
Andrew M. answered 10/01/15
Tutor
New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors
We have to do a lot of playing with units here in converting.
First, how many liters are there in 25 gallons of gasoline given that
1.00 gal = 3.785L
(25gal)(3.785 L/gal) = 94.625L
We have 94.625L of gasoline. However, our density is given in g/mL
Note: 1L = 1000 mL
(94.625L)(1000 mL/L) = 94,625mL of gasoline
We have 94,625mL of gasoline with a density of .79g/mL
(94,625mL)(.79g/mL) = 74,753.75g
We have a mass of 74,753.75g of gasoline, but we want this in kg
(74,753.75g)(1kg/1000g)
= 74.75375kg
Round this to however many decimals you need
Mass gasoline ≅ 74.754 kg