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Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

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BuyFindarrow_forward

Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
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. The three common silver halides (AgCI, AgBr, and AgI) are all sparingly soluble salts. Given the values for Kspfor these salts below, calculate the concentration of silver ion, in mol/L, in a saturated solution of each salt.

    Silver Halide
    Ksp
    AgCl

       1.8 × 10 10
    AgBr

       5.0 × 1 0 13
    AgI
    8.3 × 10 17

Interpretation Introduction

Interpretation:

The concentration of silver ion, in mol/L, in a saturated solution of each salt is to be calculated.

Concept Introduction:

The solubility product is represented by Ksp. It is the equilibrium constant that exists between solid substances and their dissociated ions.

The solubility product describes the solubility of the solid substance in the solvent at the particular temperature. The solubility product of the substance is directly related to its solubility in the solvent.

Explanation

The given salt is AgCl. Its Ksp value is given to be 1.8×1010.

The balanced chemical equation for ionization of AgCls is shown below.

AgClsAg+aq+Claq

The expression of Ksp for the above equation is shown below.

Ksp=Ag+Cl

Where,

  • Ksp is the solubility product.
  • Ag+ is the concentration of silver ion.
  • Cl is the concentration of chlorine ion.

Both Ag+ and Cl are assumed to be s. Hence, the expression of Ksp is,

Ksp=s×s=s2

Substitute the value of Ksp in the above expression.

s2=1.8×1010s=1.8×1010=1.3×105mol/L

Therefore, the concentration of silver ion in a saturated solution of AgCls is 1.3×105 mol/L.

The second salt is AgBr. Its Ksp value is given to be 5.0×1013.

The balanced chemical equation for ionization of AgBrs is shown below.

AgBrsAg+aq+Braq

The expression of Ksp for the above equation is shown below.

Ksp=Ag+Br

Where,

  • Ksp is the solubility product.
  • Ag+ is the concentration of silver ion.
  • Br is the concentration of bromide ion.

Both Ag+ and Br are assumed to be s

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