Question

The unit for density found in many density tables is kg/m3. At a certain temperature, the gasoline you pump into your car’s gas tank has a density of 732.22 kg/m3. If your tank has a capacity of 12 gallons, how many grams of gasoline are in your tank when it is full? How many pounds?

You may enter answers using e-notation.

For example, 1.3 × 10-8 would be entered as 1.3E-8.

g

lbs

Answer 1

5.12x10+5 lbs

2.32E+9 g

Step-by-step explanation:

Density = 732.22 kg/m^3

Volume = 12 gal

Conversion Factor: 0.00378541 gal/m^3 or 264.1721769 m^3/gal

Convert 12 gallons to m^3: (12 gal)*(264.2 m^3/gal) = 3170 m^3 in 12 gal

Determine total mass from volume: (3170 m^3/12 gal)(732.2 kg/m^3) = 2321186 kg in 12 gal.

Conversion Factor: 1000 g/kg

Mass of gasoline: (2321186 kg)*(1000g/kg) = 2.32E+9 g

Conversion Factor: 0.453592 kg/lb or 2.20462442 lb/kg

Yotal wieght = 231186 kg)*(2.205 lb/kg = 511734 lbs (5.12E+5 lbs)