Answer:
[tex]Volume = 3.7\ * 10^2\ L[/tex]
Step-by-step explanation:
Given
[tex]Density = 0.001226 g/mL[/tex]
[tex]Mass = 1.0\ lb[/tex]
Required
Determine the volume of air
Density is calculated using:
[tex]Density = \frac{Mass}{Volume}[/tex]
Substitute values for Density and Mass
[tex]0.001226 g/mL = \frac{1.0\ lb}{Volume}[/tex]
Convert lb to grams
[tex]0.001226 g/mL = \frac{1.0 * 453.592\ g}{Volume}[/tex]
[tex]0.001226 g/mL = \frac{453.592\ g}{Volume}[/tex]
Solve for Volume
[tex]Volume = \frac{453.592\ g}{0.001226 g/mL}[/tex]
[tex]Volume = 369977.161501\ mL[/tex]
Convert mL to L
[tex]Volume = 369977.161501\ L * 0.001[/tex]
[tex]Volume = 369.977161501\ L[/tex]
Represent using scientific notation
[tex]Volume = 3.69977161501\ * 10^2\ L[/tex]
Approximate
[tex]Volume = 3.7\ * 10^2\ L[/tex]
