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# Density of a Metal

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A graduated cylinder weighs 46.3 g when empty and holds 35.1 ml water (d = 1.00 g/cm3). An unknown metal is submerged into the water and brings the total volume to 58.1 ml and the mass of the cylinder and contents to 332.3 g. What is the density of the metal?

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A graduated cylinder weighs 46.3 g when empty and holds 35.1 ml water (d = 1.00 g/cm3). An unknown metal is submerged into the water and brings the total volume to 58.1 ml and the mass of the cylinder and contents to 332.3 g. What is the density of the metal?

The density of the metal is the mass of the metal divided by the volume of the metal (from the definition of density).

First recall that one milliliter equals one cubic centimeter.

1 ml = 1

The mass of the water in the cylinder is:

Then it's simple to calculate the mass of the metal since:

g

Similarly you calculate the volume of the metal:

Then use the equation for density:

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