# Analyzing Data Chapter REVIEW Worksheet

```NAME_________________________________________________
PERIOD______________
DATE______________________
Analyzing Data Chapter REVIEW Worksheet
MAKE SURE ALL ANSWERS ARE WRITTEN WITH THE CORRECT NUMBER OF SIG FIGS AND YOU ALSO
SHOW ALL YOUR WORK. YOU WILL GET ONE POINT FOR THE CORRECT ANSWER, ONE POINT FOR THE
APPLICABLE).
Conversion Factors and Equations you may need:
T°F = 1.8 T°C + 32
Error = experimental value – accepted value
T°C + 273 = TK
Percent error = 100
D=
||
1 mL = 1 cm3
1000 mL = 1 L
1 mile = 5280 ft
1 in = 2.54 cm
1 hr = 60 min
1 kg = 2.20 lbs
3 ft = 1 yd
4 quarts = 1 gal
1 min = 60 sec
1 m = 39.37 in
1 lbs = 16 oz
12 in = 1 ft
1 lbs = 453.6 g
1 L = 1.06 quarts
I. THE BASICS
A. Temperature Conversion
1. You get a temperature reading in Fahrenheit of T°F = 105.3 °F. Convert this temperature into both
Celsius and Kelvin. (6 pts. possible)
T°C =
TK =
2. You get a temperature reading in Kelvin of TK = 10.11 K. Convert this temperature into both Celsius
and Fahrenheit. (6 pts. possible)
T°C =
T°F =
3. You get a temperature reading in Celsius of T°C = 1554.2 °C. Convert this temperature into both Kelvin
and Fahrenheit. (6 pts. possible)
TK =
T°F =
B. Derived Units – Density
For each of the problems write your final answer with the correct units for density (g/cm3).
4. A piece of plastic has a mass of 0.253 g and a volume of 24.1 mL. What is its density? (3 pts. possible)
5. A piece of unknown metal has a volume of 53.2 mL and a mass of 152 g. What is its density? (3 pts
possible)
C. Scientific Notation
Each question has 1 pt. possible.
Write each of the following standard numbers in scientific notation:
6.
10520000 _______________________________________
7.
0.0923 __________________________________________
8.
0.00003 _________________________________________
9.
1502 ____________________________________________
10. 352001 _________________________________________
Write each of the following numbers written in scientific notation as a standard number:
11. 1.442 x 106 ______________________________________
12. 4.5 x 10--4 ________________________________________
13. 6.5723 x 103 ______________________________________
14. 8.00 x 108 ________________________________________
15. 3.45 x 10—5 _______________________________________
D. Sig Figs
Each question has 1 pt. possible.
State the number of sig figs in each of the following numbers:
16. 4.323
18. 56.720
20. 643000
17. 10220031
19. 0.0023
21. 2300.
Rewrite each of the following numbers to the indicated number of sig figs (SF):
22. 50,002 (3 SF)
24. 4.2237 x 10—3 (6 SF)
26. 0.0234 (2 SF)
23. 35.220 (2 SF)
25. 4.0024 (2 SF)
27. 83.2 (4 SF)
Round and rewrite each of the following numbers with the correct number of sig figs according to the
operation that was performed. Each of the calculations are already done so the numbers appear as they
would on a calculator. Be careful to look if you are adding, subtracting, multiplying, or dividing in each
problem.
28. 282 + 4.323 +2.2 = 288.523
32. 17.5 X 0.34 = 5.95
29. 43.3 – 5.34 – 0.324 = 37.96
33. 25.0/3.4 = 7.352941176
30. 2.34 x 105 – 6.2 x 105 = -3.86 x 105
34. 345.1 X 0.002123 = 0.7326473
31. 0.23 x 10--3 + 1.2 x 10--3 = 1.43 x 10--3
35. 49.1/7.0 = 7.0142857143
E. Uncertainty in Data
Each question has 3 pts. possible.
36. The accepted value for the density of Gold (Au) is 19.3 g/cm3. You experimentally find the value for
the density of gold to be 20.0 g/cm3. What is the error?
37. You experimentally find the melting point of Californium (Cf) to be 850 °C. The accepted value for
the melting point of Californium is 900 °C. What is your percent error?
38. The accepted value for the boiling point of Silicon (Si) is 2900 °C. You experimentally find the boiling
point of Silicon to be 2150 °C. What is your percent error?
F. Dimensional Analysis
Each question has 3 pts. possible.
Use the conversion factors above to solve each of the problems.
