To determine the correct statement about hydrochloric acid (HCl) and acetic acid (CH₃COOH), we can analyze the implications of strong vs. weak acids.
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Hydrochloric acid is a strong acid, which means it dissociates completely in water. As a result, if HCl is present in a solution, it will produce a high concentration of H₃O⁺ (hydronium ions) and thus a lower pH.
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Acetic acid is a weak acid, meaning it only partially dissociates in water. Therefore, even at the same initial concentration, acetic acid will produce fewer H₃O⁺ ions than HCl.
Now, let's evaluate each response:
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"A solution of hydrochloric acid at equilibrium will have a greater concentration of solute than a solution of acetic acid at equilibrium."
- This is generally true because HCl dissociates completely, while acetic acid does not.
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"If the initial concentration of each acid is the same, then acetic acid will produce more H₃O⁺ ions than hydrochloric acid."
- This is false. HCl will produce significantly more H₃O⁺ ions because it is a strong acid and dissociates entirely.
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"The dissociation constant for hydrochloric acid is greater than the dissociation constant for acetic acid."
- True. HCl being a strong acid has a very large dissociation constant (it essentially completely dissociates), whereas acetic acid has a much smaller dissociation constant.
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"The pH of a solution of hydrochloric acid must be less than the pH of a solution of acetic acid."
- This statement is also true, as HCl generates a higher concentration of H₃O⁺, leading to a lower pH compared to that of acetic acid.
Given the options and analyses provided, the two correct statements are:
- "A solution of hydrochloric acid at equilibrium will have a greater concentration of solute than a solution of acetic acid at equilibrium."
- "The dissociation constant for hydrochloric acid is greater than the dissociation constant for acetic acid."
- "The pH of a solution of hydrochloric acid must be less than the pH of a solution of acetic acid."
However, if you are looking for one correct statement, it would be:
The dissociation constant for hydrochloric acid is greater than the dissociation constant for acetic acid.
This is a fundamental concept that clearly differentiates the strength of the two acids.