Q. 2.89 - An Introduction to General, Organic, and Biological Chemistry

Question

Each of the following diagrams represents a container of water and a cube. Some cubes float while others sink. Match diagrams $1. 2, 3, or 4$ with one of the following descriptions and explain your choices: $(2.7)$

a. The cube has a greater density than water.

b. The cube has a density that is $0.80 \mathrm{g}/\mathrm{mL}$.

c. The cube has a density that is one-half the density of water.

d. The cube has the same density as water.

Step-by-Step Solution

Answer

(a) The diagram 3 will show a cube with a higher density than water. 

(b) The diagram 4 will show a cube has a density that is 0.80 g/mL. 

(c) The diagram 1 will show the cube has a density that is one-half the density of water. 

(d) The diagram 2 will show the cube has the same density as water. 

Part (a) Step 1 : Introduction

The given are the pictures of a container of water with a solid submerged in it

The objective is to explain the choices given accordingly

Part (a) Step 2 : Explanation

a. 

Any substance with a lower density than water will float on it, while any substance with a higher density will sink in it. Because it has a higher density than water, the cube will sink in water.

As a result, diagram $3$ will show a cube with a higher density than water.

Part (b) Step 3 : Introduction

The given are the pictures of a container of water with a solid submerged in it

The objective is to explain the choices given accordingly

Part (b) Step 4 : Explanation

b.

Because the density of the cube is $\$20$ percent less than that of water, one-fifth of the cube will float.

As a result, diagram $4$ will clearly depict it.

Part (c) Step 5: Introduction

The given are the pictures of a container of water with a solid submerged in it

The objective is to explain the choices given accordingly

Part (c) Step 6 : Explanation

C.

Because the density of a cube is half that of water, half of the cube will float in water.

As a result, diagram $1$ will clearly depict it.

Part (d) Step 7 : Introduction

The given are the pictures of a container of water with a solid submerged in it

The objective is to explain the choices given accordingly

Part (d) Step 8 : Explanation

d. Because the cube's density is the same as that of water, it will dip and float on the water's surface.

As a result, diagram $2$ will clearly depict it.