coefficient of volumetric expansio...

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  16. The gases carbon-monoxide (CO) and nitrogen at the same temperature ha...

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  17. Pressure of an ideal gas is increased by keeping temperature constant....

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  18. Some gas at 300K is enclosed in a container. Now the container is plac...

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  19. The root-mean-square (rms) speed of oxygen molecules (O(2)) at a certa...

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  20. The molecules of a given mass of a gas have rms velocity of 200 m//s a...

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