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Estimate the total number of molecules i...

Estimate the total number of molecules inclusive of oxygen, nitrogen, water vapour and other constituents in a room of capacity `30m^(3)` at a temperature of `30^(@)C` and 1 atmosphere pressure.

Text Solution

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At Boltzmann.s constant, `k_(B)=R/N,R=k_(B)N`
Now, `PV=nRT=nk_(B)NT`
`therefore` The number of molecules in the room, `nN=(PV)/(k_(B)T)=(1.013xx10^(5)xx25)/(300xx1.38xx10^(-23))`
The number of molecules in the room `=6.117.xx10^(26)`
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