User:MagnInd

• User:MagnInd/SP
• [http://toolserver.org/~soxred93/pcount/index.php?name=MagnInd&lang=en&wiki=wikipedia e counter]
• [http://en.wikipedia.org/wiki/Help:Displaying_a_formula#Subscripts.2C_superscripts.2C_integrals ltx]
• User:MagnInd/ltx

Constantin Budeanu was a Romanian electrical engineer born in 1886.In 1903-1908 the National School of Bridges and Highways in Bucharest,

Romanian Railways and the Bucharest Tram Society

technical director of the Electrical Society in Bucharest.

In 1916 became professor of Electrical Measurements and Electrical Engineering in the Electricity and Electrical Engineering department of the National School of Bridges and Highways, being assistant to Nicolae Vasilescu Karpen.

:$\backslash bar\{M\}\; =\; \backslash sum\_i\; x\_i\; M\_i\; \backslash ,$

It can also be calculated from the mass fractions $w\_i$ of the components:

:$1/\backslash bar\{M\}\; =\; \backslash sum\_i\; \backslash frac\{\{w\_i\}\}\{\{M\_i\}\}\; ,$

:$x\_i=\; \backslash frac\{\{\backslash frac\{\{m\_i\}\}\{\{M\_i\}\}\}\}\{\{\backslash sum\_i\; \backslash frac\{\{m\_i\}\}\{\{M\_i\}\}\}\}\; ,$

The relation between mass concentration $\backslash rho\_i$ and molar concentration is:

:$\backslash boldsymbol\{\backslash rho\_i\}\; =\; c\_i\; \backslash cdot\; M\_i$

where $M\_i$ is the molar mass of constituent $i$.

:$\backslash rho\; \backslash cdot\; w\_i\; =\; c\_i\; \backslash cdot\; M\_i$

:$w\_i\; =\; \backslash frac\{1\}\{1+1/(m\_i\backslash cdot\; M\_i)\}$

:$c\_i\; =\; \backslash rho\; \backslash cdot\; \backslash frac\{m\_i\}\{1+\; m\_i\backslash cdot\; M\_i\}$

:$m\_i\; =\; \backslash frac\{\{c\_i\}\}\{\{(\backslash rho\; -\; c\_i\; \backslash cdot\; M\_i)\}\}\; \backslash ,$

:$\backslash frac\{\{c\_i\}\}\{\{c\_i\; \backslash cdot\; (\backslash rho\; -\; c\_i\; \backslash cdot\; M\_i)\}\}\; =\; m\_i\; \backslash ,$ or

The sum of the molar concentrations of all components (including the solvent) gives the multiplicative inverse of the molar volume of the mixture or the molar density $\backslash rho$ of the solution:

:$\backslash frac\{\{\backslash rho\}\}\{\{\backslash bar\{\{M\}\}\}\}\; =\; \backslash sum\_i\; c\_i\; \backslash ,$

Thus, for pure component the molar concentration equals the molar density of the mixture namely density divided by average molar mass of the mixture M.

Molar concentration is the product of the density of a solution and the mole fraction $w\_i$ of a component:

:$\backslash frac\{\{\backslash rho\_i\}\}\{\{M\_i\}\}\; =\; \backslash frac\{\{\backslash rho\}\}\{\{M\}\}\; \backslash cdot\; x\_i$

• Volume fraction
• Volume percent
• Volume concentration
• Molality

In order to avoid confusion and also to underline the significance (the connection between the two quantities mass concentration and mass density), the best solution is to use bolded rho or

$\backslash varrho\_i\; \backslash ,$ for mass concentration while keeping the unmodified rho for mass density. This implies that any other Wikipedia requirements which might be contrary to this purpose be ignored.

:$\backslash rho\; =\; \backslash sum\_i\; \backslash varrho\_i\; \backslash ,$

:$$

V \approx V_0 (1 + \alpha \cdot \Delta T)

:$\backslash rho\; =\; \backslash frac\; \{\{\backslash rho^0\}\}\{\{(1\; +\; \backslash alpha\; \backslash cdot\; \backslash Delta\; T)\}\}$

Expressed as a function of the densities of pure components of the mixture and their volume participation, it reads:

:$\backslash rho\; =\; \backslash sum\_i\; \backslash rho\_i^\{*,0\}\; \backslash frac\{V\_i\}\{V\}\backslash ,=\; \backslash rho\_i^*\; \backslash frac\{n\_i\; V\_i^*\}\{V\}\backslash ,$

:$\backslash rho\_i\; =\; \backslash varrho\_i\; \backslash frac\{V\_i\}\{V\}\backslash ,=\; \backslash rho\_i^*\; \backslash frac\{n\_i\; V\_i^*\}\{V\}\backslash ,$

:$\backslash alpha\_i\; =\; \backslash sum\_i\; x\_i\; \backslash cdot\; \backslash frac\{\{\backslash bar\{V\_i\}\}\}\{\{\backslash tilde\{V\}\}\}\; \backslash cdot\; \backslash bar\{\backslash alpha\_i\}$

:$\backslash alpha\_i\; =\; \backslash sum\_i\; c\_i\; \backslash cdot\; \backslash bar\{\{V\_i\}\}\; \backslash cdot\; \backslash bar\{\backslash alpha\_i\}$

:$1\; =\; \backslash sum\_i\; c\_i\; \backslash cdot\; \backslash bar\{V\_i\}$

$\backslash phi\_i\; =\; \backslash frac\{\{V\_i\}\}\{\{\backslash sum\_i\; V\_i\}\}\; =\; \backslash frac\{\{\backslash varphi\_i\}\}\{\{1-\backslash sum\_i\; \backslash phi\_i^\{e\}\}\}$

• Fick's laws of diffusion
• Concentration gradient
• Transport phenomena
• Mass transfer
• Maxwell-Stefan diffusion

[http://en.wikipedia.org/wiki/Category:Chemical_properties]

http://en.wikipedia.org/wiki/Special:Contributions/V8rik

http://en.wikipedia.org/wiki/Special:Contributions/Smokefoot

http://en.wikipedia.org/wiki/Special:Contributions/Itub

http://en.wikipedia.org/wiki/Special:Contributions/Wtshymanski