39. Convert 2.85 kilograms (kg) into decigrams (dg)
40. Convert 7.5 hectoliters (hL) into milliliters (mL)
41. Convert 82,000 centimeters (cm) into kilometers (km)
42. Convert 185 oz into kg
43. Convert 17.8 L into gal
44. Convert 2.84 miles/hour into cm/sec
45. Convert 7.8 g/mL into lb/quart
II. APPLICATION
46. You are making a model of the Tin Man from The Wizard of Oz by melting down Tin (Sn) and then
letting the liquid tin pour into a mold. Currently the liquid tin is flowing into the mold at a rate of 2.4
dm3/min. What is this rate in cm3/hr? (3 pts. possible)
47. You are in California walking on the beach and you pick up a piece of unknown metal. Describe a way
you could determine the density of this unknown metal. (3 pts. possible)
48. You are in a pharmaceutical drug research lab and one day you find an unknown solid at your desk
with a note saying that it has a density of 7.8 g/mL. You find the mass and it comes out to be 832 g.
What is the volume of this unknown solid in liters (L)? (3 pts. possible)
49. You do an experiment to figure out the melting point of Magnesium (Mg) and you obtain a value of
989 K. After doing some research you find out that the accepted value for the melting point of
Magnesium is 923 K. What is your percent error? (3 pts. possible)
50. You are designing a part for an artificial elbow joint and you want to make it out of pure Titanium
(Ti). You order the titanium from a trusted chemical company but want to make sure that the sample
you receive is pure titanium. As soon as you receive the sample you determine its density by measuring
its mass to be 21.2 g. You also find that the sample displaces 4.7 mL of water. The accepted value for the
density of titanium is 4.507 g/cm3. Is the sample of metal you got pure titanium? Why or why not? (5
pts. possible)
III. CHALLENGE
51. Write the numbers 20, 200, and 2000 in scientific notation with two, three, and four sig figs. (9 pts.
possible)
52. A piece of iron with a volume of 2.56 gal weighs 168.04 lbs. Calculate the density of iron in
scruple/drachm using the conversion factors below. (3 pts. possible)
1.00 L = 0.264 gal
1.000 scruple = 1.296 g
1000 g = 1 kg
1.000 kg = 2.205 lbs
1.000 mL = 0.2816 drachm
1000 mL = 1.00 L
53. The accepted value for the atomic radius of Oxygen (O) is 73 pm. of You measure the atomic radius
of oxygen multiple times using the same instruments are get the following measurements: 70 pm, 74
pm, 72 pm, and 73 pm. Are these measurements precise, accurate, neither, or both? Why? (2 pts.
possible)
NAME_________________________________________________
PERIOD______________
DATE______________________
Analyzing Data Chapter REVIEW Worksheet
MAKE SURE ALL ANSWERS ARE WRITTEN WITH THE CORRECT NUMBER OF SIG FIGS AND YOU ALSO
SHOW ALL YOUR WORK. YOU WILL GET ONE POINT FOR THE CORRECT ANSWER, ONE POINT FOR THE
APPLICABLE).
Conversion Factors and Equations you may need:
T°F = 1.8 T°C + 32
Error = experimental value – accepted value
T°C + 273 = TK
Percent error = 100
D=
||
1 mL = 1 cm3
1000 mL = 1 L
1 mile = 5280 ft
1 in = 2.54 cm
1 hr = 60 min
1 kg = 2.20 lbs
3 ft = 1 yd
4 quarts = 1 gal
1 min = 60 sec
1 m = 39.37 in
1 lbs = 16 oz
12 in = 1 ft
1 lbs = 453.6 g
1 L = 1.06 quarts
I. THE BASICS
A. Temperature Conversion
1. You get a temperature reading in Fahrenheit of T°F = 105.3 °F. Convert this temperature into both
Celsius and Kelvin. (6 pts. possible)
T°C =
TK =
2. You get a temperature reading in Kelvin of TK = 10.11 K. Convert this temperature into both Celsius
and Fahrenheit. (6 pts. possible)
T°C =
T°F =
3. You get a temperature reading in Celsius of T°C = 1554.2 °C. Convert this temperature into both Kelvin
and Fahrenheit. (6 pts. possible)
TK =
T°F =
B. Derived Units – Density
For each of the problems write your final answer with the correct units for density (g/cm3).
4. A piece of plastic has a mass of 0.253 g and a volume of 24.1 mL. What is its density? (3 pts. possible)
5. A piece of unknown metal has a volume of 53.2 mL and a mass of 152 g. What is its density? (3 pts
possible)
C. Scientific Notation
Each question has 1 pt. possible.
Write each of the following standard numbers in scientific notation:
6.
10520000 _______________________________________
7.
0.0923 __________________________________________
8.
0.00003 _________________________________________
9.
