Question

What is the volume of a liquid if 32.5 g if the liquid has a density of 0.852 g/mL?

Answer 1

Density, `rho`, is mass per unit volume: `m/V`, where `m` is mass and `V` is volume.

Explanation:

We are given that `rho` `=` `0.852*g*mL^(-1)`; further that we have a mass of `32.5` `g`. So if we divide the mass by the density, we should reasonably get an answer in VOLUME.

So, `(mass)/rho` `=` `(32.5*cancel(g))/(0.852*cancel(g)*mL^(-1)) = ?? mL`. Approx. `35-40` `mL`.

The answer is in `mL`, a measure of volume, as required, because `(1/(mL))^-1` `=` `mL`.

Answer 2

38.145mL

Explanation:

Mass of liquid = 32.5g
Density = 0.852g/mL
Volume = ?

Sol:-
Density is defined as mass per unit volume, `D = m/V`
or we can write this formula as `V = m/D`

Putting the values in above formula;
`V = (32.5g)/(0.852g/"mL")` = 38.145mL