Sunday, July 22, 2012

Quantitative notation

There are four quantities that describe concentration:

Mass concentration

The mass concentration \rho_i is defined as the mass of a constituent m_i divided by the volume of the mixture V:
\rho_i = \frac {m_i}{V}
The SI-unit is kg/m3.

Molar concentration

The molar concentration c_i is defined as the amount of a constituent n_i divided by the volume of the mixture V:
c_i = \frac {n_i}{V}
The SI-unit is mol/m3. However, more commonly the unit mol/L (= mol/dm3) is used.

Number concentration

The number concentration C_i is defined as the number of entities of a constituent N_i in a mixture divided by the volume of the mixture V:
C_i = \frac{N_i}{V}
The SI-unit is 1/m3.

Volume concentration

The volume concentration \phi_i (also called volume fraction) is defined as the volume of a constituent V_i divided by the volume of all constituents of the mixture V prior to mixing:
\phi_i = \frac {V_i}{V}
The SI-unit is m3/m3.

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