Write the chemical equation and the \(K_{a}\) expression for the ionization of each of the following acids in aqueous solution. First show the reaction with \(\mathrm{H}^{+}(a q)\) as a product and then with the hydronium ion: (a) \(\mathrm{HBrO}_{2},\) (b) \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{COOH} .\)

For HBrO2: 1. Chemical equation with H+ as a product: \(\mathrm{HBrO_{2} \rightleftharpoons H^{+} + BrO^{-}_{2}}\) 2. Chemical equation with H3O+ as a product: \(\mathrm{HBrO_{2} + H_{2}O \rightleftharpoons H_{3}O^{+} + BrO^{-}_{2} }\) 3. Ka expression: \( K_a = \frac{[\mathrm{H^{+}}][\mathrm{BrO^{-}_{2}}]}{[\mathrm{HBrO_{2}}]} \) For C2H5COOH: 1. Chemical equation with H+ as a product: \(\mathrm{C_{2}H_{5}COOH \rightleftharpoons H^{+} + C_{2}H_{5}COO^{-}} \) 2. Chemical equation with H3O+ as a product: \(\mathrm{C_{2}H_{5}COOH + H_{2}O \rightleftharpoons H_{3}O^{+} + C_{2}H_{5}COO^{-}} \) 3. Ka expression: \( K_a = \frac{[\mathrm{H^{+}}][\mathrm{C_{2}H_{5}COO^{-}}]}{[\mathrm{C_{2}H_{5}COOH}]} \)