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Question: What is the concentration of Ag<sup>+</sup> ion in a 1L solution containing 0.02 mol of AgNO<sub>3</...

What is the concentration of Ag+ ion in a 1L solution containing 0.02 mol of AgNO3 and 0.14 mol of NH3. For Ag(NH3)2+, Kinstab = 108

A

2 × 10–7(M)

B

10–8(M)

C

2 × 10–8(M)

D

2 × 10–9(M)

Answer

2 × 10–8(M)

Explanation

Solution

Ag+ + 2NH3Ag(NH3)2+ 0.02 mol 0.14 mol

—0.1 mol 0.02 mol

108 = [Ag(NH3)2+][Ag+][NH3]2\frac { \left[ \mathrm { Ag } \left( \mathrm { NH } _ { 3 } \right) _ { 2 } ^ { + } \right] } { \left[ \mathrm { Ag } ^ { + } \right] \left[ \mathrm { NH } _ { 3 } \right] ^ { 2 } } = 0.02[Ag+]×0.01\frac { 0.02 } { \left[ \mathrm { Ag } ^ { + } \right] \times 0.01 }

or [Ag+] = 2 × 10–8 (M)