Answer
(d) i, ii, iii, iv
Step-by-step explanation
A large Ka value indicates a strong acid because it means the acid is largely dissociated into its ions. A large Ka value also means the formation of products in the reaction is favored. A small Ka value means little of the acid dissociates, so you have a weak acid.
In addition, the smaller the pKa value, the stronger the acid.
Note: pKa = - log ka
To arrange the following according to increasing acid strength, first, convert the Ka to pKa using the formula above.
(i) Ka= 2.5 + 10⁻¹⁵
pKa = - (log 2.5 + log 10⁻¹⁵)
pKa = -(0.40 - 15)
pKa = -0.40 + 15 = 14.6
(ii) Ka= 9.0 + 10⁻⁹
pKa = - (log 9.0 + log 10⁻⁹)
pKa -(0.95 - 9)
pKa = -0.95 + 9 = 8.05
(iii) pKa = 7.5
(iv) % dissociation = 100
This implies the acid dissociates completely in water. Strong acids have a large dissociation constant, so they dissociate completely in water.
The smaller the pKa value, the stronger the acid.
Therefore the arrangement of the above according to increasing acid strength is:
(d) i, ii, iii, iv