Scientific Notation and Unit Prefixes
Make the following conversions:
1)
3.4 liters to milliliters
2)
876 millimeters to meters
3)
78,999 milligrams to grams
4)
0.9 centigrams to grams
5)
112 meters to millimeters
6)
7)
8)
9)
10)
45 meters to centimeters
11.7 grams to kilograms
0.0009 kiloliters to liters
44 centimeters to meters
277 kilograms to grams
Convert the following to scientific notation:
11)
45,700 ______________________________
12)
0.009 ______________________________
13)
23 ______________________________
14)
0.9 ______________________________
15)
24,212,000 ______________________________
16)
0.000665 ______________________________
Convert the following to scientific notation:
17)
21.9 ______________________________
18)
0.00332 ______________________________
19)
321 ______________________________
20)
0.119 ______________________________
21)
1492 ______________________________
22)
0.2713 ______________________________
23)
314159 ______________________________
24)
6022 ______________________________
25)
0.12011 ______________________________
Convert the following numbers in scientific notation to expanded form:
26)
3.825 x 103 ______________________________
27)
6.3 x 104 ______________________________
28)
2.3 x 10-2 ______________________________
29)
4.44 x 10-6 ______________________________
30)
7.121 x 109 ______________________________
31)
1.2 x 10-1 ______________________________
32)
1.8 x 102 ______________________________
33)
8.1 x 10-4 ______________________________
34)
6.7 x 105 ______________________________
35)
3.4 x 107 ______________________________
Unit Conversions Practice
1)
2)
3)
4)
5)
6)
7)
8)
Convert 16.7 inches to feet
Convert 25 yards to feet (there are 3 feet in a yard)
Convert 90 centuries to years
Convert 84 miles to kilometers (there are 0.6 miles in a kilometer)
Convert 4.75 centimeters to meters
Convert 48,987 minutes to days
Convert 27 months to fortnights (there are 14 days in a fortnight and ~30 days in a month)
Convert 0.09 miles to inches (there are 36 inches in a yard and 1760 yards in a mile)
© 2000 Cavalcade Publishing – All Rights Reserved
For chemistry help, visit http://www.chemfiesta.com
1
9)
10)
11)
Convert 4.66 centimeters to miles (there are 0.6 miles in a kilometer)
Convert 556 degrees Celsius to Kelvins
Convert 25 Kelvins to degrees Celsius
Moles Worksheet
1)
2)
3)
4)
5)
6)
7)
8)
Define “mole”.
How many moles are present in 34 grams of Cu(OH)2?
How many moles are present in 2.45 x 1023 molecules of CH4?
How many grams are there in 3.4 x 1024 molecules of NH3?
What is the mass of 4.2 moles of Ca(NO3)2?
What is the molar mass of MgO?
How are the terms “molar mass” and “atomic mass” different from one another?
Which is a better unit for expressing molar mass, “amu” or “grams/mole”?
Molar Mass Worksheet
Calculate the molar masses of the following chemicals:
1)
4)
7)
10)
13)
Cl2
FeCl3
Mg(OH)2
H3PO4
Pb(NO3)2
2)
5)
8)
11)
14)
KOH
BF3
UF6
(NH4)2SO4
Ga2(SO3)3
3)
6)
9)
12)
BeCl2
CCl2F2
SO2
CH3COOH
Grams/Moles Calculations
Given the following, find the number of moles:
1)
30 grams of H3PO4
3)
110 grams of NaHCO3
5)
987 grams of Ra(OH)2
7)
12.3 grams of CO2
2)
4)
6)
8)
25 grams of HF
1.1 grams of FeCl3
564 grams of copper
89 grams of Pb(CH3COO)4
Given the following, find the number of grams:
9)
4 moles of Cu(CN)2
11)
21.3 moles of BaCO3
13)
9.3 x 10-3 moles of SmO
15)
5.4 moles of K2SO4
10)
12)
14)
16)
5.6 moles of C6H6
1.2 moles of (NH4)3PO3
6.6 moles of ZnO
88.4 moles of NI3
Mole Calculation Worksheet
1)
2)
3)
4)
5)
6)
7)
8)
How many moles are in 15 grams of lithium?
How many grams are in 2.4 moles of sulfur?
How many moles are in 22 grams of argon?
