Question

octane , one of the componets of gasoline has a density of 0.703 g/cm3 . How many pounds dose a gallon of octane weigh?

Answer 1

Solution:

We convert gallon to cm³ by using following conversions.

1 Gallon to L and then L to cm³.

1 Ga = 3.78541 L

1 L = 1000 mL or cm³

Volume in cm³ = 1 Ga x( 3.785412 L/ 1 Ga) x (1000 L / 1 L)

= 3785.412 cm³

Lets now find mass by using density and volume relation

Density = mass / volume

So mass = density x volume

Mass in g = (0.703 g / cm³) x 3785.412 cm³

= 2661.14 g

Conversion of mass from g to pound.

1lb = 453.592 g

Conversion :

Mass in lb = 453.592 g x 1 lb / 453.592 g = 5.9 lb = 6.0 lb

So the mass in lb = 6.0 lb