Question

chemistry data and graphing
a student finds four pieces of a lustrous metal that appear to be the same. in order to determine if they are in fact the same metal, the student knows that the intrinsic property of density is a great way to test them. the formula for density is mass divided by volume (d = m/v). the student measures the mass of the four pieces of metal, and uses the water displacement method to measure the volume. here is the data table. complete the table and graph the results of mass versus volume for the metal.

metal #	mass of metal	volume of water	volume of water + metal	volume of metal
2	28.63 g	39.6 ml	42.2 ml
3	58.25 g	40.0 ml	45.6 ml
4	126.00 g	39.8 ml	51.8 ml

graph grid image follows

Explanation:

Step1: Calculate Volume of Metal for Metal #1

The volume of the metal is the volume of water + metal minus the volume of water. For Metal #1: $41.9\ mL - 40.2\ mL = 1.7\ mL$

Step2: Calculate Volume of Metal for Metal #2

For Metal #2: $42.2\ mL - 39.6\ mL = 2.6\ mL$

Step3: Calculate Volume of Metal for Metal #3

For Metal #3: $45.6\ mL - 40.0\ mL = 5.6\ mL$

Step4: Calculate Volume of Metal for Metal #4

For Metal #4: $51.8\ mL - 39.8\ mL = 12.0\ mL$

Answer:

Metal #	Mass of Metal	Volume of Water	Volume of Water + Metal	Volume of Metal
2	28.63 g	39.6 mL	42.2 mL	2.6 mL
3	58.25 g	40.0 mL	45.6 mL	5.6 mL
4	126.00 g	39.8 mL	51.8 mL	12.0 mL

(For graphing: Plot mass (y - axis) vs. volume (x - axis) using the above table values. The points should approximately lie on a straight line as density is constant for a pure metal, and the slope of the line will be the density of the metal.)