TABLE OF CHEMICAL CONCENTRATIONS




Here is a table of basic chemical solution concentrations. With it you can convert the value of one kind of concentration in the value of another. At the main diagonal are shown formulas for calculating the concentration of this type by the solution characteristics. Table is very useful in everyday life of chemist.


N=
10*c*q*K
--------
wp
1000*c*T
--------
wp
1000*c*q*L
----------
1000+wp*L
M*c
1000*c*q*G
------------
wb+g*(wp-wb)
1000*yp*c
---------
v
G=
wb*K
----------------
100*wp+K*(wb-wp)
wb*T
--------------
wp*q+T*(wb-wp)
wb*L
---------
1000+wb*L
wb*M
----------------
1000*q+M*(wb-wp)
yp
-----
yb+yp
wb*N
------------------
1000*c*q+N*(wb-wp)
M=
10*q*K
------
wp
1000*T
------
wp
1000*q*L
---------
1000+wp*L
1000*yp
-------
v
1000*G*q
------------
wb+G*(wp-wb)
N
-
c
L=
1000*K
----------
wp*(100-K)
1000*T
--------
wp*(q-T)
1000*yp
-------
mb
1000*M
-----------
1000*q-wp*M
1000*G
--------
wb*(1-G)
1000*N
-------------
1000*c*q-wp*N
T=
q*K
---
100
mp
--
v
q*wp*L
---------
1000+wp*L
wp*M
----
1000
wp*q*G
------------
Mb+G*(wp-wb)
wp*N
------
1000*c
K=
mp*100%
-------
mb+mp
100*T
-----
q
100*wp*L
---------
1000+wp*L
wp*M
----
10*q
100*wp*G
------------
wb+G*(wp-wb)
wp*N
------
10*c*q
0 < K < 100%
weight percent
T
titre
L
molality
M
molarity
0 < G < 1
mole rate
N
normalcy

      wb - the molar mass of the solvent (g/mol)
      wp - the molar mass of the solute (g/mol)
      mb - weight of the solvent (g)
      mp - mass of solute (g)
      yb - moles of solvent
      yp - number of moles of solute
       v - volume of the solution (cm^3)
       q - solution density (g/cm^3)
       c - "valence"



AGGREGATION OF CONCENTRATIONS


When two solutions of different concentrations are interflowed, the resulting mixture will have another concentration value. These formulas allow us to calculate the concentration of the mixture of two solutions of the same substance if known the concentrations and quantities of the initial solutions.

Formulas can give not so precise results when high concentrations, because the volume of the resulting mixture isn't equal to the sum of amounts of initial solutions.

But for practical purposes with not so high concentrations, the result is quite accurate.



     subscripts 1 and 2 - for the first and second solutions;
     m - weight of solutions;
     v - volumes of solutions;
     q - density of solutions;
     m1=q1*v1;
     m2=q2*v2;

     m1*K1+m2*K2
K3 = -----------
        m1+m2

     v1*M1+v2*M2
M3 = -----------
        v1+v2

     L1*m1*(1000+wp*L2)+L2*m2*(1000+wp*L1)
L3 = -------------------------------------
        m1*(1000+wp*L2)+m2*(1000+wp*L1)

     G1*m1*(wb+G2*(wp-wb))+G2*m2*(wb+G1*(wp-wb))
G3 = -------------------------------------------
        m1*(wb+G2*(wp-wb))+m2*(wb+G1*(wp-wb))

     v1*T1+v2*T2
T3 = -----------
        v1+v2

     v1*N1+v2*N2
N3 = -----------
        v1+v2



COMPOSITION OF TWO-COMPONENT ALLOY


To determine the percentage composition of a homogeneous mixture (alloy) of two substances can be used this formula:


      1 - R2/R
K1 = ---------- * 100%
      1 - R2/R1
where:
R - the mixture's density;
R1 и R2 - density of components;
K1 - percentage (by weight) of component 1.

At home the mixture density is calculated as R = Mc/(Mc-Mb)
where:
Mc - Alloy sample's weight in air (dry)
Mb - Weight of alloy sample immersed in water (without touching the walls and bottom).