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The average velocity of an ideal gas at ...

The average velocity of an ideal gas at `27^(@)C` is 0.3m `sec^(-1)`. The average velocity at `927^(@)C` will be

A

0.6 m `sec^(-1)`

B

`0.3 m sec^(-1)`

C

`0.9 m sec^(-1)`

D

1.2 m `sec^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Average velocity , `mu prop sqrt( T )`
`( mu_(1))/( mu _(2)) = sqrt(( T_(1))/( T_(2)))`
`mu_(1) = 0.3 m sec ^(-1) `,
`T_(1) = 273 + 27 = 300K`
`T_(2) = 927+ 273 = 1200k`
`( 0.3)/( mu_(2)) = sqrt(( 300)/( 1200))`
`mu = 0.3 xx 0.6 m sec^(-1)`
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