Chemical and Ionic Equilibrium 1 Question 16

17. $\mathrm{Ag}^{+}+\mathrm{NH}{3} \rightleftharpoons\left[\mathrm{Ag}\left(\mathrm{NH}{3}\right)\right]^{+} ; K_{1}=3.5 \times 10^{-3}$

$\left[\mathrm{Ag}\left(\mathrm{NH}{3}\right)\right]^{+}+\mathrm{NH}{3} \rightleftharpoons\left[\mathrm{Ag}\left(\mathrm{NH}{3}\right){2}\right]^{+} ; K_{2}=1.7 \times 10^{-3}$

then the formation constant of $\left[\mathrm{Ag}\left(\mathrm{NH}{3}\right){2}\right]^{+}$is

(2006,3M)

(a) 6.08×106

(b) 6.08×106

(c) 6.08×109

(d) None of these

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Solution:

  1. $\mathrm{Ag}^{+}+\mathrm{NH}{3} \rightleftharpoons\left[\mathrm{Ag}\left(\mathrm{NH}{3}\right)^{+}\right]$

K1=3.5×103

$\left[\mathrm{Ag}\left(\mathrm{NH}{3}\right)^{+}\right]+\mathrm{NH}{3} \rightleftharpoons\left[\mathrm{Ag}\left(\mathrm{NH}{3}\right){2}^{+}\right] \quad K_{2}=1.7 \times 10^{-3}$

Adding : $\mathrm{Ag}^{+}+2 \mathrm{NH}{3} \rightleftharpoons\left[\mathrm{Ag}\left(\mathrm{NH}{3}\right)_{2}^{+}\right]$

K=K1×K2=5.95×106