E85 fuel is a mixture of 85% ethanol and 15% gasoline by volume. What mass in kilograms of E85(d=0.758g/mL) can be continued in 14.0- gal tank. Please show how to get answer.

Respuesta :

Convert units for density to kg/gal
[tex]\frac{.758 g}{mL} * \frac{1 kg}{1000 g} *\frac{3785.41 mL}{1 gal} = 2.869341 \frac{kg}{gal}[/tex]

Multiply by number of gallons to get desired mass:
[tex]2.869341 \frac{kg}{gal} *14 gal = 40.17 kg[/tex]

The answer is: mass is 40.17 kilograms.

d = 0.758 g/mL; density of fuel.

V = 14.0 gal; volume.

A gallon is a unit of volume in both the US customary and imperial systems of measurement. The US gallon is defined as 231 cubic inches (3.785 liters).

1 gal = 3785.41 mL.

V = 14 gal · 3785.41 mL:

V = 52995.74 mL.

m = 52995.74 mL · 0.758 g/mL.

m = 40170.77 g; mass of fuel.

m = 40170.77 g ÷ 1000 g/kg.

m = 40.17 kg.