I would convert 15.0 gal to liters. There are 3.785 L in 1 gallon.Convert liters to mL. There are 1000 mL in 1 L.
Then mass in grams gasoline = volume in mL x density in grams/mL.
Now convert grams to pounds knowing there are 453.6 grams in 1 pound.
Post your work if you get stuck.
An automobile gasoline tank holds 15.0 gal when full. How many pounds of gasoline will it hold if the gasoline has a density of 0.737 g/mL?
3 answers
2121
The density can be used as a conversion factor between mass and volume. Or, you can plug values into this formula and solve for the desired quantity.
density=massvolume
In the first calculation, you are given the mass in grams and the volume in cubic centimeters and asked to calculate the density in grams per cubic centimeter. Insert the given quantities into the density equation and solve for the density.
density=massvolume=50.3 g23.1 cm3=2.18 g/cm3
In the second calculation you are given the mass in grams and the density in grams per milliliter and asked to calculate the volume in milliliters. Rearrange the density equation to solve for the volume in terms of the density and mass.
volume=massdensity
Insert the given values and solve for the density.
volume=21.7 g0.791 g/mL=27.4 mL
Alternatively, you can use the density as a conversion factor to convert from mass to volume.
21.7 g×1 mL0.791 g=27.4 mL
In the third calculation, you are given the volume in gallons and the density in grams per milliliter and asked to calculate the mass in pounds. To be able to use the density as a conversion factor the volume must have the same units as the density. Start by converting the volume from gallons to milliliters.
17.0 gal×4 qt1 gal×1.00 L1.06 qt×1000 mL1 L=64200 mL
Then, either rearrange the density equation to solve for the mass in terms of the volume and density or use the density as a conversion factor to determine the mass in grams.
mass=density×volume
mass=0.737 g/mL×64200 mL=47300 g
or
64200 mL×0.737 g1 mL=47300 g
Finally, convert the mass from grams to pounds.
47300 g×1 lb454 g=104 lb
density=massvolume
In the first calculation, you are given the mass in grams and the volume in cubic centimeters and asked to calculate the density in grams per cubic centimeter. Insert the given quantities into the density equation and solve for the density.
density=massvolume=50.3 g23.1 cm3=2.18 g/cm3
In the second calculation you are given the mass in grams and the density in grams per milliliter and asked to calculate the volume in milliliters. Rearrange the density equation to solve for the volume in terms of the density and mass.
volume=massdensity
Insert the given values and solve for the density.
volume=21.7 g0.791 g/mL=27.4 mL
Alternatively, you can use the density as a conversion factor to convert from mass to volume.
21.7 g×1 mL0.791 g=27.4 mL
In the third calculation, you are given the volume in gallons and the density in grams per milliliter and asked to calculate the mass in pounds. To be able to use the density as a conversion factor the volume must have the same units as the density. Start by converting the volume from gallons to milliliters.
17.0 gal×4 qt1 gal×1.00 L1.06 qt×1000 mL1 L=64200 mL
Then, either rearrange the density equation to solve for the mass in terms of the volume and density or use the density as a conversion factor to determine the mass in grams.
mass=density×volume
mass=0.737 g/mL×64200 mL=47300 g
or
64200 mL×0.737 g1 mL=47300 g
Finally, convert the mass from grams to pounds.
47300 g×1 lb454 g=104 lb
3 answers