Classify each species in this reaction as a Brønsted base or a Brønsted acid.

[tex]\[ \text{HSO}_3^{-}(aq) + \text{H}_3\text{O}^{+}(aq) \rightleftharpoons \text{H}_2\text{SO}_3(aq) + \text{H}_2\text{O}(l) \][/tex]



Answer :

Sure, let's classify each species in the reaction as a Brønsted base or a Brønsted acid. The reaction is:

[tex]\[ HSO_3^-(aq) + H_3O^+(aq) \rightleftharpoons H_2SO_3(aq) + H_2O(l) \][/tex]

Understanding how Brønsted-Lowry acids and bases operate:
- A Brønsted-Lowry acid is a species that donates a proton ([tex]\(H^+\)[/tex]).
- A Brønsted-Lowry base is a species that accepts a proton ([tex]\(H^+\)[/tex]).

Now, let's examine each species in the reaction to determine their role:

1. HSO[tex]\(_3^-\)[/tex]:
- In the reaction, [tex]\(\text{HSO}_3^-\)[/tex] combines with [tex]\(H_3O^+\)[/tex].
- To find out if [tex]\(\text{HSO}_3^-\)[/tex] acts as an acid or a base, observe the products:
- [tex]\(\text{HSO}_3^-\)[/tex] gains a proton ([tex]\(H^+\)[/tex]) from [tex]\(H_3O^+\)[/tex] and becomes [tex]\(H_2SO_3\)[/tex].
- Therefore, [tex]\(\text{HSO}_3^-\)[/tex] is accepting a proton and hence is a Brønsted base.

2. H[tex]\(_3O^+\)[/tex]:
- [tex]\(\text{H}_3\text{O}^+\)[/tex] donates a proton ([tex]\(H^+\)[/tex]) to [tex]\(\text{HSO}_3^-\)[/tex].
- When it loses a proton, [tex]\(\text{H}_3\text{O}^+\)[/tex] turns into [tex]\(\text{H}_2\text{O}\)[/tex].
- Thus, [tex]\(\text{H}_3\text{O}^+\)[/tex] is donating a proton and hence is a Brønsted acid.

3. H[tex]\(_2\)[/tex]SO[tex]\(_3\)[/tex]:
- Upon formation, [tex]\(H_2SO_3\)[/tex] could potentially donate a proton if the reaction were to reverse.
- In the context of this single-step depiction, it does not donate a proton directly.
- However, [tex]\(H_2SO_3\)[/tex] can theoretically donate a proton (as it can act as an acid in another context), making it a Brønsted acid.

4. H[tex]\(_2\)[/tex]O:
- By accepting a proton, [tex]\(\text{H}_2\text{O}\)[/tex] can turn into [tex]\(\text{H}_3\text{O}^+\)[/tex], showing it can accept a proton.
- In this reaction, it's the result of [tex]\(\text{H}_3\text{O}^+\)[/tex] losing a proton, indicating its potential to act as a base in future interactions.
- Thus, [tex]\(\text{H}_2\text{O}\)[/tex] is a Brønsted base.

To summarize:
- [tex]\(\text{HSO}_3^-\)[/tex] accepts a proton: Brønsted base.
- [tex]\(\text{H}_3\text{O}^+\)[/tex] donates a proton: Brønsted acid.
- [tex]\(\text{H}_2\text{SO}_3\)[/tex] can donate a proton: Brønsted acid.
- [tex]\(\text{H}_2\text{O}\)[/tex] can accept a proton: Brønsted base.

Hence, the species classifications are:
1. [tex]\(\text{HSO}_3^-\)[/tex] is a Brønsted base.
2. [tex]\(\text{H}_3\text{O}^+\)[/tex] is a Brønsted acid.
3. [tex]\(\text{H}_2\text{SO}_3\)[/tex] is a Brønsted acid.
4. [tex]\(\text{H}_2\text{O}\)[/tex] is a Brønsted base.