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Molar concentration
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== Related quantities == === Number concentration === The conversion to [[number concentration]] <math>C_i</math> is given by :<math>C_i = c_i N_\text{A},</math> where <math>N_\text{A}</math> is the [[Avogadro constant]]. === Mass concentration === The conversion to [[mass concentration (chemistry)|mass concentration]] <math>\rho_i</math> is given by :<math>\rho_i = c_i M_i,</math> where <math>M_i</math> is the [[molar mass]] of constituent <math>i</math>. === Mole fraction === The conversion to [[mole fraction]] <math>x_i</math> is given by :<math>x_i = c_i \frac{\overline{M}}{\rho},</math> where <math>\overline{M}</math> is the average molar mass of the solution, <math>\rho</math> is the [[density]] of the solution. A simpler relation can be obtained by considering the total molar concentration, namely, the sum of molar concentrations of all the components of the mixture: :<math>x_i = \frac{c_i}{c} = \frac{c_i}{\sum_j c_j}.</math> === Mass fraction === The conversion to [[mass fraction (chemistry)|mass fraction]] <math>w_i</math> is given by :<math>w_i = c_i \frac{M_i}{\rho}.</math> === Molality === For binary mixtures, the conversion to [[molality]] <math>b_2</math> is :<math>b_2 = \frac{c_2}{\rho - c_1 M_1},</math> where the solvent is substance 1, and the solute is substance 2. For solutions with more than one solute, the conversion is :<math>b_i = \frac{c_i}{\rho - \sum_{j\neq i} c_j M_j}.</math>
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