1. **State the problem:** Find the pH of a solution when the concentration of hydrogen ions $[H^+]$ is $3.26 \times 10^{-9}$ moles per liter.
2. **Recall the formula:** pH is defined as
$$\text{pH} = -\log [H^+]$$
where $\log$ is the base 10 logarithm.
3. **Express the concentration as an exponential with base 10:**
$$[H^+] = 3.26 \times 10^{-9}$$
4. **Calculate the logarithm:**
$$\log(3.26 \times 10^{-9}) = \log(3.26) + \log(10^{-9}) = \log(3.26) - 9$$
5. **Evaluate $\log(3.26)$:**
Using a calculator or logarithm table,
$$\log(3.26) \approx 0.5132$$
6. **Combine the terms:**
$$\log(3.26 \times 10^{-9}) = 0.5132 - 9 = -8.4868$$
7. **Find the pH:**
$$\text{pH} = -(-8.4868) = 8.4868$$
8. **Final answer:**
The pH of the solution is approximately **8.49**.
Ph Calculation Ce7140
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