Chapter U1, Problem 2RE

Interpretation Introduction

Interpretation:

The object that takes up more space and the volume occupied by them needs to selected from the given two objects.

Concept introduction:

The ratio of mass and volume is said to be density. The formula is represented as:

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

Answer to Problem 2RE

The object made up of lead takes up more space. The volume occupied by object made up of lead and aluminum is $1.75\text{ mL}$ and $7.41\text{ mL}$ respectively.

Explanation of Solution

Given:

Two objects having mass $\text{20}\text{.0 g}$ :

One is made up of lead with density $\text{11}\text{.4 g/mL}$ and the other one is made up of aluminum having density $\text{2}\text{.7 g/mL}$.

In order to determine the space occupied by the given two objects the volume of each is calculated as:

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

• The volume of object made up of lead is:

$\begin{array}{l}\text{volume = }\frac{\text{20}\text{.0 g}}{\text{11}\text{.4 g/mL}}\\ \text{volume = }1.75\text{ mL}\end{array}$

• The volume of object made up of aluminum is:

$\begin{array}{l}\text{volume = }\frac{\text{20}\text{.0 g}}{\text{2}\text{.7 g/mL}}\\ \text{volume = }7.41\text{ mL}\end{array}$

Thus, the volume occupied by object made up of lead and aluminum is $1.75\text{ mL}$ and $7.41\text{ mL}$ respectively.

Since, the volume occupied by aluminum is greater than lead so, the object made up of lead takes up more space.