Consider two solutions, solution A and solution B. The concentration of 3H+4 in solution A is 250 times greater than that in solution B. What is the difference in the pH values of the two solutions?

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1. Step 1: Understand the relationship between hydrogen ion concentration and pH. The pH of a solution is calculated using the formula: \( \text{pH} = -\log[\text{H}^+] \), where \([\text{H}^+]\) is the concentration of hydrogen ions in moles per liter.
2. Step 2: Let \([\text{H}^+]_B\) be the concentration of hydrogen ions in solution B. Then, the concentration of hydrogen ions in solution A, \([\text{H}^+]_A\), is 250 times \([\text{H}^+]_B\). Therefore, \([\text{H}^+]_A = 250 \times [\text{H}^+]_B\).
3. Step 3: Calculate the pH of solution A using the formula: \( \text{pH}_A = -\log([\text{H}^+]_A) = -\log(250 \times [\text{H}^+]_B) \).
4. Step 4: Calculate the pH of solution B using the formula: \( \text{pH}_B = -\log([\text{H}^+]_B) \).
5. Step 5: Determine the difference in pH between the two solutions by subtracting the pH of solution B from the pH of solution A: \( \Delta \text{pH} = \text{pH}_A - \text{pH}_B \).