Chapter U3.3, Problem 7E

(a)

Interpretation Introduction

Interpretation: The mass of ice in box of volume 17.5 mL needs to be determined.

Concept Introduction:

The density of a substance is related to its mass and volume as follows:

  $d=\frac{m}{V}$

Here, m is mass and V is volume.

Answer to Problem 7E

16.1 g.

Explanation of Solution

The mass and volume is related to density as follows:

  $d=\frac{m}{V}$

The density of ice is 0.92 g/mL. The volume of box is 17.5 mL thus, mass can be calculated as follows:

  $m=V\times d$

Putting the values,

  $m=\left(17.5\text{ mL}\right)\left(0.92\text{ g/mL}\right)=16.1\text{ g}$

Thus, mass of ice is 16.1 g.

(b)

Interpretation Introduction

Interpretation: The mass of liquid water in box of volume 17.5 mL needs to be determined.

Concept Introduction:

The density of a substance is related to its mass and volume as follows:

  $d=\frac{m}{V}$

Here, m is mass and V is volume.

Answer to Problem 7E

17.5 g.

Explanation of Solution

The mass and volume is related to density as follows:

  $d=\frac{m}{V}$

The density of liquid water is 1 g/mL. The volume of box is 17.5 mL thus, mass can be calculated as follows:

  $m=V\times d$

Putting the values,

  $m=\left(17.5\text{ mL}\right)\left(\text{1 g/mL}\right)=17.5\text{ g}$

Thus, mass of liquid water is 17.5 g.