Write the chemical equation and the Ka expression for the ionization of each of the following acids in aqueous solution. First, show the reaction with H+(aq) as a product and then with the hydronium ion: (a) HBrO2 (b) C2H5COOH.

Verified step by step guidance

1. Step 1: Identify the acid and its ionization in water. For HBrO2, the ionization reaction with H+(aq) as a product is: \[ \text{HBrO}_2 (aq) \rightleftharpoons \text{H}^+ (aq) + \text{BrO}_2^- (aq) \].
2. Step 2: Write the Ka expression for the ionization of HBrO2. The expression is: \[ K_a = \frac{[\text{H}^+][\text{BrO}_2^-]}{[\text{HBrO}_2]} \].
3. Step 3: Show the ionization of HBrO2 with the hydronium ion as a product: \[ \text{HBrO}_2 (aq) + \text{H}_2\text{O} (l) \rightleftharpoons \text{H}_3\text{O}^+ (aq) + \text{BrO}_2^- (aq) \].
4. Step 4: Identify the acid and its ionization in water for C2H5COOH. The ionization reaction with H+(aq) as a product is: \[ \text{C}_2\text{H}_5\text{COOH} (aq) \rightleftharpoons \text{H}^+ (aq) + \text{C}_2\text{H}_5\text{COO}^- (aq) \].
5. Step 5: Write the Ka expression for the ionization of C2H5COOH. The expression is: \[ K_a = \frac{[\text{H}^+][\text{C}_2\text{H}_5\text{COO}^-]}{[\text{C}_2\text{H}_5\text{COOH}]} \].