Concept:
According to the Brønsted-Lowry acid-base theory:
• A conjugate acid is formed when a species accepts a proton (\(H^+\)).
• A conjugate base is formed when a species donates a proton (\(H^+\)).
The ion \( HCO_3^- \) is called the bicarbonate ion and is an amphiprotic species, which means it can behave both as an acid and as a base depending upon the reaction conditions.
Step 1: Finding the conjugate acid of \( HCO_3^- \).
To obtain the conjugate acid, the given species must accept one proton (\(H^+\)).
\[
HCO_3^- + H^+ \rightarrow H_2CO_3
\]
Here, the bicarbonate ion gains one proton and forms carbonic acid.
Therefore, the conjugate acid of \( HCO_3^- \) is:
\[
H_2CO_3
\]
Step 2: Finding the conjugate base of \( HCO_3^- \).
To obtain the conjugate base, the given species must donate one proton (\(H^+\)).
\[
HCO_3^- \rightarrow H^+ + CO_3^{2-}
\]
After losing one proton, bicarbonate ion forms carbonate ion.
Therefore, the conjugate base of \( HCO_3^- \) is:
\[
CO_3^{2-}
\]
Step 3: Matching with the given options.
From the above calculations:
\[
\text{Conjugate Acid} = H_2CO_3
\]
\[
\text{Conjugate Base} = CO_3^{2-}
\]
Hence, the correct pair is:
\[
H_2CO_3 \text{ and } CO_3^{2-}
\]
Step 4: Evaluation of the given options.}
• \( CO_3^{2-} \) and \( H_2CO_3 \): Incorrect order.
• \( H_2CO_3 \) and \( CO_2 \): Incorrect because \( CO_2 \) is not the conjugate base.
• \( CO_2 \) and \( H_2CO_3 \): Incorrect pair.
• \( H_2CO_3 \) and \( CO_3^{2-} \): Correct pair.