Themes > Science > Chemistry > Inorganic Chemistry > Acids and Bases > pH As A Measure of the Concentration of the H3O+ Ion


Pure water is both a weak acid and a weak base. By itself, water forms only a very small number of the H3O+ and OH- ions that characterize aqueous solutions of stronger acids and bases.

H2O(l) + H2O(l) H3O+(aq) + OH-(aq)  
base   acid   acid   base  

The concentrations of the H3O+ and OH- ions in water can be determined by carefully measuring the ability of water to conduct an electric current. At 25oC, the concentrations of these ions in pure water is 1.0 x 10-7 moles per liter.

[H3O+] = [OH-] = 1.0 x 10-7 M (at 25°C)

When we add a strong acid to water, the concentration of the H3O+ ion increases.

HCl(aq) + H2O(l) <-----> H3O+(aq) + Cl-(aq)

At the same time, the OH- ion concentration decreases because the H3O+ ions produced in this reaction neutralize some of the OH- ions in water.

H3O+(aq) + OH-(aq) <-----> 2 H2O(l)

The product of the concentrations of the H3O+ and OH- ions is constant, no matter how much acid or base is added to water. In pure water at 25oC, the product of the concentration of these ions is 1.0 x 10-14.

[H3O+][OH-] = 1.0 x 10-14

The range of concentrations of the H3O+ and OH- ions in aqueous solution is so large that it is difficult to work with. In 1909 the Danish biochemist S. P. L. Sorenson suggested reporting the concentration of the H3O+ ion on a logarithmic scale, which he named the pH scale. Because the H3O+ ion concentration in water is almost always smaller than 1, the log of these concentrations is a negative number. To avoid having to constantly work with negative numbers, Sorenson defined pH as the negative of the log of the H3O+ ion concentration.

pH = -log [H3O+]

The concept of pH compresses the range of H3O+ ion concentrations into a scale that is much easier to handle. As the H3O+ ion concentration decreases from roughly 100 to 10-14, the pH of the solution increases from 0 to 14.

If the concentration of the H3O+ ion in pure water at 25oC is 1.0 x 10-7 M, the pH of pure water is 7.

pH = -log [H3O+] = -log (1.0 x 10-7) = 7

When the pH of a solution is less than 7, the solution is acidic. When the pH is more than 7, the solution is basic.

Acidic:   pH < 7
Basic:   pH > 7


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