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LaTeX Math Block
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x_ki = \frac{\nu_ki}{\sum_i \nu_i} = \frac{N_ki}{\sum_i N_i} 

where

LaTeX Math Inline
body \

displaystyle \

nu_i = N_i/N_A

amount of substance of the 

LaTeX Math Inline
bodyi
-th mixture component

LaTeX Math Inline
body

\displaystyle

\nu = \sum_i \nu

= N/N

_

A

i

 
LaTeX Math Inline
body\nu

 in the mixture 

LaTeX Math Inline
bodyN_A

Avogadro constant

LaTeX Math Inline
bodyN_i

amount of molecules/atoms in the 

LaTeX Math Inline
bodyi
-th mixture component

LaTeX Math Inline
bodyN = \sum_i N_i

total amount of molecules/atoms in the mixture 


As per definition the sum of all Mole mole fractions is strictly unit: 

LaTeX Math Inline
body\sum_i x_i = 1
.

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