A gas is at temperature `80^(@)C` and pressure `5xx10^(-10)Nm^(-2)`. What is the number of molecules per `m^(3)` if Boltzmann's constant is `1.38xx10^(-23)JK^(-1)`

Explanation

Temperature of gas `T=80^(@)C=80+273=353k`
Pressure of gas `P=5xx10^(-10)Nm^(-2)`
Boltzmann's constant `k=1.38xx10^(-23)Jk^(-1)`
Volume of gas `V=1m^(3)`
No. of molecules `n=?`
`n=(PV)/(kT)=(5xx10^(-10)xx1)/(1.38xx10^(-23)xx353)=(5xx10^(-10))/(487xx10^(-23))`
`n=0.1026xx10^(13)" (or) "1.02xx10^(11)`