   # Which compound should be more soluble in 0.1 MHCl (a) FeCO 3 ( K sp ≡ 3.1 ×10 −11 ) (b) AgCl( K sp ≡ 1.8 ×10 −10 ) ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 17.4, Problem 5RC
Textbook Problem
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## Which compound should be more soluble in 0.1 MHCl (a) FeCO3(Ksp ≡ 3.1 ×10−11) (b) AgCl(Ksp ≡ 1.8 ×10−10)

Interpretation Introduction

Interpretation:

The more solubility should be identifed given the statement of (FeCO3) and (AgCl) molecules  in 0.1 M HCl solution.

Concept introduction:

The solubility of a salt is defined as the maximium amount of salt that can be dissolved in definite amount of solvent. It is expressed in moles per liter or grams per liter. Solubility in terms of moles per liter is called molar solubility and is defined as the number of moles of solute (salt) dissolved in per liter of solution.

Solubility product constant Ksp is an equilibrium constant and is defined as the product of the equilibrium concentration of the ions of the salt raised to the power of their coefficients in the balanced chemical equation.

Expression for Ksp of a salt is given as,

AxBy(s)xAy+(aq)+yBx(aq)Ksp=[Ay+]x[Bx]y

Relation between Ksp and s is derived as follows,

EquationAxByxAy++yBxInitial(M)00Change(M)+xs+ysEquilibrium(M)xsys

Ksp=[Ay+]x[Bx]yKsp=(xs)x(ys)y=xxyy(s)x+y

Rearrange the expression for s .

(s)x+y=Kspxxyy=(Kspxxyy)1/(x+y)

Here,

• x is the coefficient of cation A+y
• y is the coefficient of anion Bx
• s is the molar solubility

Ksp is calculated by using molar solubility of the salt.

### Explanation of Solution

Solubility of salt FeCO3 in 0.1 MHCl solution is to be calculated as follows,

Given:

The value of solubility product Ksp of FeCO3 is 3.1×1011 in 0.1 MHCl solution.

FeCO3 when dissolved in 0.1 M HCl solution dissociate as

FeCO3(s) Fe2+(aq)+ CO32-(aq)

The ICE table is as follows,

EquationFeCO3Fe2++CO32Initial (M)00Change (M)+s+sEquilibrium (M) ss

Substitute s for [Fe2+] and for [ CO32] .

Ksp=s×sKsp=s2

The solubility of FeCO3 Ksp 3

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