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If u(1), u(2), u (3) "…..." represent th...

If `u_(1), u_(2), u (3) "…..."` represent the speed of `n_(1), n_(2) , n_(3) ,"…..."` molecules , then the root mean square speed is `"____________"`.

A

`( ( u_(1)^(2) + u_(2)^(2) + u_(3)^(2)+"......")/(n_(1)+n_(2)+n_(3)+"......."))^(1//2)`

B

`( ( u_(1)^(2) + u_(2)^(2) + u_(3)^(2)+"......")^(1//2))/(n_(1)+n_(2)+n_(3)+".......")`

C

`((u_(1)^(2))^(1//2))/(n_(1)) + ((u_(2)^(2))^(1//2))/(n_(2)) + (( u_(3)^(2))^(1//2))/( n_(3))+"......."`

D

`(( ( u_(1) + u_(2) + u_(3)+"......")^(1//2))/((n_(1)+n_(2)+n_(3)+".......")))^(1//2)`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-STATES OF MATTER (GASES AND LIQUIDS) -COMPETITIVE THINKING
  1. A gas can be liquefied at temperature T and pressure P provided "".

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  2. Which set of conditions represent the easiest way to cool a gas ?

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  3. If u(1), u(2), u (3) "…..." represent the speed of n(1), n(2) , n(3) ,...

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  4. At constant volume, for a fixed number of moles of a gas, the pressure...

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  5. The kinetic theory of gases predicts that total kinetic energy of a ga...

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  6. Which of the following expressions correctly represents the relationsh...

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  7. The ratio among most probable velocity, mean velocity and root mean ve...

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  8. Root mean square velocity of a gas molecule is proprotional to

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  9. Which one of the following statement is not true about the effect of a...

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  10. By what factor does the average velocity of a gaseous molecule increas...

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  11. At what temperature is the average velocity of O(2) molecule equal to ...

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  12. The temperature of the gas is raised from 27^(@)C to 927^(@)C, the roo...

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  13. The rms velocity of CO gas molecules at 27^(@)C is approximately 1000 ...

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  14. The ratio between the root mean square speed of H(2) at 50 K and that ...

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  15. The root mean square velocity of one mole of a monoatomic gas having m...

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  16. The molecular velocities of two gases at same temperature are u(1) and...

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  17. The average kinetic energy of an ideal gas per molecule in SI units at...

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  18. As the temperature is raised from 20^(@)C to 40^(@)C the averge kineti...

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  19. Which of the following exhibits the weakest intermolecular forces?

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  20. Given the reaction : C(s)+H2O(l)toCO(g)+H2(g) Calculate the volume...

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