Chapter U3.51, Problem 8E

(a)

Interpretation Introduction

Interpretation: The volume of the box containing 500 g of corn oil 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 8E

  $543.5\text{ mL}$

Explanation of Solution

The mass and volume are related to density as follows:

  $d=\frac{m}{V}$

The density of corn oil is 0.92 g/mL. The mass is given 500 g thus, the volume can be calculated as follows:

  $V=\frac{m}{d}$

Putting the values,

  $V=\frac{500\text{ g}}{0.92\text{ g/mL}}=543.5\text{ mL}$

Thus, the volume of corn oil is 543.5 mL.

(b)

Interpretation Introduction

Interpretation: The volume of the box containing 500 g of lead 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 8E

  $44.05\text{ mL}$

Explanation of Solution

The mass and volume is related to density as follows:

  $d=\frac{m}{V}$

The density of lead is 11.35 g/mL. The mass is given 500 g, thus, the volume can be calculated as follows:

  $V=\frac{m}{d}$

Putting the values,

  $V=\frac{500\text{ g}}{11.35\text{ g/mL}}=44.05\text{ mL}$

Thus, the volume of the box containing 500 g of lead is $44.05\text{ mL}$ .