Chapter 16, Problem 99A

(a)

Interpretation Introduction

Interpretation: The solubility of $KN{O}_3$ at $76°C$ and at $33°C$ is to be estimated.

Concept Introduction: The solubility of a solute is the highest amount of the solute that can be dissolved in a fixed amount of solvent at a particular temperature.

Answer to Problem 99A

The solubility of the $KN{O}_3$ at $76°C$ is approximately $15\text{ mol/kg}$ and at $33°C$ the solubility will be approximately $4.55\text{ kg/mol}$ .

Explanation of Solution

The given data is:

Temperature $\left(°C\right)$	Solubility $\left(mol/kg\right)$
0	1.61
20	2.80
40	5.78
60	11.20
80	16.76
100	24.50

The graph of the given data is as follows:

  

The solubility of a solute is the highest amount of solute that can be dissolved in a fixed amount of solvent at a particular temperature. The solubility of the $KN{O}_3$ at $76°C$ is approximately $15\text{ mol/kg}$ and at $33°C$ the solubility will be approximately $4.55\text{ kg/mol}$ .

(b)

Interpretation Introduction

Interpretation: The temperature on which the solubility of $KN{O}_3$ will be $17.6\text{ mol/kg}$ is to be estimated.

Concept Introduction: Solubility of a solute is the highest amount of the solute that can be dissolved in a fixed amount of solvent at a particular temperature.

  

Answer to Problem 99A

The solubility of the $KN{O}_3$

  $17.6\text{ mol/kg}$ will be at $\text{84}\text{.5 }°C$ .

Explanation of Solution

The solubility of $KN{O}_3$

  $17.6\text{ mol/kg}$ can be concluded, will be at $\text{84}\text{.5 }°C$ .

(c)

Interpretation Introduction

Interpretation : The temperature on which the solubility of $KN{O}_3$ will be $4.24\text{ mol/kg}$ is to be estimated.

Concept Introduction: The solubility of a solute is the highest amount of the solute that can be dissolved in a fixed amount of solvent at a particular temperature.

Answer to Problem 99A

The solubility of the $KN{O}_3$ will be $4.24\text{ mol/kg}$ at $30°C$ .

Explanation of Solution

  

The graph of solubility vs temperature shows the relation between these two measuring quantity and the solubility of the $KN{O}_3$ will be $4.24\text{ mol/kg}$ at $30°C$ .