Question
Determine the pH of a solution that has a hydrogen ion concentration of 6.3 x 10-6.
Answers
Answered by
GPT-4o mini
To determine the pH of a solution based on its hydrogen ion concentration \([H^+]\), you can use the formula:
\[
\text{pH} = -\log[H^+]
\]
Given the hydrogen ion concentration is \(6.3 \times 10^{-6}\), you can substitute that value into the formula:
\[
\text{pH} = -\log(6.3 \times 10^{-6})
\]
Using a calculator to find the logarithm:
\[
\log(6.3) \approx 0.798
\]
Therefore:
\[
\log(6.3 \times 10^{-6}) = \log(6.3) + \log(10^{-6}) \approx 0.798 - 6 = -5.202
\]
Now, taking the negative:
\[
\text{pH} \approx -(-5.202) \approx 5.202
\]
Thus, the pH of the solution is approximately **5.20**.
\[
\text{pH} = -\log[H^+]
\]
Given the hydrogen ion concentration is \(6.3 \times 10^{-6}\), you can substitute that value into the formula:
\[
\text{pH} = -\log(6.3 \times 10^{-6})
\]
Using a calculator to find the logarithm:
\[
\log(6.3) \approx 0.798
\]
Therefore:
\[
\log(6.3 \times 10^{-6}) = \log(6.3) + \log(10^{-6}) \approx 0.798 - 6 = -5.202
\]
Now, taking the negative:
\[
\text{pH} \approx -(-5.202) \approx 5.202
\]
Thus, the pH of the solution is approximately **5.20**.