Question

What is the density of a
sample of a substance with a volume of
120 mL and a mass of 90 grams?​

Answer 1

Answer:

By definition,

ρ

density

=

mass

volume

...

And so to get the mass we take the product,

volume

×

ρ

..

And here...

mass

=

120

⋅

m

L

×

0.75

⋅

g

⋅

m

L

−

1

=

?

?

⋅

g

Answer 2

$\huge{\underline{\underline{\mathcal\color{blue}{\bigstar{Answer}}}}}$

The density of the unknown substance is 0.75 g/mL.

Explanation:

We are given the volume and mass of a substance and are asked to find the density.

Density is determined with the formula $\red{d=\dfrac{m}{v}}$, where d is the density, m is the mass of the substance, and v is the volume the substance occupies.

Therefore, the density can be found by dividing the mass and volume.

We are given and can determine that:

$\rightsquigarrow$ The volume is 120 mL (v).

$\rightsquigarrow$ The mass of the substance is 90 grams (m).

$\rightsquigarrow$ Our derived unit is going to be g/mL.

Now, let's set up the math required.

$\begin{gathered}:\implies = \dfrac{90 \ \text{grams}}{120 \ \text{mL}}\\\\ :\implies d = \frac{3 \ \text{grams}}{4 \ \text{mL}}\\\\ :\implies d = \dfrac{3}{4} \ \text{grams per mL}\\\\ :\implies d = \dfrac{3}{4} \ \text{g/mL}\\\\ :\implies \bold{d = 0.75 \ \bold{g/mL}}\end{gathered}$

Therefore, the density of the substance is 0.75 g/mL.