Estimate the total number of air molecules in a room of capacity `25m^(3)` at a temperature of `27^(@)C`.

Explanation

Volume of the room `V=25.0m^(3)`
Temperature of the room `T=27^(@)C=300K`
Pressure in the room P = estimate
`=1xx1.013xx10^(5)Pa`
The ideal gas equation relating pressure (P), volume (v) absolute temperature (T) can be written is
`PV=K_(B)NT`
`=(1.013xx10^(5)xx25)/(1.38xx10^(-23)xx300)`
`N=6.11xx10^(26)` molecules