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The average velocity of molecules of a g...

The average velocity of molecules of a gas of molecular weight (M) at temperature (T) is

A

`sqrt((3p)/(p))`

B

`sqrt((gammap)/(p))`

C

`sqrt((2p)/(p))`

D

`sqrt((8p)/(pip))`

Text Solution

Verified by Experts

The correct Answer is:
D
Average speedof molecfule is the arithmetic mean of speed of molecules in a gas at given temperatures is
`v_(av)=(v_(1)+v_(2)+v_(3)+...)/N`
From kinetic theory of gases,
`sqrt((8p)/(pip))=sqrt((8RT)/(piM))=sqrt(8/(pi))=(KT)/M`
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DC PANDEY ENGLISH-THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES-Check point 14.3
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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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