The pH reading of a glass of liquid is given. Find the hydrogen ion concentration of the liquid. (Give your answers in scientific notation, correct to one decimal place.)
(a) Beer: pH = 5.1
[H+] =   × 10  M

(b) Water: pH = 7.0
[H+] =   × 10  M

To find the hydrogen ion concentration \([H^+]\), we use the relationship between pH and hydrogen ion concentration:

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

This implies:

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

Now, let's compute the hydrogen ion concentration for each case.

---

### (a) Beer: pH = 5.1
\[
[H^+] = 10^{-5.1}
\]

Using a calculator:
\[
[H^+] \approx 7.9 \times 10^{-6} \, \text{M}
\]

---

### (b) Water: pH = 7.0
\[
[H^+] = 10^{-7.0}
\]

Using a calculator:
\[
[H^+] = 1.0 \times 10^{-7} \, \text{M}
\]

---

### Final Results:
- (a) Beer: \([H^+] \approx 7.9 \times 10^{-6} \, \text{M}\)
- (b) Water: \([H^+] = 1.0 \times 10^{-7} \, \text{M}\)

Would you like further clarification on the calculation steps?

Here are 5 related questions:
1. How does the pH scale relate to acidity and alkalinity of a solution?
2. What is the hydrogen ion concentration for a neutral solution?
3. How does temperature affect the pH of water?
4. What is the relationship between \([H^+]\) and \([OH^-]\) in pure water?
5. How is pH affected by adding an acid or a base to a solution?

**Tip:** A lower pH value means a higher concentration of hydrogen ions, indicating a more acidic solution.

The pH reading of a glass of liquid is given. Find the hydrogen ion concentration of the liquid. (Give your answers in scientific notation, correct to one decimal place.) (a) Beer: pH = 5.1 (b) Water: pH = 7.0

Find the hydrogen ion concentration of beer (pH = 5.1) and water (pH = 7.0) using the formula [H^+] = 10^(-pH). Learn how to compute this step-by-step and express the results in scientific notation. Suitable for students in Grades 9-12.

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