1. An unknown, rectangular substance measures 3.60 cm high, 4.21 cm long, and 1.17 cm wide. If the mass is 21.3 g, what is this substance’s density (in grams per milliliter)?

Respuesta :

Answer:

1.20g/mL

Explanation:

Step 1:

Data obtained from the question. This include the following:

Height of substance = 3.60 cm

Length of substance = 4.21 cm

Width of substance = 1.17 cm

Mass of substance = 21.3 g

Density of substance =...?

Step 2:

Determination of the volume of the substance.

The volume of the substance can be obtained as follow:

Volume = length x width x height

Volume = 4.21 x 1.17 x 3.60

Volume = 17.73cm³

Recall:

1cm³ = 1mL

Therefore, 17.73cm³ = 17.73mL

Therefore, the volume of the substance is 17.73mL.

Step 3:

Determination of the density of the substance.

The Density of a substance is simply defined as the mass per unit volume of the substance. Mathematically, it is represented as:

Density = Mass /volume

With the above formula, we can obtain the density of the substance as follow:

Mass of substance = 21.3 g

Volume of substance = 17.73mL

Density =..?

Density = Mass /volume

Density = 21.3/17.73

Density = 1.20g/mL

Therefore, the density of the substance is 1.20g/mL.

The density of the unknown substance has been 1.20 g/ml.

The unknown substance has been of rectangle shape. The volume of the rectangular unknown substance can be given by:

Volume = Length × Width × Height

The given length = 2.21 cm

Width = 1.17 cm

Height = 3.60 cm

Substituting the values for volume:

Volume of unknown sample = 4.21 cm × 1.17 cm × 3.60 cm

Volume of the unknown substance = 17.732 [tex]\rm cm^3[/tex]

1 [tex]\rm cm^3[/tex] = 1 ml

7.732 [tex]\rm cm^3[/tex] = 17.732 ml.

The volume of the unknown substance has been 17.732 ml.

Density can be expressed as the mass per unit volume. The expression will be:

Density = [tex]\rm \dfrac{Mass}{Volume}[/tex]

The mass of the unknown substance = 21.3 g.

The volume of the unknown substance was calculated = 17.732 ml.

The density can be given as;

Density of the unknown substance = [tex]\rm \dfrac{21.3\;g}{17.732\;ml}[/tex]

The density of the unknown substance = 1.20 g/ml.

The density of the unknown substance has been 1.20 g/ml.

For more information about density, refer to the link:

https://brainly.com/question/5602264