Chapter 3, Problem 89A

Interpretation Introduction

Interpretation : The density of ethanol is to be calculated.

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 89A

The density of ethanol is $0.804{\text{g/cm}}^3$ .

Explanation of Solution

Given information:

The mass of water is $158\text{g}$ .

The density of water is $1.000{\text{g/cm}}^3$ .

The mass of ethanol is $127\text{g}$ .

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 calculate the density of ethanol, its volume should be known.

To find the volume, use the mass and density of water and substitute the values in the density equation.

The formula for volume is given as:

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

To calculate the volume of water, substitute the values in the above equation.

  $\begin{array}{c}\text{Volume =}\frac{\text{mass}}{\text{density}}\\ =\frac{158\text{g}}{1{\text{g/cm}}^3}\\ =158{\text{cm}}^3\end{array}$

To calculate the density of ethanol, substitute the values in the density formula.

  $\begin{array}{c}\text{Density =}\frac{\text{mass}}{\text{volume}}\\ =\frac{127\text{g}}{158{\text{cm}}^3}\\ =0.804{\text{g/cm}}^3\end{array}$

The density of ethanol is $0.804{\text{g/cm}}^3$ .