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By what factor does the average velocity...

By what factor does the average velocity of a gaseous molecule increase when the temperature (in Kelvin) is doubled ?

A

1.4

B

`2.0`

C

`2.8`

D

`4.0`

Text Solution

Verified by Experts

The correct Answer is:
A

Average velocity `(bar(v))=sqrt((8 RT)/(pi M))`
on doubling absolute temperature, new average velocity will be given by
`sqrt((8R xx2T)/(pi M))=sqrt(2) bar(v)=1.4 bar(v)`.
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