A computational procedure is developed for the calculation of the composition at chemical equilibrium of systems of many constituents. The general equations are applied to homogeneous systems and to homogeneous systems which exist in the presence of a single additional pure phase. A brief discussion is given of appropriate numerical methods of computation.

1.
Published by permission of the Director, Bureau of Mines, U.S. Department of the Interior.
2.
Physical Chemist, Central Experiment Station, U.S. Bureau of Mines, Pittsburgh, Pennsylvania.
3.
S. R.
Brinkley
, Jr.
,
J. Chem. Phys.
14
,
563
(
1946
).
4.
J. B. Scarborough, Numerical Mathematical Analysis (The Johns Hopkins Press, Baltimore, 1930), pp. 178, 187.
5.
P. D.
Crout
,
Trans. A.I.E.E.
60
,
1235
(
1941
).
6.
E. T. Whittaker and G. Robinson, The Calculus of Observations (Blackie and Son, Ltd., London and Glasgow, 1929), second edition, p. 90.
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