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

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

Step-by-step explanation:

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

Density is determined with the formula
`d=(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:

• The volume is 120 mL (v).
• The mass of the substance is 90 grams (m).
• Our derived unit is going to be g/mL.

Now, let's set up the math required.

`d = \frac{90 \ \text{grams}}{120 \ \text{mL}}\\\\d = \frac{3 \ \text{grams}}{4 \ \text{mL}}\\\\d = (3)/(4) \ \text{grams per mL}\\\\d = (3)/(4) \ \text{g/mL}\\\\ \bold{d = 0.75 \ \bold{g/mL}}`

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