Effect of changing hydrogen ion concentration on pH and acidity: A solution has pH = 5.9. If [H+] is decreased by a factor of 100, the solution becomes…
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Abasic
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Bmore acidic
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Cneutral
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Dof the same acidity
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Eslightly acidic (pH between 6 and 7)
Answer
Correct Answer: basic
Explanation
Introduction / Context:The pH scale quantifies acidity via the negative decimal logarithm of hydrogen ion concentration. Because it is logarithmic, multiplicative changes in [H+] translate to additive changes in pH. Interpreting how a change in [H+] affects where the solution lies relative to neutrality (pH 7) is a common analytical step.
Given Data / Assumptions:
- Initial pH = 5.9.
- Hydrogen ion concentration is decreased by 100× (i.e., divided by 100).
- Aqueous solution near ambient temperature; activity effects neglected.
Concept / Approach:If [H+] decreases by a factor of 10^2, pH increases by 2 units: pH_new = pH_old + 2. Values above 7 are classified as basic (alkaline), below 7 as acidic, and equal to 7 as neutral (at 25°C).
Step-by-Step Solution:
pH_new = 5.9 + log10(100) = 5.9 + 2 = 7.9.Since pH_new = 7.9 > 7, the solution is basic.Qualitatively, reducing [H+] shifts the balance toward hydroxide dominance, increasing pH.Verification / Alternative check:Compute [H+]: at pH 5.9, [H+] ≈ 10^−5.9 M. After dividing by 100, [H+] ≈ 10^−7.9 M, which is less than 10^−7 M (neutral at 25°C), confirming basicity.
Why Other Options Are Wrong:
- More acidic: Would require [H+] to increase, not decrease.
- Neutral: Would require pH to be about 7.0, not 7.9.
- Same acidity: Impossible when [H+] changes by two orders of magnitude.
- Slightly acidic: pH 7.9 is alkaline, not acidic.
Common Pitfalls:Confusing the direction of pH change with [H+] change; forgetting the logarithmic relation and using linear differences.
Final Answer:basic