Determine the ph of a 0.00598 m hclo4 solution.

Determine the pH of a 0.00598M HClO4 solution.

General guidance

Concepts and reason
The concepts of dissociation of a strong acid and the pH of acid are used in this question.

Initially, the molar concentration of hydrogen ion is determined by using the concept of dissociation of a strong acid. Then, the pH of the given perchloric acid is calculated by using the expression of the pH of acid.

Fundamentals

A strong acid is an acid which is completely dissociated or ionized in an aqueous solution. Its dissociation can be expressed by the following equation. Here, the strong acid is HA, the hydrogen ion is and the conjugate base of the strong acid is .

The pH of an acid is the power of hydrogen ions present in it. And it can be determined by using the following expression. …… (1)

Here, the molar concentration of hydrogen ion is .

Step-by-step

Step 1 of 2

The dissociation of perchloric acid can be shown as follows. So, the molar concentration of hydrogen ion is .

Since perchloric acid is a strong acid, therefore, it is completely dissociated in an aqueous solution. Thus, the molar concentration of hydrogen ion is equal to the initial molar concentration of perchloric acid.

Step 2 of 2

Substitute in equation (1) to determine the pH of which is shown below. Thus, the pH of the given perchloric acid is .

The pH of the given perchloric acid is .

The pH of perchloric acid is calculated by substituting the molar concentration of hydrogen ion from the first step in the expression of the pH of acid.

The pH of the given perchloric acid is .