Concept:
According to the Brønsted-Lowry acid-base theory:
• A Brønsted-Lowry acid is a species that donates a proton \((H^+)\).
• A Brønsted-Lowry base is a species that accepts a proton \((H^+)\).
Whenever an acid donates a proton, another species must accept that proton. Thus, acid-base reactions always involve proton transfer.
The general representation is:
\[
\text{Acid}_1 + \text{Base}_2 \rightleftharpoons \text{Acid}_2 + \text{Base}_1
\]
where:
• \(Acid_1\) donates proton.
• \(Base_2\) accepts proton.
• \(Acid_2\) is the conjugate acid formed after proton acceptance.
• \(Base_1\) is the conjugate base formed after proton donation.
Step 1: Writing the given reaction clearly.}
The given reaction is:
\[
HCl(aq) + H_2O(l) \rightleftharpoons H_3O^+(aq) + Cl^-(aq)
\]
We now analyze the movement of the proton \((H^+)\).
Step 2: Identifying the proton donor.}
In the reaction, \(HCl\) changes into \(Cl^-\).
\[
HCl \rightarrow Cl^-
\]
This transformation is possible only if \(HCl\) loses a proton \((H^+)\).
Thus:
\[
HCl \text{ donates } H^+
\]
Therefore, \(HCl\) behaves as a Brønsted-Lowry acid.
Hence,
\[
HCl = Acid_1
\]
Step 3: Identifying the proton acceptor.}
Water molecule changes into hydronium ion:
\[
H_2O \rightarrow H_3O^+
\]
This occurs because water accepts the proton released by \(HCl\).
\[
H_2O + H^+ \rightarrow H_3O^+
\]
Since \(H_2O\) accepts a proton, it behaves as a Brønsted-Lowry base.
Thus:
\[
H_2O = Base_2
\]
Step 4: Identifying conjugate acid-base pairs.}
The reaction can now be classified as:
\[
\underbrace{HCl}_{Acid_1}
+
\underbrace{H_2O}_{Base_2}
\rightleftharpoons
\underbrace{H_3O^+}_{Acid_2}
+
\underbrace{Cl^-}_{Base_1}
\]
• \(HCl\) loses proton and forms \(Cl^-\), therefore \(Cl^-\) is the conjugate base.
• \(H_2O\) gains proton and forms \(H_3O^+\), therefore \(H_3O^+\) is the conjugate acid.
Step 5: Evaluating the options.}
• \(H_3O^+\): This is the conjugate acid formed after proton acceptance, not \(Base_2\).
• \(H_2O\): Correct, because it accepts proton from \(HCl\).
• \(Cl^-\): This is the conjugate base formed after proton donation by \(HCl\).
• \(HCl\): This acts as acid because it donates proton.
Therefore, the correct answer is:
\[
\boxed{H_2O(l)}
\]