Question

You have a gold nugget that has a mass of `50.5*g`. What is the volume of your nugget given that `rho_"Au"=19.3*g*mL^-1`?

Answer 1

`974.65` ml

Explanation:

`D = M/V` (density = mass / volume)

this can be rearranged to give `V = D/M` (volume = density / mass)

`V = 19.3`g/ml `// 50.5`g

`19.3/50.5 = 974.65`

`V = 974.65` ml

volume of gold = volume of water that gold displaces

Answer 2

Well, what is the volume of your gold nugget....?

Explanation:

By definition, `rho_"density"="mass"/"volume"`

We are given `rho_"Au"=19.3*g*mL^-1`...

And so `"volume"="mass"/rho_"Au"=(50.5*g)/(19.3*g*mL^-1)=2.62*mL`....and it would displace this volume of water.

A more interesting question is how much is the nugget worth? The current price of gold is `$43-70*USD*g^-1`...how much is your nugget worth?