SATHEE: Chemical and Ionic Equilibrium - Result Question 17

Chemical and Ionic Equilibrium - Result Question 17

####17. $A g^{+} + N H_{3} ⇌ {[A g (N H_{3})]}^{+}; K_{1} = 3.5 \times 10^{- 3}$

${[A g (N H_{3})]}^{+} + N H_{3} ⇌ {[A g {(N H_{3})}_{2}]}^{+}; K_{2} = 1.7 \times 10^{- 3}$

then the formation constant of ${[A g {(N H_{3})}_{2}]}^{+}$ 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

Show Answer

Solution:

$A g^{+} + N H_{3} ⇌ [A g {(N H_{3})}^{+}]$

$K_{1} = 3.5 \times 10^{- 3}$

$[A g {(N H_{3})}^{+}] + N H_{3} ⇌ [A g {(N H_{3})}_{2}^{+}] K_{2} = 1.7 \times 10^{- 3}$

Adding : $A g^{+} + 2 N H_{3} ⇌ [A g {(N H_{3})}_{2}^{+}]$

$K = K_{1} \times K_{2} = 5.95 \times 10^{- 6}$

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