Chapter U1.5, Problem 5E

Interpretation Introduction

Interpretation:

Two objects with 5 g mass are given with different densities. The object with larger volume needs to be determined.

Concept introduction:

A denser compound has lesser volume as compared to less denser compound with same mass. The relation between density, mass and volume is as follows:

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

Answer to Problem 5E

Volume of the compound with density 2.7 g/cm³ will be larger compared to the compound with density 8.4 g/cm³.

Explanation of Solution

As density is inversely proportional to volume so a matter with higher density will have smaller volume provided masses of both the matters are same.

In the given example both the compound has mass of 5 g. One has density 2.7 g/cm³ and the another has density of 8.4 g/cm³.

So, the substance with lesser density i.e 2.7 g/cm³ will have larger volume.

Conclusion

Substance with 2.7 g/cm³will have larger volume.