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If at the same temperature and pressure, the densities of two diatomic gases are `d_(1)` and `d_(2)` respectively. The ratio of mean kinetic energy permolecule of gasses will be

A

`1:1`

B

`d_(1):d_(2)`

C

`sqrt(d_(1)):sqrt(d_(2))`

D

`sqrt(d_(2)):sqrt(d_(1))`

Text Solution

Verified by Experts

The correct Answer is:
A

At a given temperature (T) all the idela gas mlecules no matter what their masses have the same average translational kinetic energy.
`i.e.," "E=3/2kT`
So, E does not depend upon density (as mass = pV)
`" " (E_(1))/(E_(2))=1:1`
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DC PANDEY-THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES-Check point 14.3
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  2. A closed vessel is maintained at a constant temperture. It is first ev...

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  3. The average speedof lulecules in a gas is given by

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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 enrergy 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 s rais...

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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 ags have speeds 1,2,3 and 4 km//s.The volue 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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