Chemistry Mathematics Review
Name__________________________
Period_______Date_______________
Procedure: To determine the density of a copper alloy wire, a student first found the mass of each of five
pieces of the wire on an electronic balance. The masses are recorded in the table below. After measuring
the volume of water in a graduated cylinder, the five pieces of wire were placed into the graduated
cylinder and the water level rose. The initial and final volumes are shown below in the picture below.
Determine the volume in mL by water displacement.
Using this information, answer questions #1-3. Be sure to write all numbers to the correct number
of significant digits following the rules we learned in class, and include a unit on every number. You
must show your work for credit.
1. Determine the combined mass of the metal wires to the proper number of significant digits.
2. Determine the volume in mL of the metal wires by water displacement.
3. Find the density of the copper alloy.
4. Count the number of significant digits in each of the measurements listed below:
230.005 m
_______
328.46 mm
_______
5.017 mL _______
109,000 kg
_______
0.00607 cm3
_______
8000 km
_______
5. Round the following numbers to 2 significant digits:
0.0764 g
_______
611.0 kPa
_______
0.05030 L _______
0.0599 km
_______
2.45 cm
_______
10.9 mL
_______
6. Find the volume of a cereal box that is 35.2 cm high, 22.0 cm wide and 6.0 cm deep.
7. Using chemical analysis, a student determines the atomic mass of titanium to be 48.00 g/mol.
The periodic table lists its mass to be 47.88 g/mol. Calculate the student’s percent error.
8. According to legend, a king once requested that the royal scientist, Archimedes, determine if his
crown was really made of solid gold. Archimedes measured the mass of the crown. He used water
displacement to calculate its volume. If the mass of the crown was 505,431 mg, and the volume
was 44 mL, what was the density of the crown? If the density of pure gold is 19.3 g/cm3, was the
crown solid gold?
9. Explain why the least reliable digit in a measurement is always the final digit.
10. Light travels at a speed of 3.00 x 108 m/s. The distance light travels in one year is called a light
year. How many meters are equal to one light year? How many feet are in one light year? (You
must show your work!)