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


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