Chemistry Worksheet #1
1 mile = 5,280 ft 1 inch = 2.54 cm 3 feet = 1 yard 454 g = 1lb 946 mL = 1 qt
I. Set up and solve the following using dimensional analysis.
1. 5,400 in to mi 6. 19 in2 to ft2
2. 16 weeks to sec 7. 840 in3 to cm3
3. 54 yards to mm 8. 4.22 g/cm3 to lbs./ft3
4. 36 cm/sec to mph 9. 2.50 d/hr to kronin/wk ( 1 d = 8.60 krc)
5. 1.09 g/mL to lbs/gal 10. 32 ft/sec2 to meters/min2
II. Rewrite the following numbers using scientific notation.
1. 476 6. 0.0067 x 10-3
2. 840,000 7. 16
3. 0.0822 8. 0.446
4. 540 x 1039. 28 x 10-4
5. 0.000040087 10. 0.0062 x 105
III. How many significant figures are in each of the following numbers or answers to the
following mathematical operations.
1. 16.0 6. 14/ 3.07
2. 54,000 7. 5.400 x 103/ 176
3. 54,000.0 8. 1,874 x 36.2
4. 0.000107 9. 14/ 367
5. 6,007 10. 176/ 1.4809 x 106
IV. Perform the following mathematical operations and express your answers to the proper
number of significant figures.
1. 642 x (4.0 x 10-5) 6. 59 x (3.24 x 10-2)/ 4.80 x 104
2. 17/ 3.88 x 107 7. 42 x (6.02 x 1023)/ .016
3. (2.9 x 10-5) x (8.1 x 102) 8. 12.0/ 6.02 x 1023
4. (4.3 x 10-5)39. 0.00000016/ 74.3
5. 5.40 x 10-18/ 769 10. 10.0/ 54,600
V. Answer the following questions keeping in mind significant figures and dimensional
analysis.
1.What is the density of an object that has a mass of 67.0 g and a volume of 14.7
mL?
2. What is the density of an object that has a mass of 17.0 g and is a cube with
dimensions of 1.2 cm x 7.4 cm x 3.0 cm?
3. What volume will 88.0 g of an object with a density of 3.44 g/ mL occupy?
4. How many quarts will 15.0 lbs of a liquid with a density of 2.08 g/ mL occupy?
5. What will be the mass of 0.047 liters of a substance with a density of 8.73 g/ mL?
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