Question

Is the Avogadro constant used in the Avogadro's law formula?

Answer 1

The mathematical expression for Avogadro's law is

`"V"/"n" = "constant"`, where

`V` - the volume of the ideal gas;
`n` - the amount of gas - expressed in moles;

So, what that above equation suggests is that there is a relationship between the volume a gas occupies and how much of that gas is present; this takes place for constant temperature and constant pressure, which, using the ideal gas law, implies that

`PV = nRT => V = (nRT)/P => V/n = (RT)/P = "constant"`, since

`R`, `P`, and `T` are all constants in this case.

To answer your question, Avogadro's number is not used in the formula for Avogadro's law; however, it could be, if you take into account the fact that

`N = n*N_A`, where

`N` - the number of molecules of gas present;
`n` - the number of moles of gas;
`N_A` - Avogadro's number - `6.022*10^(23)` `"molecules/mol"`

If you multiply the ideal gas equation by `N_A/N_A` on the right-hand side, you'll get

`PV = n*N_A/N_A *RT = n*N_A * R/N_A * T = N * R/N_A * T`,

where `R/N_A = k` - Boltzmann's constant = `1.38*10^(-23)` `"J/K"`

So, in this form, `PV = NkT`, so you could write Avogadro's law using

`V/N = (kT)/P = "constant"`