Chapter 19: Q19.72P (page 875)

The solubility of silver dichromate at $15 ° C$ is $8.3 \times 10^{- 3} g / 100 mL$ solution. Calculate its $K_{s p}$ .

Short Answer

Expert verified

The $K_{s p}$ of silver dichromate is $2.84 \times 10^{- 11}$ .

Step by step solution

Concept Introduction

The chemical substance silver dichromate has the formula ${Ag}_{2} {Cr}_{2} O_{7}$ .

It is water insoluble and decomposes when exposed to hot water.

Its anion has a $- 2$ charge.

Constructing the ICE table

To calculate the $K_{sp}$ of silver dichromate, we first need to write the reaction equation of the dissolution of ${Ag}_{2} {Cr}_{2} O_{7}$ .

${Ag}_{2} {Cr}_{2} O_{7} ⇌ 2 {Ag}^{+} + {Cr}_{2} O_{7}^{2 -}$

Write the $K_{sp}$ expression for the reaction.

$K_{sp} = {[{Ag}^{+}]}^{2} [{Cr}_{2} O_{7}^{2 -}]$

Constructing the ICE table,

Now, we need to substitute it for the $K_{s p}$ expression.

$K_{sp} {= [2s]}^{2} [s] K_{sp} {= 4s}^{3}$

Solving for $s$ from the solubility given,

localid="1663315831345" $s = \frac{mol}{L} = \frac{8.3 \times 10^{- 3} g {Ag}_{2} {Cr}_{2} O_{7} \times \frac{1 mol {Ag}_{2} {Cr}_{2} O_{7}}{431.76 g {Ag}_{2} {Cr}_{2} O_{7}}}{100 mL \times \frac{1 L}{1000 mL}} = 1.92 \times 10^{- 4} .$

Calculating the Ksp of silver dichromate

Now solve for $K_{sp}$ ,

$K_{s p} = 4 s^{3} = 4 {(1.92 \times 10^{- 4})}^{3} = 2.84 \times 10^{- 11}$

Therefore, the $K_{s p}$ of silver dichromate is $2.84 \times 10^{- 11}$ .

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The solubility of silver dichromate at $15 ° C$ is $8.3 \times 10^{- 3} g / 100 mL$ solution. Calculate its $K_{s p}$ .

Short Answer

Step by step solution

Concept Introduction

Constructing the ICE table

Calculating the Ksp of silver dichromate

One App. One Place for Learning.

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The solubility of silver dichromate at 15°C is 8.3×10-3g/100mL solution. Calculate its Ksp.

Short Answer

Step by step solution

Concept Introduction

Constructing the ICE table

Calculating the Ksp of silver dichromate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Chemical Analysis

Ionic and Molecular Compounds

Chemical Reactions

The Earths Atmosphere

Inorganic Chemistry

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Study anywhere. Anytime. Across all devices.

The solubility of silver dichromate at $15 ° C$ is $8.3 \times 10^{- 3} g / 100 mL$ solution. Calculate its $K_{s p}$ .