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Geometric-algebraic approach to aqueous solutions of diprotic acids and its buffer mixtures
by
Arango, Carlos A.
, Morales, Juan C.
in
Algebra
/ Approximation
/ Aqueous chemical equilibrium
/ Aqueous solutions
/ Biochemistry
/ Buffer solutions
/ Chemistry
/ Chemistry and Materials Science
/ Equilibrium equations
/ Math. Applications in Chemistry
/ Mathematical analysis
/ Original Paper
/ Physical Chemistry
/ Physiology
/ Theoretical and Computational Chemistry
/ Titration
2024
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Geometric-algebraic approach to aqueous solutions of diprotic acids and its buffer mixtures
by
Arango, Carlos A.
, Morales, Juan C.
in
Algebra
/ Approximation
/ Aqueous chemical equilibrium
/ Aqueous solutions
/ Biochemistry
/ Buffer solutions
/ Chemistry
/ Chemistry and Materials Science
/ Equilibrium equations
/ Math. Applications in Chemistry
/ Mathematical analysis
/ Original Paper
/ Physical Chemistry
/ Physiology
/ Theoretical and Computational Chemistry
/ Titration
2024
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Do you wish to request the book?
Geometric-algebraic approach to aqueous solutions of diprotic acids and its buffer mixtures
by
Arango, Carlos A.
, Morales, Juan C.
in
Algebra
/ Approximation
/ Aqueous chemical equilibrium
/ Aqueous solutions
/ Biochemistry
/ Buffer solutions
/ Chemistry
/ Chemistry and Materials Science
/ Equilibrium equations
/ Math. Applications in Chemistry
/ Mathematical analysis
/ Original Paper
/ Physical Chemistry
/ Physiology
/ Theoretical and Computational Chemistry
/ Titration
2024
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Geometric-algebraic approach to aqueous solutions of diprotic acids and its buffer mixtures
Journal Article
Geometric-algebraic approach to aqueous solutions of diprotic acids and its buffer mixtures
2024
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Overview
A closed-form analytical expression for
[
H
3
O
+
]
has been obtained for aqueous solutions of diprotic acids and its soluble salts. This formula allows to calculate the pH of aqueous solutions of diprotic acids, their buffer solutions, and the titrations of these two by a strong base, from the values of p
K
1
, p
K
2
, and the effective concentrations of the acid and the base,
C
¯
a
and
C
¯
b
respectively. It is shown that a strong base titration of an acid, or its buffer solutions, is always a linear path in the
C
¯
a
–
C
¯
b
plane, which allows a simple analysis of the pH stability of buffer solutions. The mathematical analysis of the equilibrium equations of the dissolution of a diprotic acid in water and the physical constraints allowed to obtain two approximate equations for the diprotic acids. One of the approximations is useful for acids with
p
K
2
-
p
K
1
≤
log
10
4
, the other for acids with
p
K
2
-
p
K
1
≤
-
log
10
4
.
Publisher
Springer International Publishing,Springer Nature B.V
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