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Find out the rms speed of a gas of densi...

Find out the rms speed of a gas of density `2g.L^-1` at 76 cmHg pressure. Given density of mercury=`13.6 g.cm^-3` and `g=980 cm.s^-2`.

Text Solution

Verified by Experts

`p=76 times 13.6 times 980 dyn.cm^-2`
`p=2 g.L^-1=2/1000 g.cm^-3`
So, rms speed `c=sqrt((3p)/p)`
`=sqrt((3times76times13.6times980times1000)/2)`
`=3.9 times10^4 cm.s^-1=0.39 km.s^-1`.
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