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Volume occupied by one mole of a substance (chemical element or chemical compound) at a given pressure  p and temperature  T:

(1) V_m(p, T) = \frac{V}{\nu} =\frac{M}{\rho}

where

V

volume

M

molar mass of a substance

\nu

amount of substance

\rho

density of a substance


Molar volume  V_m is inverse to Molar Density  \rho_m

(2) V_m = \frac{1}{\rho_m}


Molar volume
of the mixture is:

(3) V_m(p, T) =\frac{M}{\rho_f} = \frac{\sum_k M_k \cdot x_k}{\rho_f}
where

M_k

molar mass of the k-th mixture component

x_k

mole fraction of the k-th mixture component

\rho_f

mixture density



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