Chemical and Ionic Equilibrium - Result Question 17

17. $Ag^{+}+NH _3 \rightleftharpoons\left[Ag\left(NH _3\right)\right]^{+} ; K _1=3.5 \times 10^{-3}$

$\left[Ag\left(NH _3\right)\right]^{+}+NH _3 \rightleftharpoons\left[Ag\left(NH _3\right) _2\right]^{+} ; K _2=1.7 \times 10^{-3}$

then the formation constant of $\left[Ag\left(NH _3\right) _2\right]^{+}$is

(2006,3 M)

(a) $6.08 \times 10^{-6}$

(b) $6.08 \times 10^{6}$

(c) $6.08 \times 10^{-9}$

(d) None of these

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Answer:

Correct Answer: 17. (a)

Solution:

  1. $Ag^{+}+NH _3 \rightleftharpoons\left[Ag\left(NH _3\right)^{+}\right]$ $\hspace {15mm}$ $K _1=3.5 \times 10^{-3}$

$\dfrac {\left[Ag\left(NH _3\right)^{+}\right]+NH _3 \rightleftharpoons\left[Ag\left(NH _3\right) _2^{+}\right] \quad K _2=1.7 \times 10^{-3}}{Adding : Ag^{+}+2 NH _3 \rightleftharpoons\left[Ag\left(NH _3\right) _2^{+}\right]}$

$K=K _1 \times K _2=5.95 \times 10^{-6}$