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 CORRECT NUMBER OF SIG FIGS IN YOUR ANSWER, AND ONE POINT FOR YOUR WORK (WHERE 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 CORRECT NUMBER OF SIG FIGS IN YOUR ANSWER, AND ONE POINT FOR YOUR WORK (WHERE 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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