Chapter 2.1, Problem 9SSC

Interpretation Introduction

Interpretation:

The samples having the same density need to be determined.

Concept introduction:

Mass in a measure of the amount of matter an object contains. Volume is the space occupied by an object. Density is defined as the amount of mass per unit volume.

Answer to Problem 9SSC

Density of sample B and C is the same that is $3g/c{m}^3$ and $3.0g/mL$ respectively.

Explanation of Solution

Given information:

Mass of Sample A: 80 g, Volume of sample A: 20 mL. Mass of Sample B: 12 g, Volume of Sample B: 4 $c{m}^3$ and Mass of Sample C: 33 g, Volume of Sample C: 11 mL.

Density is the amount of mass per unit volume. Common unit of density for solids is grams per cubic centimeter $(g/c{m}^3)$ and for liquid and gases it is grams per milliliter (g/mL).

Since, $Density=\frac{Mass}{Volume}$

Therefore,

• Density of A $=\frac{80g}{20mL}=4g/mL$
• Density of B $=\frac{12g}{4c{m}^3}=3g/c{m}^3$
• Density of C $=\frac{33g}{11mL}=3.0g/mL$

Conclusion

Thus, sample B and sample C have the same density.