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By what factor the rms velocity will cha...

By what factor the rms velocity will change, if the temperature s raised from `27^(@)C` to `327^(@)C`?

A

`sqrt2`

B

2

C

`sqrt2`

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
`T_(1)=273+27=300KrArrT_(2)=273+327=600K`
`" "T_(2)=2T_(1)` and `v_(rms) prop sqrtT`
`" " (v'_(rms))/(v'_(rms))=sqrt(T_(1)/T_(2))=sqrt(T_(1)/(2T_(1)))`
`rArr" "(v'_(rms))/(v'_(rms))=1/sqrt2rArrv'_(rms)=sqrt2v'_(rms)`
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DC PANDEY-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. 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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  20. The molecules of a given mass of a gas have rms velocity of 200 m//s a...

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