Chapter U1.4, Problem 10E

Interpretation Introduction

(a)

Interpretation:

The volume of liquid inside the container needs to be determined.

Concept introduction:

Liquids do not have any definite shape. They take the shape of the container in which they are placed. Liquids have definite volume.

Explanation of Solution

Given Information:

From the given figure, the volume of the liquid will be equal to the mark up to which it is filled in the measuring container.

From the markings on the container, the water level is up to 150 mL thus, the volume of liquid will be 150 mL.

Interpretation Introduction

(b)

Interpretation:

The volume of rock in mL and ${\text{cm}}^{\text{3}}$ needs to be determined.

Concept introduction:

If any solid substance is placed in a container containing liquid, the volume of solid will be equal to the volume of liquid displaced by it.

Explanation of Solution

Given Information:

The initial volume of the water is 150 mL. When rock is added to the container, the volume of the liquid increases and the final volume is equal to 200 mL.

The change in volume will be equal to the volume of the rock. It can be calculated as follows:

$\Delta V=\left(200-150\right)\text{ mL}=50\text{ mL}$

The volume in mL can be converted into ${\text{cm}}^3$ as follows:

$\Delta V=50\text{ mL}\left(\frac{1{\text{ cm}}^3}{1\text{ mL}}\right)=50{\text{ cm}}^3$

Thus, the volume of the rock is $50{\text{ cm}}^3$.