Chapter 6, Problem 6.57P

Interpretation Introduction

(a)

Interpretation:

To explain if the use of the container at given temperature is safe using the given values in the question and based on Raoult’s Law.

Concept introduction:

Raoult’s Law can be used to find the molecular mass of an unknown solute like in this question we need to find the partial pressure of water.

Antoine equation is an empirical equation

${\log }_{10}{p}^{\ast }=A-\frac{B}{\left(T+C\right)}$

Where A, B, C are the coefficients and T is the temperature.

Mole fraction can be defined as the ratio of one of the components to the total mixture of the substances given by:

$x_A=\frac{n_A}{n_A+n_B}$, where $x_A$ is the mole fraction.

Interpretation Introduction

(b)

Interpretation:

To explain the assumption regarding no change in liquid composition is reasonable.

Concept introduction:

Raoult’s can be used to find the molecular mass of an unknown solute like in this question we need to find the partial pressure of water.

Let us assume, the vapor to be an ideal gas. So, the pressure is directly proportional to the temperature given by:

$\frac{P_1}{P_2}=\frac{T_1}{T_2}$