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

The mathematical expression for is
##”V”/”n” = “constant”##, where
##V## – the volume of the ideal gas;
##n## – the amount of gas – expressed in ;
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 , 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 ; 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”##