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)

A gas is at temperature 80^(@)C and pressure 5xx10^(-10)Nm^(-2). What

1.	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)
Answer» Solution :Temperature of a gas `(T)=80^(@)C+273=353K` Pressure of a gas (P) `=5XX10^(10)Nm^(-2)` Boltzmann.s CONSTANT `(K_(B)) =1.38xx10^(-23)JK^(-1)` `Vm^(3)` Number of molecules,`n=(PV)/(kT)=(5xx10^(-10)xx1)/1.38xx 10^(-23)xx353` `(5xx10^(-10))/(487.14xx 10^(-23))=0.01026xx10^(13)` `n=1.02xx10^(11)`