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Points I, II and III in the following pl...

Points I, II and III in the following plot respectively correspond to (`V_(mp)`: most probable velocity)

A

`V_(mp) " of "H_(2)(300 K), V_(mp) " of " N_(2) (300 K ) , V_(mp) " of " O_(2) (400 K)`

B

`V_(mp) " of "O_(2) (400 K) , V_(mp) " of"N_(2)(300 K ) , V_(mp) " of " H_(2) (300 K)`

C

`V_(mp) " of "N_(2)(300 K) , V_(mp) " of"H_(2) (300 K) , V_(mp) " of" O_(2) (400 K)`

D

`V_(mp) " of " N_(2) (300 K) , V_(mp) " of " O_(2) (400 K) , V_(mp) " of " H_(2)(300 K )`

Text Solution

Verified by Experts

The correct Answer is:
D
`u_("rms") = sqrt((2RT)/M)`
`u_("rms")prop sqrt(T/M)`
For `N_(2)` at 300 K , `u_("rms") prop sqrt(T/M) prop sqrt((300)/28)`
For `O_(2)` at 400 K , `u_("mps") prop sqrt(T/M) prop sqrt((400)/32)`
`u_("mps") prop sqrt(T/M) prop sqrt((300)/2)=sqrt(150)` .
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