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QUESTION

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"