Unit 1: Math in Chemistry Worksheet Packet
Significant Figures Practice
Determine the number of significant figures in each quantity.
1)
1234 liters
6)
9010 grams
2)
3010 grams
7)
3.4 x 103 meters
3)
890 degrees
8)
3.40 x 103 meters
4)
9010.0 grams
9)
0.0023 grams
5)
9010. grams
10) 1.0023 grams
Significant Figures Calculations
Solve the following mathematical problems such that the answers have the correct number of
significant figures:
1)
334.54 grams + 198 grams =
5)
349 cm + 1.10 cm + 100 cm =
2)
34.1 grams / 1.1 mL =
6)
450 meters / 114 seconds =
3
3)
2.11 x 10 joules / 34 seconds =
7)
298.01 kg + 34.112 kg =
4)
0.0010 meters – 0.11 meters =
8)
84 m/s x 31.221 s =
Scientific Notation
Convert the following to scientific notation.
1. 0.00000785g
3. 842000 m
2. 0.0928L
4. 9280000000 mm
Convert the following to standard notation.
1. 3.87x10-4 L
3. 3.09x104 g
2. 4.98x106 cm
4. 9.782x10-3 kg
Do the following calculations in your calculator. Do NOT convert to standard notation! Your
answer must be in scientific notation.
1. 8.3x10-14 x 9.34x1034
4. 3.25 x 6.02x1023
2. 4.55x10-18 + 3.82x10-18
5. 6.6262x10-34 x 5.3x1014
3. 5.24x1024 / 6.02x1023
Unit Conversion Calculations
Use dimensional analysis to solve the following problems. You must show all units.
1)
How many centimeters are there in 5.44 meters?
2)
How many kilograms are there in 513 grams?
3)
How many millimeters are there in 0.0684 kilometers?
4)
If a doctor finds that his patient has a mass of 65 kilograms, how heavy is the patient in
grams?
5)
How many weeks are there in 34 hours?
6)
If a butterfly has a wingspan of 14 centimeters, how wide is it in meters?
7)
If I've got a glass of water containing 375 mL of water, how many liters of water are
present? How many cm3?
8)
If your foot is 28 centimeters long, how long is this in feet?
9)
My cat can eat 125 grams of food each day. How many kilograms is this?
10) An airplane can fly at a height of 12.5 km over the ground. How high is this in miles?
11)
12)
13)
14)
15)
16)
How many inches are there in 45.6 cm?
How many centimeters are there in 1.23 x 10-6 kilometers?
How many hours are there in 34.5 years?
How many inches are there in 355 millimeters?
How many milliliters are in a cubic meter? (There are 1,000 L in 1 m3)
How many kilometers are there in 3.44 x 108 inches?
Adapted from Ian Guch, Cavalcade O’ Chemistry
Density Problems
Solve these problems on your own paper. Be sure to show all parts of problem solving: list
variables, write formula/rearrange, plug in numbers with units and your final
answer/unit. Circle your final answer.
1. What is the density of carbon dioxide gas if 0.196g occupies a volume of 100mL?
2. A 10.0cm3 sample of copper has a mass of 89.6g. What is the density of copper?
3. A block of wood 3.0cm on each side has a mass of 27g. What is the density of this
block? (Hint: you are given the length in cm, not volume in cm3. You must show how you
get the volume)
4. An irregularly shaped stone was lowered into a graduated cylinder holding a volume of
water equal to 2.0mL. The height of the water rose to 7.0mL. If the mass of the stone
was 25g, what was its density? (Hint: use volume by water displacement. You must show
how you get the volume)
5. A sample of iron has the dimensions of 2.0cmx3.0cmx2.0cm. If the mass of the
rectangular-shaped object is 94g, what is the density of iron? (Hint: you must show how
you get the volume)
6. 5.0mL of ethanol has a mass of 3.9g and 5.0mL of benzene has a mass of 4.4g. Which
liquid is denser? (Hint: solve for the density of each, then make a statement comparing
the two to answer the question)
7. What volume would 15g of zinc occupy? (Hint: use your reference tables to find the
density of zinc)
8. What is the mass of 25.0mL of mercury?
9. What volume would 36g of aluminum occupy?
10.Silver has a density of 10.5g/cm3 and gold has a density of 19.3g/cm3. Which would
have a greater mass, 5.0cm3 of silver or 5cm3 of gold? (Hint: solve for the mass of each,
then make a statement comparing the two)
States of Matter Questions
Give the state of matter (solid, liquid or gas) for each of the following.
1. Ethanol at 100oC
8. Methane at 0oC
2. Hydrogen at -300oC
9. Iron at 1000oC
3. Hexane at 50oC
10.Sulfur dioxide at -50oC
4. Oxygen at 50oC
5. Water at 50oC
6. Methanol at -100oC
7. Sodium chloride at 1000oC