Chapter 13, Problem 105E

Interpretation Introduction

Interpretation:

The temperature range is to be calculated in which solution of sucrose in water remains a liquid at $1\text{ atm}$.

Concept Introduction:

A non-volatile solute, when added to water, elevates the boiling point of water. The temperature range at which the solution remains a liquid increases.

The boiling point elevation of a solution is:

$\Delta T_{\text{b}}=m\times K_{\text{b}}$

Here, $\Delta T_{\text{b}}$ is the change in temperature of the boiling point in degree Celsius, $K_{\text{b}}$ is the boiling point elevation constant and $m$ is the molality of the solution.

The molality is defined as the ratio of moles of solute to the kilogram solvent.

$\text{molality}=\frac{\text{moles solute}}{\text{kilogram solvent}}$

The number of moles $\left(n\right)$ defined as the ratio of mass to the molar mass.

$n=\frac{\text{Mass}}{\text{Molar mass}}$