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Determine the rms velocity, average velo...

Determine the rms velocity, average velocity and most probable velocity of `H_(2)` molecules at 300 K.

Text Solution

Verified by Experts

Molar mass (M) of `H_(2)` gas=2`g*mol^(-1)`
`therefore` Root mean square velocity of `H_(2)` molecule=
Average velocity`=sqrt((8RT)/(piM))=sqrt((3xx8.314xx10^(7)xx300)/(2))=1.934xx10^(5)cm*s^(-1)`
Average velocity`=sqrt((8RT)/(piM))=sqrt((8xx8.314xx10^(7)xx300)/(3.14xx2))`,
`=1.782xx10^(5)cm*s^(-1)`
Most probable velocity`=sqrt((2RT)/(M))=(2xx8.314xx10^(7)xx30)/(2)`
`=1.58xx10^(5)cm*s^(-1)`
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