Question

The mass of an unidentified metal sphere is 133 grams. Students determine the
volume of the metal sphere by placing it in a graduated cylinder filled with 25
milliliters of water. The volume of the water rises to 40 milliliters when the metal
sphere is placed into the graduated cylinder. The students calculate the density
of the metal sphere in order to determine the identity of the metal using the
chart below.

What is the identity of the metal?


Aluminum

Tin

Iron

Cobalt

Answer 1

Given the data from the question, the identity of the unknown metal having a of mass 133 g is Cobalt

What is density?

The density of a substance is simply defined as the mass of the subtance per unit volume of the substance. Mathematically, it can be expressed as

Density = mass / volume

How to determine the density

• Mass = 133 g
• Volume of water = 25 mL
• Volume of water + metal = 40 mL
• Vol of metal = 40 – 25 = 15 mL

• Density =?

Density = mass / volume

Density = 133 / 15

Density = 8.86 g/mL

Comparing the density of the unknown metal (i.e 8.86 g/mL) with those given in the chart in the question above, we can conclude that the unknown metal is Cobalt

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