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Chapter 15: Problem 66

What is the hydronium ion concentration in a solution of pH 5.5?

Short Answer

Expert verified
The concentration of hydronium ions in a solution with a pH of 5.5 is approximately \( 3.16 \times 10^{-6} \,M \).

Step by step solution

01

Understanding pH and Hydronium Ion concentration relation

The pH is the negative base-10 logarithm of the hydronium ion concentration, represented as \( pH = -\log[H_3O^+] \) . In our case we know the pH (5.5), and we want to find the hydronium ion concentration \( [H_3O^+] \). We need to rearrange the pH formula to solve for \( [H_3O^+] \).
02

Rearrange pH formula

Rearrange the formula as follows: \( [H_3O^+] = 10^{-pH} \).
03

Substituting the given pH into the formula

Substitute the given pH value into the equation: \( [H_3O^+] = 10^{-5.5} \). In this case, we'd have to do the calculations.
04

Calculate the hydronium ion concentration

Execute the calculations necessary, to get the hydronium ion concentration: \( [H_3O^+] \approx 3.16 \times 10^{-6} \,M \). Note: The M stands for Molar, which is the unit for concentration in chemistry.

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