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At what temperature, the r.m.s. velocity...

At what temperature, the r.m.s. velocity of a gas measured at `50^(@)C` will become double ?

A

`626 K`

B

`1019 K`

C

`200^(@)C`

D

`1019^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D
`U_(rms) = sqrt((3RT)/(M))`
According to available information,
`sqrt((3RT)/(M)) = 2 xx sqrt((3R xx 323 K)/(M))`
squaring both sides,
`T = 4 xx 323 K = 1292 K`
`T = 1292 - 273 = 1019^(@)C`
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