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Chemistry Question on coordination compounds

Ag++NH3<=>[Ag(NH3)]+; {Ag+ + NH3 <=> [Ag(NH3)]+;} k1=6.8×10−3k_1 = 6.8 \times 10^{-3} [Ag(NH3)]++NH3<=>[Ag(NH3)2]+; {[Ag(NH3)]+ + NH3 <=> [Ag(NH3)2]+ ;} k2=1.6×10−3k_2 = 1.6 \times 10^{-3} then the formation constant of the complex [Ag(NH3)2]+[Ag(NH_3)_2]^+ is

A

1.08×10−71.08 \times 10^{-7}

B

1.08×10−51.08 \times 10^{-5}

C

1.08×10−91.08 \times 10^{-9}

D

none of thee

Answer

1.08×10−51.08 \times 10^{-5}

Explanation

Solution

K=k1?k2K = k_{1} ? k_{2} =(6.8×10−3)×(1.6×10−3)=1.08×10−5= \left(6.8 \times 10^{-3}\right)\times \left(1.6 \times 10^{-3}\right) = 1.08 \times 10^{-5}