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The total number of air molecules (inclu...

The total number of air molecules (inclusive of oxygen ,nitrogen ,water vapour and other contituents)in a room of capacity 20 `m^(3)` at a temerature of `27^(@)`C and 1 atm pressure.

Text Solution

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Givne data
Volume `(V)=20m^(3)`
Temperature `(T)=27+273=300K`
Pressure (P) =1 atm `=1.01 xx 10^(5)Pa`
Total number of air molecules `N=(PV)/(KT)`
`=(1.02xx 10^(5) xx 20)/(1.38 xx 10^(-23) xx 300)=4.87 xx 10^(26)`
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