Question

Air has a density of 0.001226 g/mL. What volume of air would have a mass of 1.0 lb? A. 2.7 mL B. 815.6 mL C. 37 mL D. 3.7 × 102 L

Answer 1

`Volume = 3.7\ * 10^2\ L`

Explanation:

Given

`Density = 0.001226 g/mL`

`Mass = 1.0\ lb`

Required

Determine the volume of air

Density is calculated using:

`Density = (Mass)/(Volume)`

Substitute values for Density and Mass

`0.001226 g/mL = (1.0\ lb)/(Volume)`

Convert lb to grams

`0.001226 g/mL = (1.0 * 453.592\ g)/(Volume)`

`0.001226 g/mL = (453.592\ g)/(Volume)`

Solve for Volume

`Volume = (453.592\ g)/(0.001226 g/mL)`

`Volume = 369977.161501\ mL`

Convert mL to L

`Volume = 369977.161501\ L * 0.001`

`Volume = 369.977161501\ L`

Represent using scientific notation

`Volume = 3.69977161501\ * 10^2\ L`

Approximate

`Volume = 3.7\ * 10^2\ L`