Which of the following salts turns red litmus blue in its aqueous solution?

Which of the following salts turns red litmus blue in its aqueous solution?
  1. $\mathrm{NH}_4 \mathrm{NO}_3$
  2. $\mathrm{NH}_4 \mathrm{Cl}$
  3. $\mathrm{NH}_4 \mathrm{CN}$
  4. $\mathrm{NH}_4 \mathrm{~F}$

Solution

$\mathrm{NH}_4 \mathrm{CN}$ is the salt of weak acid $\mathrm{HCN}$ $\left(\mathrm{K}_{\mathrm{a}}=4.0 \times 10^{-10}\right)$ and weak base $\mathrm{NH}_4 \mathrm{OH}$ $\left(\mathrm{K}_{\mathrm{b}}=1.8 \times 10^{-5}\right)$ showing that $\mathrm{K}_{\mathrm{a}} < \mathrm{K}_{\mathrm{b}}$. If $\mathrm{K}_{\mathrm{a}} < \mathrm{K}_{\mathrm{b}}$, the aqueous solution of the salt will be basic. Thus, the solution of $\mathrm{NH}_4 \mathrm{CN}$ is basic and turns red litmus blue.

Asked in: MHT CET 2023 (11 May Shift 1)

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