Subjects chemistry

Ph Calculation Ce7140

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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**.