Question

What is the density of a `200*g` mass of material, that has a volume of `40*cm^3`?

Answer 1

`rho_"density"=5.0*g*mL^-1`

Explanation:

By definition, `"density"` is the `"mass"` per unit `"volume"`, and so we take the quotient....

`rho_"density"=(200*g)/(40*cm^3)=5.0*g*cm^-3-=5.0*g*mL^-1`...

Since we are in the chemistry section....often, in order to deliver a precise mass of liquid reagent, we measure the volume of the reagent and add this volume to the reaction mixture....

Note also that `1*mL-=1*cm^3`...

And that `1*cm^3-=1xx(10^-2*m)^3-=1xx10^-6*m^3`

`=10^-3xx10^-3*m^3=1/1000xx1/1000*m^3`

`=1xx10^-3*L-=1*cm^3=1*mL` as required....

Answer 2

`5 \ "g/cm"^3`

Explanation:

Density is given by the equation,

`rho=m/V`

• `m` is the mass of the object

• `V` is the volume of the object

And so, plugging in the values, we get,

`rho=(200 \ "g")/(40 \ "cm"^3)`

`=5 \ "g/cm"^3`