Question

The water level in a granulated cylinder raised up 6.2 ml after a 16.74 metal sample is lowered into the cylinder. What is the density of the sample? What metal is the sample most likely to be?

Answer 1

The density of the mystery metal is 2.7g/cm^3. It is likely aluminum, Al.

Step-by-step explanation:

Density is defined as (mass/unit volume). We know the volume of the metal sample by the fact it displaced 6.2 ml of water. Since the mateal sample had a mass of 16.74 grams, we find the density by dividing the mass by the volume:

Density = (mass)/(volume) = (16.74g)/(6.2ml)

Density = 2.7 g/ml

Note that the ubntis for density can vary greatly. kg/cm^3 is a possible unit.

since 1 ml = 1 cm^3, we can also say the density of the metal sample is 2.7 g/cm^3. [This is a more common unit for this type of measurement]

A reference book of densities can be search to find what metals have this density. See the attached excerpt form one such table.

While not definitive, it can be seen that aluminum, Al, is a good candidate for the ID of this metal. It has a density of 2.7 g/cm^3, although different forms may deviate slightly. The metal is most likely aluninum.