   # A solution is formed by mixing 50.0 mL of 10.0 M NaX with 50.0 mL of 2.0 × 10 −3 M CuNO 3 . Assume that Cu + forms complex ions with X − as follows: Cu + ( a q ) + X − ( a q ) ⇌ C u X ( a q ) K 1 = 1.0 × 10 2 CuX ( a q ) + X − ( a q ) ⇌ C u X 2 − ( a q ) K 2 = 1.0 × 10 4 CuX 2 − ( a q ) + X − ( a q ) ⇌ C u X 3 2 − ( a q ) K 3 = 1.0 × 10 3 with an overall reaction Cu + ( a q ) + 3 X − ( a q ) ⇌ C u X 3 2 − ( a q ) K = 1.0 × 10 9 Calculate the following concentrations at equilibrium. a. Cux 3 2− b. CuX 2 − c. Cu + ### 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 69E
Textbook Problem
56 views

## A solution is formed by mixing 50.0 mL of 10.0 M NaX with 50.0 mL of 2.0 × 10−3 M CuNO3. Assume that Cu+ forms complex ions with X− as follows:   Cu + ( a q )   +   X − ( a q )   ⇌   C u X ( a q ) K 1   =   1.0   ×   10 2 CuX ( a q )   +   X − ( a q )   ⇌   C u X 2 − ( a q ) K 2   =   1.0   ×   10 4 CuX 2 − ( a q )   +   X − ( a q )   ⇌   C u X 3 2 − ( a q ) K 3   =   1.0   ×   10 3 with an overall reaction Cu + ( a q )   +   3 X − ( a q )   ⇌   C u X 3 2 − ( a q )   K   =   1.0   ×   10 9 Calculate the following concentrations at equilibrium.a. Cux32−b. CuX2−c. Cu+

(a)

Interpretation Introduction

Interpretation: The formation reaction of CuX32,CuX2,Cu+ , volume and concentration of NaX,CuNO3 is given. The concentration of each CuX32,CuX2,Cu+ ion at equilibrium is to be calculated from the given forward constants.

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

K=ConcentrationofproductsConcentrationofreactants

### Explanation of Solution

To determine: The concentration of CuX32 from the given condition.

The initial concentration of Cu+ in a solution is 1.0×103M_ and the initial concentration of X is 5.0M_ .

Given

Concentration of NaX before reaction is 10.0M .

Concentration of CuNO3 before reaction is 2.0×103M .

Volume of NaX is 50mL .

Volume of CuNO3 is 50mL .

It is assumed that the concentration of Cu+ and X is same as the concentration of CuNO3 and NaX . Hence, concentration of Cu+ and X is,

[Cu+]=2.0×103M[X]=10M

Formula

The initial concentration of compound is calculated using the formula,

Substitute the values of volume, given concentration of Cu+ and volume of original solution in the above equation.

(b)

Interpretation Introduction

Interpretation: The formation reaction of CuX32,CuX2,Cu+ , volume and concentration of NaX,CuNO3 is given. The concentration of each CuX32,CuX2,Cu+ ion at equilibrium is to be calculated from the given forward constants.

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

K=ConcentrationofproductsConcentrationofreactants

(c)

Interpretation Introduction

Interpretation: The formation reaction of CuX32,CuX2,Cu+ , volume and concentration of NaX,CuNO3 is given. The concentration of each CuX32,CuX2,Cu+ ion at equilibrium is to be calculated from the given forward constants.

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

K=ConcentrationofproductsConcentrationofreactants

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