Balance the following equations and write the corresponding ionic and net ionic equations (if appropriate). (a) \( \mathrm{CH}_{3} \mathrm{COOH}(a q)+\mathrm{KOH}(a q) \longrightarrow \) (b) \( \mathrm{H}_{2} \mathrm{CO}_{3}(a q)+\mathrm{NaOH}(a q) \longrightarrow \) (c) \( \mathrm{HNO}_{3}(a q)+\mathrm{Ba}(\mathrm{OH})_{2}(a q) \longrightarrow \)

Let's balance each of the chemical equations and then write the ionic and net ionic equations where applicable. ### (a) **Balanced Equation**: \(\mathrm{CH}_{3} \mathrm{COOH}(aq) + \mathrm{KOH}(aq) \rightarrow \mathrm{CH}_{3} \mathrm{COOK}(aq) + \mathrm{H}_{2}\mathrm{O}(l)\) **Ionic Equation**: \(\mathrm{CH}_{3} \mathrm{COOH}(aq) + \mathrm{K}^+(aq) + \mathrm{OH}^-(aq) \rightarrow \mathrm{CH}_{3} \mathrm{COOK}(aq) + \mathrm{H}_{2}\mathrm{O}(l)\) **Net Ionic Equation**: \(\mathrm{CH}_{3} \mathrm{COOH}(aq) + \mathrm{OH}^-(aq) \rightarrow \mathrm{CH}_{3} \mathrm{COO}^-(aq) + \mathrm{H}_{2}\mathrm{O}(l)\) --- ### (b) **Balanced Equation**: \(\mathrm{H}_{2} \mathrm{CO}_{3}(aq) + 2\mathrm{NaOH}(aq) \rightarrow \mathrm{Na}_{2}\mathrm{CO}_{3}(aq) + 2\mathrm{H}_{2}\mathrm{O}(l)\) **Ionic Equation**: \(\mathrm{H}_{2} \mathrm{CO}_{3}(aq) + 2\mathrm{Na}^+(aq) + 2\mathrm{OH}^-(aq) \rightarrow \mathrm{Na}_{2}\mathrm{CO}_{3}(aq) + 2\mathrm{H}_{2}\mathrm{O}(l)\) **Net Ionic Equation**: \(\mathrm{H}_{2} \mathrm{CO}_{3}(aq) + 2\mathrm{OH}^-(aq) \rightarrow \mathrm{CO}_{3}^{2-}(aq) + 2\mathrm{H}_{2}\mathrm{O}(l)\) --- ### (c) **Balanced Equation**: \(\mathrm{HNO}_{3}(aq) + \mathrm{Ba(OH)}_{2}(aq) \rightarrow \mathrm{Ba(NO}_{3)}_{2}(aq) + 2\mathrm{H}_{2}\mathrm{O}(l)\) **Ionic Equation**: \(\mathrm{H}^+(aq) + \mathrm{NO}_{3}^-(aq) + \mathrm{Ba}^{2+}(aq) + 2\mathrm{OH}^-(aq) \rightarrow \mathrm{Ba(NO}_{3)}_{2}(aq) + 2\mathrm{H}_{2}\mathrm{O}(l)\) **Net Ionic Equation**: \(\mathrm{H}^+(aq) + \mathrm{OH}^-(aq) \rightarrow \mathrm{H}_{2}\mathrm{O}(l)\) Feel free to ask if you need more help or any further clarifications!