How many grams are in 88.1 moles of magnesium?
How many moles are in 2.3 grams of phosphorus?
How many grams are in 11.9 moles of chromium?
How many moles are in 9.8 grams of calcium?
How many grams are in 238 moles of arsenic?
© 2000 Cavalcade Publishing – All Rights Reserved
For chemistry help, visit http://www.chemfiesta.com
2
What are the molecular weights of the following compounds?
9)
NaOH
12)
H3PO4
10)
H2O
13)
Mn2Se7
11)
MgCl2
14)
(NH4)2SO4
15)
16)
17)
18)
19)
20)
21)
22)
23)
How many grams are in 4.5 moles of sodium fluoride, NaF?
How many moles are in 98.3 grams of aluminum hydroxide, Al(OH)3?
How many grams are in 0.02 moles of beryllium iodide, BeI2?
How many moles are in 68 grams of copper (II) hydroxide, Cu(OH)2?
How many grams are in 3.3 moles of potassium sulfide, K2S?
How many moles are in 1.2 x 103 grams of ammonia, NH3?
How many grams are in 2.3 x 10-4 moles of calcium phosphate, Ca3(PO3)2?
How many moles are in 3.4 x 10-7 grams of silicon dioxide, SiO2?
How many grams are in 1.11 moles of manganese sulfate, Mn3(SO4)7?
Moles, Molecules, and Grams Worksheet
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
How many molecules are there in 24 grams of FeF3?
How many molecules are there in 450 grams of Na2SO4?
How many grams are there in 2.3 x 1024 atoms of silver?
How many grams are there in 7.4 x 1023 molecules of AgNO3?
How many grams are there in 7.5 x 1023 molecules of H2SO4?
How many molecules are there in 122 grams of Cu(NO3)2?
How many grams are there in 9.4 x 1025 molecules of H2?
How many molecules are there in 230 grams of CoCl2?
How many molecules are there in 2.3 grams of NH4SO2?
How many grams are there in 3.3 x 1023 molecules of N2I6?
How many molecules are there in 200 grams of CCl4?
How many grams are there in 1 x 1024 molecules of BCl3?
How many grams are there in 4.5 x 1022 molecules of Ba(NO2)2?
How many molecules are there in 9.34 grams of LiCl?
How many grams do 4.3 x 1021 molecules of UF6 weigh?
How many molecules are there in 230 grams of NH4OH?
Mole Problem
Using your knowledge of mole calculations and unit conversions, determine how many atoms there
are in 1 gallon of gasoline. There are 3.785 L in one gallon. Assume that the molecular formula for
gasoline is C6H14 and that the density of gasoline is approximately 0.85 grams/mL.
There are _______________________________ atoms in 1 gallon of gasoline.
© 2000 Cavalcade Publishing – All Rights Reserved
For chemistry help, visit http://www.chemfiesta.com
3
Scientific Notation and Unit Prefixes – Answer Key
Make the following conversions:
1)
3.4 liters to milliliters
3400 mL
2)
876 millimeters to meters
0.876 m
3)
78,999 milligrams to grams
78.999 g
4)
0.9 centigrams to grams
0.09 g
5)
112 meters to millimeters
112,000 mm
6)
7)
8)
9)
10)
Convert the following to scientific notation:
11)
45,700 4.57 x 104
12)
13)
23 2.3 x 101
14)
15)
24,212,000 2.4212 x 107
16)
Convert the following to scientific notation:
17)
21.9 2.19 x 101
18)
19)
321 3.21 x 102
20)
3
21)
1492 1.492 x 10
22)
23)
314159 3.14159 x 105
24)
-1
25)
0.12011 1.2011 x 10
45 meters to centimeters
4,500 cm
11.7 grams to kilograms
0.0117 kg
0.0009 kiloliters to liters
0.9 L
44 centimeters to meters
0.44 m
277 kilograms to grams
277,000 g
0.009 9 x 10-3
0.9 9 x 10-1
0.000665 6.65 x 10-4
0.00332 3.32 x 10-3
0.119 1.19 x 10-1
0.2713 2.713 x 10-1
6022 6.022 x 103
Convert the following numbers in scientific notation to expanded form:
26)
3.825 x 103 3,825
27)
6.3 x 104 63,000
-2
28)
2.3 x 10 0.023
29)
4.44 x 10-6 0.00000444
30)
7.121 x 109 7,121,000,000
31)
