Chapter 3, Problem 106A

Interpretation Introduction

Interpretation : The mass of the flask is to be calculated.

Concept Introduction : The measure of how densely a material is packed together is called density. It is described as the mass per unit volume.

Answer to Problem 106A

The mass of the flask is $84.21\text{g}$ .

Explanation of Solution

Density is defined as the ratio of mass to volume. It gives the connectivity between mass and volume.

The formula of density is given as:

  $\text{Density =}\frac{\text{mass}}{\text{volume}}$

The graph is plotted between the volume and mass.

  

With the help of a graph, the intercept is found.

The intercept value gives the mass of the flask before the addition of liquid.

The intercept value gives the mass of the flask.

So, the mass of the flask is $84.21\text{g}$ .

Interpretation Introduction

Interpretation : The density of the liquid is to be calculated.

Concept Introduction : The measure of how densely a material is packed together is called density. It is described as the mass per unit volume.

Answer to Problem 106A

The density of the liquid is $1.3\text{g/mL}$ .

Explanation of Solution

Density is defined as the ratio of mass to volume. It gives the connectivity between mass and volume.

The formula of density is given as:

  $\text{Density =}\frac{\text{mass}}{\text{volume}}$

The slope of the graph gives the density of the liquid.

To check the value, density can also be calculated from the given data.

Consider the first two values of mass and volume.

The density is given as:

  $\begin{array}{c}\text{Density =}\frac{\text{mass}}{\text{volume}}\\ =\frac{\left(120.4-103.0\right)\text{g}}{\left(27-14\right)\text{mL}}\\ =1.3\text{g/mL}\end{array}$

The density of the liquid is the same as that of the slope from the graph.