To determine the pH of a 0.014 M solution of hydroiodic acid (HI), follow these steps:
1. Understanding Hydroiodic Acid (HI):
Hydroiodic acid is a strong acid, which means it dissociates completely in water. Therefore, the concentration of hydrogen ions [tex]\([\text{H}^+]\)[/tex] in the solution will be equal to the concentration of the acid.
2. Determine the Concentration of Hydrogen Ions [tex]\([\text{H}^+]\)[/tex]:
Since HI dissociates completely:
[tex]\[
\text{HI} \rightarrow \text{H}^+ + \text{I}^-
\][/tex]
The concentration of [tex]\(\text{H}^+\)[/tex] ions is the same as the concentration of the HI solution, which is 0.014 M.
3. Calculating the pH:
The pH of a solution is calculated using the formula:
[tex]\[
\text{pH} = -\log[\text{H}^+]
\][/tex]
Here, [tex]\([\text{H}^+]\)[/tex] is the concentration of hydrogen ions in moles per liter (M).
4. Substituting the Values:
Substitute [tex]\([\text{H}^+]\)[/tex] = 0.014 into the pH formula:
[tex]\[
\text{pH} = -\log(0.014)
\][/tex]
5. Result:
After performing the calculation, the pH of the solution is found to be approximately 1.85.
Therefore, the pH of a 0.014 M solution of hydroiodic acid is 1.85.
