Question

Pure gold has a density of 19.32 g/cm3. How large would a piece of gold be if it had a mass of 318.97 g?

Answer 1

The volume of the sample of gold is `"16.51 cm"^3`.

Explanation:

The formula for density is:

`D=M/V`,

where:

`D` is density, `M` is mass, and `V` is volume.

Rearrange the density formula to isolate volume.

`V=M/D`

`V=(318.97"g Au")/(19.32"g"/"cm"^3")`

`V=318.97color(red)cancel(color(black)("g Au"))xx(1"cm"^3 "Au")/(19.32color(red)cancel(color(black)("g Au")))` `larr` Multiply by the multiplicative inverse of the density.

`V="16.51 cm"^3 "Au"`