Question

The concentration of the hydronium ion in an aqueous solution at 25 °C is 0.0092 M. What is the concentration of the hydroxide ion?

Answer 1

In an aqueous solution, the hydronium ion concentration and the hydroxide ion concentration are related to each other through the ion product of water. By knowing the hydronium ion concentration, we can calculate the concentration of the hydroxide ion using the relationship between the two ions. In this case, the concentration of the hydroxide ion is approximately 1.09 x 10^-13 M.

Step-by-step explanation:

The concentration of the hydroxide ion in an aqueous solution can be determined by using the concept of the ion product of water. In pure water at 25 °C, the concentration of both the hydronium ion (H3O+) and the hydroxide ion (OH-) is equal and is approximately 1.0 x 10-7 M. This means that for every molecule of water that dissociates, one hydronium ion and one hydroxide ion are formed.

However, in an aqueous solution with a known hydronium ion concentration, the concentration of the hydroxide ion can be calculated using the relationship between the two ions. The product of the hydronium ion concentration and the hydroxide ion concentration is always equal to 1.0 x 10-14 M2. Therefore, by rearranging the equation, we can determine the concentration of the hydroxide ion:

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

Using the given hydronium ion concentration of 0.0092 M, we can calculate the concentration of the hydroxide ion:

[OH-] = 1.0 x 10-14 / 0.0092 = 1.09 x 10-13 M

Answer 2

The concentration of the hydronium ion can be calculated using the equation Kw = [H3O+][OH-]. Given a hydroxide ion concentration of 0.001 M, the hydronium ion concentration is 1.0 × 10^-11 M at 25 °C.

Step-by-step explanation:

The concentration of hydronium ion (H3O+) in an aqueous solution can be determined using the concentration of hydroxide ion (OH-) and the relationship between the two ions in water.

The concentration of H3O+ can be calculated using the equation Kw = [H3O+][OH-], where Kw is the ion product constant for water at a specific temperature. At 25 °C, Kw is equal to 1.0 × 10^-14. Given a hydroxide ion concentration of 0.001 M, we can plug this value into the equation to find the hydronium ion concentration as follows: [H3O+] = Kw / [OH-] = (1.0 × 10^-14) / (0.001) = 1.0 × 10^-11 M.