The pH of a liquid is pH = -log H+, where H+ is the hydrogen ion concentration in the solution. The
pH of a cup of lime juice is 2.17. What is H+ in this solution? Round to the nearest ten-thousandth.
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The pH of a solution is related to the hydrogen ion concentration \( H^+ \) by the formula:

\[
\text{pH} = -\log[H^+]
\]

We are given the pH as 2.17, and we need to find \( H^+ \). To solve for \( H^+ \), we can rearrange the formula:

\[
H^+ = 10^{-\text{pH}}
\]

Substitute the given pH value:

\[
H^+ = 10^{-2.17}
\]

Now, let me calculate that for you.

The hydrogen ion concentration \( H^+ \) in the lime juice solution is approximately 0.0068 (rounded to the nearest ten-thousandth).

Would you like further details or explanations on this? Here are some related questions:

1. What is the pH if the hydrogen ion concentration \( H^+ \) is doubled?
2. How would a lower pH affect the \( H^+ \) concentration?
3. What is the pH of pure water, where \( H^+ \) is \( 1 \times 10^{-7} \)?
4. How does the pH scale relate to the acidity or alkalinity of a solution?
5. Can pH ever be negative, and if so, what does that imply?

**Tip**: pH is a logarithmic scale, meaning each whole number change corresponds to a tenfold change in \( H^+ \) concentration.

The pH of a liquid is pH = -log H+, where H+ is the hydrogen ion concentration in the solution. The pH of a cup of lime juice is 2.17. What is H+ in this solution? Round to the nearest ten-thousandth.

Learn how to calculate the hydrogen ion concentration (H+) from the pH of a solution, using the formula H+ = 10^(-pH). In this example, we calculate H+ for lime juice with a pH of 2.17, resulting in a concentration of approximately 0.0068. Suitable for high school students (Grades 9-12).

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