Ag+ + NH3 leftharpoons [ Ag ( NH3 ) ]+ ; K1 = 3.5 × 10 - 3 [ Ag ( NH3 )]+ + NH3 leftharpoons [ Ag (NH3 )2 ]+ ; K2 = 1.7 × 10 - 3 then the formation constant of [ Ag (NH3)2]+ is...

Question

Ag+ + NH3 leftharpoons [ Ag ( NH3 ) ]+ ; K1 = 3.5 × 10 - 3 [ Ag ( NH3 )]+ + NH3 leftharpoons [ Ag (NH3 )2 ]+ ; K2 = 1.7 × 10 - 3 then the formation constant of [ Ag (NH3)2]+ is... (A) 6.08 × 10 - 6  (B) 6.08 × 106  (C) 6.08 × 10 - 9  (D) 5.95 × 10 - 6

Tardigrade Admin · Accepted Answer

Ag ++ NH 3 leftharpoons[ Ag ( NH 3)+] K1=3.5 × 10-3 ([ Ag ( NH 3)+]+ NH 3 leftharpoons[ Ag ( NH 3)2+] K2=1.7 × 10-3/ text Adding: Ag ++2 NH 3 leftharpoons[ Ag ( NH 3)2+]) K=K1 × K2=5.95 × 10-6

Q. $A g^{+} + N H_{3} ⇌ [A g (N H_{3})]^{+}; K_{1} = 3.5 \times 1 0^{- 3}$
$[A g (N H_{3})]^{+} + N H_{3} ⇌ [A g (N H_{3})_{2}]^{+}; K_{2} = 1.7 \times 1 0^{- 3}$
then the formation constant of $[A g (N H_{3})_{2}]^{+}$ is...

$6.08 \times 1 0^{- 6}$

$6.08 \times 1 0^{6}$

$6.08 \times 1 0^{- 9}$

$5.95 \times 1 0^{- 6}$

$A g^{+} + N H_{3} ⇌ [A g (N H_{3})^{+}] K_{1} = 3.5 \times 1 0^{- 3}$
$\frac{[ A g ( N H _{3} ) ^{+} ] + N H _{3} ⇌ [ A g ( N H _{3} ) _{2}^{+} ] K _{2} = 1.7 \times 1 0 ^{- 3}}{Adding : A g ^{+} + 2 N H _{3} ⇌ [ A g ( N H _{3} ) _{2}^{+} ]}$
$K = K_{1} \times K_{2} = 5.95 \times 1 0^{- 6}$

Q. Ag++NH3​⇌[Ag(NH3​)]+;K1​=3.5×10−3 [Ag(NH3​)]++NH3​⇌[Ag(NH3​)2​]+;K2​=1.7×10−3 then the formation constant of [Ag(NH3​)2​]+ is...

6.08×10−6

6.08×106

6.08×10−9

5.95×10−6