Alright! Let's identify the conjugate acid for each given base.
When identifying the conjugate acid of a base, you add a hydrogen ion ([tex]\(H^+\)[/tex]) to the base. This is because when a base gains a proton (an [tex]\(H^+\)[/tex] ion), it becomes its conjugate acid.
1. Conjugate Acid of HS[tex]\(^-\)[/tex]:
[tex]\[ \text{HS}^- + H^+ \rightarrow \text{H}_2\text{S} \][/tex]
Therefore, the conjugate acid of HS[tex]\(^-\)[/tex] is [tex]\(\text{H}_2\text{S}\)[/tex].
2. Conjugate Acid of SO[tex]\(_4^{2-}\)[/tex]:
[tex]\[ \text{SO}_4^{2-} + H^+ \rightarrow \text{HSO}_4^- \][/tex]
Therefore, the conjugate acid of SO[tex]\(_4^{2-}\)[/tex] is [tex]\(\text{HSO}_4^-\)[/tex].
3. Conjugate Acid of HCO[tex]\(_3^-\)[/tex]:
[tex]\[ \text{HCO}_3^- + H^+ \rightarrow \text{H}_2\text{CO}_3 \][/tex]
Therefore, the conjugate acid of HCO[tex]\(_3^-\)[/tex] is [tex]\(\text{H}_2\text{CO}_3\)[/tex].
4. Conjugate Acid of CO[tex]\(_3^{2-}\)[/tex]:
[tex]\[ \text{CO}_3^{2-} + H^+ \rightarrow \text{HCO}_3^- \][/tex]
Therefore, the conjugate acid of CO[tex]\(_3^{2-}\)[/tex] is [tex]\(\text{HCO}_3^-\)[/tex].
5. Conjugate Acid of OH[tex]\(^-\)[/tex]:
[tex]\[ \text{OH}^- + H^+ \rightarrow \text{H}_2\text{O} \][/tex]
Therefore, the conjugate acid of OH[tex]\(^-\)[/tex] is [tex]\(\text{H}_2\text{O}\)[/tex].
6. Conjugate Acid of HSO[tex]\(_4^-\)[/tex]:
[tex]\[ \text{HSO}_4^- + H^+ \rightarrow \text{H}_2\text{SO}_4 \][/tex]
Therefore, the conjugate acid of HSO[tex]\(_4^-\)[/tex] is [tex]\(\text{H}_2\text{SO}_4\)[/tex].
7. Conjugate Acid of H[tex]\(_2\text{O}\)[/tex]:
[tex]\[ \text{H}_2\text{O} + H^+ \rightarrow \text{H}_3\text{O}^+ \][/tex]
Therefore, the conjugate acid of [tex]\(\text{H}_2\text{O}\)[/tex] is [tex]\(\text{H}_3\text{O}^+\)[/tex].
In summary, the conjugate acids are as follows:
1. Conjugate acid of HS[tex]\(^-\)[/tex] is [tex]\(\text{H}_2\text{S}\)[/tex].
2. Conjugate acid of SO[tex]\(_4^{2-}\)[/tex] is [tex]\(\text{HSO}_4^-\)[/tex].
3. Conjugate acid of HCO[tex]\(_3^-\)[/tex] is [tex]\(\text{H}_2\text{CO}_3\)[/tex].
4. Conjugate acid of CO[tex]\(_3^{2-}\)[/tex] is [tex]\(\text{HCO}_3^-\)[/tex].
5. Conjugate acid of OH[tex]\(^-\)[/tex] is [tex]\(\text{H}_2\text{O}\)[/tex].
6. Conjugate acid of HSO[tex]\(_4^-\)[/tex] is [tex]\(\text{H}_2\text{SO}_4\)[/tex].
7. Conjugate acid of H[tex]\(_2\text{O}\)[/tex] is [tex]\(\text{H}_3\text{O}^+\)[/tex].
