Answer:
The molarity of H3O+ = 3.8*10^-5 M
The molarity of ClO- = 3.87*10^-5 M
The molarity of HClO = 0.05 - 3.87*10^-5M = 0.0499613 M
Explanation:
Step 1: The balanced equation
HClO (aq) + H2O(l) ⇄ CIO-(aq) + H3O+(aq)
Step 2: Given data
Temperature = 25.0 °C
Acid-dissociation constant of HClO= 3.0 *10^-8
Molarity of HClO = 0.050M
Step 3: Calculate molarity
Initial Molarity of HClO = 0.050 M
Since the mol ratio is 1:1; there will react x of HClO and there will produced x M of ClO- and H30+
At the equilibirium we have (0.050 - x)M of HClO and X of ClO- and H3O+
Ka = [ClO-][H3O+] /[HClO] = 3*10^-8
3*10^-8 = x*x / (0.05 -x)
x² = (0.05-x)*3*10^-8
x = √(3*10^-8*(0.05))
x = 3.87*10^-5
The molarity of H3O+ = 3.8*10^-5 M
The molarity of ClO- = 3.87*10^-5 M
The molarity of HClO = 0.05 - 3.87*10^-5M = 0.0499613 M