A student is trying to determine the density of a piece of metal. She uses a balance and finds that the mass of the piece of metal is 15.36 g. To determine the volume of the metal she fills a graduated cylinder to 30.0 mL and then drops the piece of metal into the graduated cylinder. The final volume of the metal 34.1 mL. What is the density of the piece of metal

The density of the piece of metal is 3.746 g/ml.

Given the mass of metal is 15.36 g

The initial volume of a cylinder is 30.0 ml

The final volume after putting metal in it is 34.1ml

Step 1-  To find the volume:

The volume of metal = Final Volume – Initial Volume 30.0 mL

Volume of metal = 34.1 – 30.0 = 4.1 ml

Volume of metal = 4.1 mL

Step 2- Find the Density:

Density = Mass of metal is divided by the Volume of metal

Thus, the density is 3.746 g/ml.

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3.746 g/mL

Explanation:

Mass of metal =  15.36 g

Initial Volume = 30.0 mL

Final Volume = 34.1 mL

Volume of metal = Final Volume - Initial Volume = 34.1 mL - 30.0 mL

Volume of metal = 4.1 mL

Density = ?

The relationship between the values is given as;

Density = Mass of metal / Volume of metal

Inserting the values;

Density = 15.36 / 4.1  = 3.746 g/mL

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