   # In the presence of NH 3 , Cu 2+ forms the complex ion Cu(NH 3 ) 4 2+ . If the equilibrium concentrations of Cu 2+ and Cu(NH 3 ) 4 2+ are 1.8 × 10 −17 M and 1.0 × 10 −3 M , respectively, in a 1.5- M NH 3 solution, calculate the value for the overall formation constant of Cu(NH 3 ) 4 2+ . Cu 2+ ( a q ) + 4 N H 3 ( a q ) ⇌ C u ( N H 3 ) 4 2 + ( a q ) K overall = ? ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 15, Problem 64E
Textbook Problem
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## In the presence of NH3, Cu2+ forms the complex ion Cu(NH3)42+. If the equilibrium concentrations of Cu2+ and Cu(NH3)42+ are 1.8 × 10−17 M and 1.0 × 10−3 M, respectively, in a 1.5-M NH3 solution, calculate the value for the overall formation constant of Cu(NH3)42+. Cu 2+ ( a q )   +   4 N H 3 ( a q )   ⇌   C u ( N H 3 ) 4 2 + ( a q )   K overall   =   ?

Interpretation Introduction

Interpretation: The combination reaction of NH3 and Cu2+ , the equilibrium concentration of Cu2+ and that of Cu(NH3)42+ in a solution of 1.5M NH3 is given. The overall formation constant of Cu(NH3)42+ is to be calculated.

Concept introduction: At equilibrium, the equilibrium constant expression is expressed by the formula,

K=ConcentrationofproductsConcentrationofreactants

### Explanation of Solution

Explanation

To determine:. The overall formation constant of Cu(NH3)42+ for the given reaction.

Given

The equilibrium concentration of Cu2+ is 1.8×1017M .

The equilibrium concentration of Cu(NH3)42+ is 1.0×103M .

Concentration of NH3 is 1.5M .

The reaction that takes place is,

Cu2+(aq)+4NH3(aq)Cu(NH3)42+(aq)

It is assumed that the concentration of NH3 is same as the concentration of NH3 . Hence, concentration of NH3 is,

[NH3]=1.5M

Formula

At equilibrium, the formation constant expression is expressed by the formula,

K=ConcentrationofproductsConcentrationofreactants

Where,

• K is the formation constant

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