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

Explanation

Boltzmann ' constant `K_B=1.38xxx10^(-23)JK^(-1)`
`K_B=R/N`
`:. R = K_BN`
Now `P = nRT = nKBNT`
`:.` The number of molecules in the room
`=nN =PV/(TK_B)`
Temperature `=27+273=300K`
`=(10.13xx10^5xx25)/(300xx1.38xx10^(-23))`
`=6.117xx10^(26)` molecules
`=6.1xx10^(26)` molecules