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The rms speed of oxygen gas molecules at...

The rms speed of oxygen gas molecules at STP is `4.5 times 10^4 cm.s^-1`. Find out the same for carbon dioxide gas molecules at STP. Given the molecular weights of oxygen and carbon dioxide are 32 and 44, respectively.

Text Solution

Verified by Experts

We know, `c=sqrt((3RT)/M)`
As the temperature is the same for both the gases, `c prop 1/sqrtM`.
So, `c_(O_2)/c_(CO_2)=sqrt(M_2/M_1)` [`M_1` molecular weight of `O_2`, `M_2` molecular weight of `CO_2`]
or,`c_(CO_2)=c_(O_2)=sqrt(M_1/M_2)=4.5times10^4timessqrt(32/44)`
`=3.84times10^4cm.s^-1`
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