Final answer:
To find the pH and concentration of H₂SO₃, HSO₃⁻, and SO₃ in a 0.050 M NaHSO₃ solution, we need to understand the dissociation of H₂SO₃ in water. Using the equation Ka = [H₃O⁺][HSO₃⁻] / [H₂SO₃], we can calculate the pH and concentration of H₂SO₃, HSO₃⁻, and SO₃.
Step-by-step explanation:
To find the pH and concentration of H₂SO₃, HSO₃⁻, and SO₃ in a 0.050 M NaHSO₃ solution, we need to understand the dissociation of H₂SO₃ in water.
H₂SO₃ (aq) + H₂O (l) ⟶ H₃O⁺ (aq) + HSO₃⁻ (aq)
Ka is the acid dissociation constant for H₂SO₃. Using this equation and the given concentrations, we can calculate the pH and concentration of H₂SO₃, HSO₃⁻, and SO₃.
First, we need to calculate the concentration of H3O⁺. Since we assume the concentration of H₂SO₃ and HSO₃⁻ are equal, we can use the equation Ka = [H₃O⁺][HSO₃⁻] / [H₂SO₃] to solve for [H₃O⁺].
Next, we can use the equation [SO₃] = [HSO₃⁻] to find the concentration of SO₃. Finally, we can use the equation pH = -log[H₃O⁺] to determine the pH value.