How many times stronger is the hydrogen-ion concentration of a pH 4 solution compared with a pH 9 solution?

Rationale

The hydrogen-ion concentration of a pH 4 solution is 100,000 times stronger compared to a pH 9 solution.

The pH scale is logarithmic, meaning each whole number change represents a tenfold change in hydrogen-ion concentration. Therefore, a difference of 5 units from pH 9 to pH 4 corresponds to a factor of 10^5, or 100,000 times stronger.

A (50) YOUR ANSWER

This choice incorrectly suggests a relatively small difference in hydrogen-ion concentration. A pH difference of only 1 unit corresponds to a tenfold difference; thus, a difference of 5 units would yield a factor of 100,000, not 50. Therefore, this option significantly underestimates the strength of the acid.

B (100,000) CORRECT

This is the correct choice because a difference of 5 pH units means the hydrogen-ion concentration increases by a factor of 10^5 (or 100,000). Since pH 4 is five units lower than pH 9, the concentration of hydrogen ions is indeed 100,000 times greater in the pH 4 solution.

C (0.000001) YOUR ANSWER

This choice misrepresents the comparison entirely. A pH of 9 indicates a basic solution with a much lower concentration of hydrogen ions than a pH of 4. The figure provided seems to suggest a concentration that is much weaker than that of a neutral solution, which is inaccurate in this context.

D (5) YOUR ANSWER

This option reflects a misunderstanding of the pH scale. A change of 1 unit in pH corresponds to a factor of 10, hence a change of 5 units represents a 100,000-fold difference, not merely 5. This answer does not accurately reflect the logarithmic nature of pH.

Conclusion

In summary, the hydrogen-ion concentration of a pH 4 solution is 100,000 times stronger than that of a pH 9 solution due to the logarithmic nature of the pH scale. Understanding this relationship is crucial for accurately assessing acidity and basicity in various chemical contexts. The incorrect options fail to grasp the implications of pH differences, leading to significant underestimations or misinterpretations of hydrogen-ion concentrations.

How many times stronger is the hydrogen-ion concentration of a pH 4 solution compared with a pH 9 solution?

The hydrogen-ion concentration of a pH 4 solution is 100,000 times stronger compared to a pH 9 solution.

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