1502 ____________________________________________
10. 352001 _________________________________________
Write each of the following numbers written in scientific notation as a standard number:
11. 1.442 x 106 ______________________________________
12. 4.5 x 10--4 ________________________________________
13. 6.5723 x 103 ______________________________________
14. 8.00 x 108 ________________________________________
15. 3.45 x 10—5 _______________________________________
D. Sig Figs
Each question has 1 pt. possible.
State the number of sig figs in each of the following numbers:
16. 4.323
18. 56.720
20. 643000
17. 10220031
19. 0.0023
21. 2300.
Rewrite each of the following numbers to the indicated number of sig figs (SF):
22. 50,002 (3 SF)
24. 4.2237 x 10—3 (6 SF)
26. 0.0234 (2 SF)
23. 35.220 (2 SF)
25. 4.0024 (2 SF)
27. 83.2 (4 SF)
Round and rewrite each of the following numbers with the correct number of sig figs according to the
operation that was performed. Each of the calculations are already done so the numbers appear as they
would on a calculator. Be careful to look if you are adding, subtracting, multiplying, or dividing in each
problem.
28. 282 + 4.323 +2.2 = 288.523
32. 17.5 X 0.34 = 5.95
29. 43.3 – 5.34 – 0.324 = 37.96
33. 25.0/3.4 = 7.352941176
30. 2.34 x 105 – 6.2 x 105 = -3.86 x 105
34. 345.1 X 0.002123 = 0.7326473
31. 0.23 x 10--3 + 1.2 x 10--3 = 1.43 x 10--3
35. 49.1/7.0 = 7.0142857143
E. Uncertainty in Data
Each question has 3 pts. possible.
36. The accepted value for the density of Gold (Au) is 19.3 g/cm3. You experimentally find the value for
the density of gold to be 20.0 g/cm3. What is the error?
37. You experimentally find the melting point of Californium (Cf) to be 850 °C. The accepted value for
the melting point of Californium is 900 °C. What is your percent error?
38. The accepted value for the boiling point of Silicon (Si) is 2900 °C. You experimentally find the boiling
point of Silicon to be 2150 °C. What is your percent error?
F. Dimensional Analysis
Each question has 3 pts. possible.
Use the conversion factors above to solve each of the problems.
39. Convert 2.85 kilograms (kg) into decigrams (dg)
40. Convert 7.5 hectoliters (hL) into milliliters (mL)
41. Convert 82,000 centimeters (cm) into kilometers (km)
42. Convert 185 oz into kg
43. Convert 17.8 L into gal
44. Convert 2.84 miles/hour into cm/sec
45. Convert 7.8 g/mL into lb/quart
II. APPLICATION
46. You are making a model of the Tin Man from The Wizard of Oz by melting down Tin (Sn) and then
letting the liquid tin pour into a mold. Currently the liquid tin is flowing into the mold at a rate of 2.4
dm3/min. What is this rate in cm3/hr? (3 pts. possible)
47. You are in California walking on the beach and you pick up a piece of unknown metal. Describe a way
you could determine the density of this unknown metal. (3 pts. possible)
48. You are in a pharmaceutical drug research lab and one day you find an unknown solid at your desk
with a note saying that it has a density of 7.8 g/mL. You find the mass and it comes out to be 832 g.
What is the volume of this unknown solid in liters (L)? (3 pts. possible)
49. You do an experiment to figure out the melting point of Magnesium (Mg) and you obtain a value of
989 K. After doing some research you find out that the accepted value for the melting point of
Magnesium is 923 K. What is your percent error? (3 pts. possible)
50. You are designing a part for an artificial elbow joint and you want to make it out of pure Titanium
(Ti). You order the titanium from a trusted chemical company but want to make sure that the sample
you receive is pure titanium. As soon as you receive the sample you determine its density by measuring
its mass to be 21.2 g. You also find that the sample displaces 4.7 mL of water. The accepted value for the
density of titanium is 4.507 g/cm3. Is the sample of metal you got pure titanium? Why or why not? (5
pts. possible)
III. CHALLENGE
51. Write the numbers 20, 200, and 2000 in scientific notation with two, three, and four sig figs. (9 pts.
possible)
52. A piece of iron with a volume of 2.56 gal weighs 168.04 lbs. Calculate the density of iron in
scruple/drachm using the conversion factors below. (3 pts. possible)
1.00 L = 0.264 gal
1.000 scruple = 1.296 g
1000 g = 1 kg
1.000 kg = 2.205 lbs
1.000 mL = 0.2816 drachm
1000 mL = 1.00 L
53. The accepted value for the atomic radius of Oxygen (O) is 73 pm. of You measure the atomic radius
of oxygen multiple times using the same instruments are get the following measurements: 70 pm, 74
pm, 72 pm, and 73 pm. Are these measurements precise, accurate, neither, or both? Why? (2 pts.
possible)
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