Q.68) Phosphoric acid ionizes in three steps with their ionization constant values $\mathrm{K}_{\mathrm{a}_1}, \mathrm{~K}_{\mathrm{a}_2}$ and $\mathrm{K}_{\mathrm{a}_3}$, respectively, while K is the overall ionization constant. Which of the following statements are true?
A. $\log \mathrm{K} \underset{\mathrm{}}{\mathrm{=}} \log \mathrm{K}_{\mathrm{a}_1}+\log \mathrm{K}_{\mathrm{a}_2}+\log \mathrm{K}_{\mathrm{a}_3}$
B. $\mathrm{H}_3 \mathrm{PO}_4^{-}$is a stronger acid than $\mathrm{H}_2 \mathrm{PO}_4^{-}$ and $\mathrm{HPO}_4^{2-}$.
c. $\mathrm{K}_{\mathrm{u}_1}>\mathrm{K}_{\mathrm{a}_2}>\mathrm{K}_{\mathrm{a}_3}$
D. $K_{a_1} \xlongequal{\prime \prime}=\frac{K_{a_3}+K_{a_2}}{2}$
Choose the correct answer from the options given below:
A) A, B and C only
B) A and B only
C) A and C only
D) B, C and D only
$\mathrm{H}_3 \mathrm{PO}_4$ is a stronger acid than $\mathrm{H}_2 \mathrm{PO}_4{ }^{-}$and $\mathrm{HPO}_4{ }^{2-}$ due to successive loss of protons being more difficult.
$K=K_a 1 \times K_a 2 \times K_a 3 \Rightarrow \log K=\log K_a 1+\log K_a 2+\log K_a 3$ - so this is also true
ionisation constant varies in the order Ka1 > Ka2 > Ka3
Hence, the correct answer is option (1).