Chapter 3, Problem 83A

Interpretation Introduction

Interpretation : The range of possible density for the wood is to be given.

Concept Introduction : The connectivity between mass and volume is density. The formula of density is given as:

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

Answer to Problem 83A

The range of density of wood is $0.69-0.789{\text{g/cm}}^3$ .

Explanation of Solution

Given information :

Wood floats in ethanol.

Wood sink in gasoline.

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:

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

To find the range of wood density, the density of ethanol and gasoline are to be compared.

Wood floats in ethanol means the density of wood is smaller than the density of ethanol.

But wood sinks in gasoline mean the density of wood is greater than the density of gasoline.

The density of ethanol is $0.789{\text{g/cm}}^3$ .

The density of gasoline is $0.66-0.69{\text{g/cm}}^3$ .

So, the range of wood density would be in between the densities of ethanol and gasoline.

The range of density of wood is $0.69-0.789{\text{g/cm}}^3$ .