   # A solution contains 1.0 × 10 −5 M Na 3 PO 4 . What is the minimum concentration of AgNO 3 that would cause precipitation of solid Ag 3 PO 4 ( K sp = 1.8 × 10 −18 ) ### 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 57E
Textbook Problem
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## A solution contains 1.0 × 10−5 M Na3PO4. What is the minimum concentration of AgNO3 that would cause precipitation of solid Ag3PO4 (Ksp = 1.8 × 10−18)

Interpretation Introduction

Interpretation: The concentration of Na3PO4 and solubility product of Ag3PO4 is given. The minimum concentration of AgNO3 that causes precipitation of solid Ag3PO4 is to be calculated.

Concept introduction: The formation of solid in a solution is known as precipitation.

Solubility product, Ksp is defined as the concentration of ions in a saturated solution where each ion is raised to the power of their coefficients. Ion product, Q is defined as the initial concentration of ions in any solution where each ion is raised to the power of their coefficients.

The relation between ion product, Q and solubility product, Ksp is as follows.

• If Ksp>Q , then no precipitate will form.
• If Ksp<Q , then precipitate will form.
• If Ksp=Q , then the solution will be in just saturation.

### Explanation of Solution

Explanation

To determine: The minimum concentration of AgNO3 that causes precipitation of solid Ag3PO4 .

Required concentration of AgNO3 is 5.6×105M_ .

Given

Concentration of Na3PO4 is 1.0×105M .

Solubility product of Ag3PO4 is 1.8×1018 .

The AgNO3 will only precipitate out during mixing of Na3PO4 and Ag3PO4 if,

Ksp<Q

The dissociation reaction of Ag3PO4 is,

Ag3PO4(s)3Ag+(aq)+PO43(aq)

It is assumed that the concentration of PO43 is same as the concentration of sodium phosphate (Na3PO4) . Hence, concentration of PO43 is,

[PO43]=1.0×105M

The initial concentration of Ag+ will be same as the minimum concentration of AgNO3 . If the concentration of Ag+ exceeds the Ksp=Q condition, then precipitate will form

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