Certainly! To determine the pH of a solution given its hydronium ion concentration, you would follow these steps:
1. Identify the given information:
- The hydronium ion concentration ([tex]\(\left[ H_3O^+ \right]\)[/tex]) is [tex]\(5.6 \times 10^{-9} \text{ M}\)[/tex].
2. Recall the formula for pH:
[tex]\[
\text{pH} = -\log_{10} \left[ H_3O^+ \right]
\][/tex]
3. Substitute the given hydronium ion concentration into the pH formula:
[tex]\[
\text{pH} = -\log_{10} \left( 5.6 \times 10^{-9} \right)
\][/tex]
4. Calculate the pH:
Assessing the logarithmic value here, we find that:
[tex]\[
\text{pH} \approx 8.2518119729938
\][/tex]
5. Compare your calculated pH with the given choices to select the correct answer:
- A. 7.00
- B. 8.25
- C. 9.00
- D. 9.76
From our calculation, we can see that the pH of the solution is approximately [tex]\(8.25\)[/tex]. Therefore, the correct answer is:
B. 8.25
