The pH of a 0.1M solution of cyanic acid (HCNO) is 2.34. Calculate the ionization constant of the acid and its degree of ionization in the solution.
Given:
pH = 2.34
Concentration of HCNO = 0.1M
Ionization of HCNO,
HCNO↔ H+ + CNO-
As pH = -log[H+]
pH = 2.34 (given)
∴ log[H+] = -2.34 = -3.66
By taking antilog of both the side, we get
[H+] = antilog -3.66
⇒[H+] = 4.57 × 10-3 M
At equilibrium, [H+] = [CNO-] =4.57 × 10-3 M
∴ Using the formula,
Ka =
⇒Ka =
⇒Ka =
⇒Ka = 2.09 × 10-4
To calculate degree of ionization (α) applying formula directly, we have α = √
⇒α = √
⇒α = 0.0457
Thus, the ionization constant of the acid is 2.09 × 10-4 and the degree of ionization is 0.00457