Question

Part A

A particular brand of gasoline has a density of 0.737 g/mL at 25 ∘C. How many grams of this gasoline would fill a 15.8 gal tank (1US gal=3.78L)?

Part B

A block of metal has a width of 3.2 cm, a length of 17.1 cm, and height of 5.0 cm . Its mass is 1.1 kg . Calculate the density of the metal.

Express your answer to two significant figures and include the appropriate units.

Answer 1

partA.

Density of gasoline = 0.737 g/ml

i.e mass of 1 mL of gasoline = 0.737 grams

1 US gal = 3.78 L

15.8 gal = 15.8 x 3.78

               = 59.724 L = 59.724 x 1000 = 59724 mL         ( 1L = 1000 mL)

so, mass of 59724 mL of gasoline = 0.737 x 59724

                                                            = 44016.588 grams

         Mass of gasoline = 4.4 x 10^4 grams.

part B.

volume of metal = V = width x length x height

                              V = 3.2 x 17.1x 5.0 = 273.6 cm3

Mass of a metal = 1.1 kg = 1100 grams

Density = mass/ volume

                = 1100/273.6 = 4.02 grams/cm3

Density of metal = 4.0 grams/cm3.