Chapter U3.56, Problem 9E

Interpretation Introduction

Interpretation: The mass of solid carbon dioxide required to fill 6.5 L of bag of carbon dioxide gas 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 9E

10.14 kg.

Explanation of Solution

The volume of solid carbon dioxide and carbon dioxide gas should be same to fill in the bag. Thus, the volume of solid carbon dioxide needed is also 6.5 L. The density of solid carbon dioxide is 1.56 g/mL, mass can be calculated from volume as follows:

  $m=d\times V$

Putting the values,

  $\begin{array}{l}m=\left(1.56\text{ g/mL}\right)\left(6.5\text{ L}\right)\left(\frac{1000\text{ mL}}{1\text{ L}}\right)\\ =10140\text{ g}\left(\frac{1\text{ kg}}{1000\text{ g}}\right)\\ =10.14\text{ kg}\end{array}$

Conclusion

Thus, the mass of solid carbon dioxide required is 10.14 kg.