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Find the temperature at which oxygen mol...

Find the temperature at which oxygen molecules would have the same rms speed as of hydrogen molecules at `300 K`.

A

600 K

B

2400 K

C

1200 K

D

4800 K

Text Solution

Verified by Experts

The correct Answer is:
D
`C_("oxy") = sqrt((3RT_(OXY))/(M_(OXY))) = C_(H) = sqrt((3RT_(H))/(M_(H)))`
`:. (T_(OXY))/(M_(OXY)) = (T_H)/(M_H)`
`:. T_(OXY) = (T_H)/(M_H) xx M_(OXY) = (300 xx 32)/(2) = 4800K`.
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PRADEEP-BEHAVIOUR OF PERFECT GAS & KINETIC THEORY-Multiple choice questions-I
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  2. The average translational energy and the rms speed of molecules in a s...

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  3. The K.E. of one mole of an ideal gas is

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  4. At what temperature is the rms velocity of a hydrogen molecule equal t...

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  5. The molar specific heat at constant pressure of an ideal gas is (7//2 ...

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  6. Two rigid boxes containing different ideal gases are placed on a table...

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  7. Given is the graph between (PV)/T and P for 1 gm of oxygen gas at two ...

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  8. The root mean square velocity of hydrogen molecules at 300 K is 1930 m...

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  9. Two moles of oxygen are mixed with eight moles of helium. The effectiv...

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  10. 1 mole of monoatomic and one mole of diatomic gas are mixed together. ...

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  11. One kg of a diatomic gas is at pressure of 8xx10^4N//m^2. The density ...

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  12. 10 moles of an ideal monoatomic gas at 10^(@)C are mixed with 20 moles...

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  13. Find the temperature at which oxygen molecules would have the same rms...

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  14. Mean free path of a gas molecule is

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  15. A mixture of 2 moles of helium gas ((atomic mass)=4a.m.u) and 1 mole o...

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  16. The molar specific heats of an ideal gas at constant pressure and volu...

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  17. The mean free path of molecules of a gas (radius r) is inversely propo...

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  18. The root mean square velocity of hydrogen molecule at 27^(@)C is (upsi...

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

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