1.2 x 10-1 0.12
2
32)
1.8 x 10 180
33)
8.1 x 10-4 0.00081
34)
6.7 x 105 670,000
35)
3.4 x 107 34,000,000
Unit Conversions Practice – Answer Key
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
Convert 16.7 inches to feet
1.39 feet
Convert 25 yards to feet (there are 3 feet in a yard)
75 feet
Convert 90 centuries to years
9,000 years
Convert 84 miles to kilometers (there are 0.6 miles in a kilometer) 140 km
Convert 4.75 centimeters to meters
0.0475 meters
Convert 48,987 minutes to days
34.019 days
Convert 27 months to fortnights (there are 14 days in a fortnight and ~30 days in a month)
57.9 fortnights
Convert 0.09 miles to inches (there are 36 inches in a yard and 1760 yards in a mile)
1.4 x 10-6 miles
Convert 4.66 centimeters to miles (there are 0.6 miles in a kilometer)
2.8 x 10-5 miles
Convert 556 degrees Celsius to Kelvins
829 K
Convert 25 Kelvins to degrees Celsius
-2480 C
© 2000 Cavalcade Publishing – All Rights Reserved
For chemistry help, visit http://www.chemfiesta.com
4
Moles Worksheet (Solutions)
1)
2)
3)
4)
5)
6)
7)
8)
Define “mole”.
6.02 x 1023 of anything, usually atoms or molecules.
How many moles are present in 34 grams of Cu(OH)2?
0.35 moles
How many moles are present in 2.45 x 1023 molecules of CH4?
0.41 moles
24
How many grams are there in 3.4 x 10 molecules of NH3? 96 grams
What is the mass of 4.2 moles of Ca(NO3)2? 689 grams
What is the molar mass of MgO? 40.3 grams/mole
How are the terms “molar mass” and “atomic mass” different from one another?
“Molar mass” is used to describe the mass of one mole of a chemical compound.
"Atomic mass” is used to describe the mass of one atom of an element.
Which is a better unit for expressing molar mass, “amu” or “grams/mole”?
“Grams/mole” is better, because any macroscopic (large) amount of a substance is better
expressed in grams than amu.
Molar Mass Worksheet – Answer Key
Calculate the molar masses of the following chemicals:
1)
4)
7)
10)
13)
Cl2 71 g/mol
FeCl3 162.3 g/mol
Mg(OH)2 58.3 g/mol
H3PO4 98 g/mol
Pb(NO3)2 331.2 g/mol
2)
5)
8)
11)
14)
KOH 56.1 g/mol
BF3 67.8 g/mol
UF6 352 g/mol
(NH4)2SO4 132.1 g/mol
Ga2(SO3)3 379.7 g/mol
3)
6)
9)
12)
BeCl2 80 g/mol
CCl2F2 121 g/mol
SO2 64.1 g/mol
CH3COOH 60 g/mol
Grams/Moles Calculations – Answer Key
Given the following, find the number of moles:
1)
30 grams of H3PO4 0.31 moles
3)
110 grams of NaHCO3 1.31 moles
5)
987 grams of Ra(OH)2 3.80 moles
7)
12.3 grams of CO2 0.28 moles
2)
4)
6)
8)
25 grams of HF 1.25 moles
1.1 grams of FeCl3 0.0068 moles
564 grams of copper 0.11 moles
89 grams of Pb(CH3COO)4 0.20 moles
Given the following, find the number of grams:
9)
4 moles of Cu(CN)2 462 grams
11)
21.3 moles of BaCO3 4202.5 grams
13)
9.3 x 10-3 moles of SmO 1.5 grams
15)
5.4 moles of K2SO4 941.2 grams
10)
12)
14)
16)
5.6 moles of C6H6 436.8 grams
1.2 moles of (NH4)3PO3 159.6 grams
6.6 moles of ZnO 537.2 grams
88.4 moles of NI3 34679.3 grams
Mole Calculation Worksheet – Answer Key
1)
2)
3)
4)
5)
6)
7)
8)
How many moles are in 15 grams of lithium? 0.46 moles
How many grams are in 2.4 moles of sulfur? 77.0 grams
How many moles are in 22 grams of argon? 0.55 moles
How many grams are in 88.1 moles of magnesium? 2141 grams
How many moles are in 2.3 grams of phosphorus? 0.074 moles
How many grams are in 11.9 moles of chromium? 618.8 grams
How many moles are in 9.8 grams of calcium? 0.24 moles
How many grams are in 238 moles of arsenic? 17,826 grams
© 2000 Cavalcade Publishing – All Rights Reserved
For chemistry help, visit http://www.chemfiesta.com
5
What are the molecular weights of the following compounds?
