The diesel tank on my car can hold 18.5 gallons. The average density of diesel f

Question

The diesel tank on my car can hold 18.5 gallons. The average density of diesel fuel is 0.832 kg/L, which is more dense than that of gasoline.

Conversion factors that may help you: 1 gallon = 3.785L; 1 lb = 453.59 g; 1 kg = 2.2 pounds

1. When my tank is full, what is the mass of the fuel in pounds?

2. Fuels are made from long chain hydrocarbon alkanes, ranging from 8-21 carbon atoms. The average diesel fuel formula is C12H23 (12 and 23 are subscripts). Looking at my gas gauge, I have about 1/4 of a tank of fuel remaining (4.625 gal). How many moles of diesel fuel are in my tank?

All work must be shown, labeled, and explained in detail to receive credit. Note that superscripts (X2) can be written as X^2 and subscripts (X2) can be written as X_2 if it saves you time. Be careful to account for significant figures in your final answers.

Explanation / Answer

18.5 gallons= 18.5*3.785L=70.0225 L   density = 0.832 kg/L

Mass of 18.5 gallons of diesel= Volume* density = 70.0225*0.832 Kg=58.26 kg

1 kg =2.2 pounds

58.26 kg = 58.26*2.2=128.172 pounds of diesel

b) Formula of diesel C12H23, molecular weight =12*12+23= 167

Mass of diesel= 4.625*0.832 kg =3.848 kg =3848 gm

Moles of diesel =mass/Molecular weight = 3848/167=23.04 moles

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