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If the rms velocities of nitrogen and ox...

If the rms velocities of nitrogen and oxygen molecules are same at two different temperatures and same pressure then

A

most probable velocity of molecules is also equal

B

average speed of molecules is also same

C

number of moles of each gas is also equal

D

density of nitrogén and oxygen is also equal

Text Solution

Verified by Experts

The correct Answer is:
A, B, D

`(V_("rms"))_(N_(2)) = (V_("rms"))_(O_2) , sqrt((3RT_(N_2))/(M_(N_2))) = sqrt((3R T_(O_2))/(M_(O_(2)))) , T_(N_(2))/(M_(N_(2))) = (T_(O_2))/(M_(O_2))`
Then `V_("av") ( sqrt((8RT)/(pi m))` and `V_("rms") ( sqrt((2RT)/(M)))` is also same ,
`d_(N_(2)) = (p_(N_(2)) M_(N_(2)))/(R T_(N_(2)))` and `d_(O_(2)) = (p_(O_(2)) M_(N_(2)))/(RT_(O_(2))) ` if `p_(N_(2)) = p_(O_(2))` , then `d_(N_(2)) = d_(O_(2))`
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