9)
NaOH 40.1 grams
12)
H3PO4
98.0 grams
10)
H2O 18.0 grams
13)
Mn2Se7 663.0 grams
11)
MgCl2 95.3 grams
14)
(NH4)2SO4 132.1 grams
15)
How many grams are in 4.5 moles of sodium fluoride, NaF? 189 grams
16)
How many moles are in 98.3 grams of aluminum hydroxide, Al(OH)3?
1.26 moles
17)
How many grams are in 0.02 moles of beryllium iodide, BeI2? 5.2 grams
18)
How many moles are in 68 grams of copper (II) hydroxide, Cu(OH)2? 0.70 moles
19)
How many grams are in 3.3 moles of potassium sulfide, K2S? 364.0 grams
20)
How many moles are in 1.2 x 103 grams of ammonia, NH3? 70.6 moles
21)
How many grams are in 2.3 x 10-4 moles of calcium phosphate, Ca3(PO3)2? 0.064 grams
22)
How many moles are in 3.4 x 10-7 grams of silicon dioxide, SiO2? 5.66 x 10-9 moles
23)
How many grams are in 1.11 moles of manganese sulfate, Mn3(SO4)7? 929.5 grams
Moles, Molecules, and Grams Worksheet – Answer Key
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
How many molecules are there in 24 grams of FeF3? 1.28 x 1023 molecules
How many molecules are there in 450 grams of Na2SO4? 1.91 x 1024 molecules
How many grams are there in 2.3 x 1024 atoms of silver? 421 grams
How many grams are there in 7.4 x 1023 molecules of AgNO3? 209 grams
How many grams are there in 7.5 x 1023 molecules of H2SO4? 122 grams
How many molecules are there in 122 grams of Cu(NO3)2? 3.92 x 1023 molecules
How many grams are there in 9.4 x 1025 molecules of H2? 312 grams
How many molecules are there in 230 grams of CoCl2? 1.07 x 1024 molecules
How many molecules are there in 2.3 grams of NH4SO2? 1.69 x 1022 molecules
How many grams are there in 3.3 x 1023 molecules of N2I6? 430 grams
How many molecules are there in 200 grams of CCl4? 7.82 x 1023 molecules
How many grams are there in 1 x 1024 molecules of BCl3? 195 grams
How many grams are there in 4.5 x 1022 molecules of Ba(NO2)2? 17.1 grams
How many molecules are there in 9.34 grams of LiCl? 1.33 x 1023 molecules
How many grams do 4.3 x 1021 molecules of UF6 weigh? 2.51 grams
How many molecules are there in 230 grams of NH4OH? 3.96 x 1024 molecules
Mole Problem – Solution
Using your knowledge of mole calculations and unit conversions, determine how many atoms there
are in 1 gallon of gasoline. There are 3.785 L in one gallon. Assume that the molecular formula for
gasoline is C6H14 and that the density of gasoline is approximately 0.85 grams/mL.
*There are several different routes to the same answer. This is just one way to get there (the
number of significant figures is not taken into consideration):
Convert from g/mL to g/gal:
Convert from g/gal to mol/gal:
0.85g x 1,000mL x 3.785L = 3,217.25 g/gal
1mL
1L
1 gal
3,217.25g x 1 mol = 37.335 mol/gal
1 gal
86.172g
Covert from moles/gal to atoms/gal:
37.335 mol x 6.02x1023 mcl's x 20 atoms = 4.50x1026 atoms/gal
1 gal
1 mol
1 mcl
There are 4.50 x 1026 atoms in 1 gallon of gasoline.
© 2000 Cavalcade Publishing – All Rights Reserved
For chemistry help, visit http://www.chemfiesta.com
6