Problem Solving Chapter 4 Assignment & Problem Set

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Problem Solving Chapter 4 Assignment & Problem Set Study Guide: Things You Should Know Vocabulary (know the definition and what it means):  units  conversion factor  independent variable  dependent variable  direct relationship of variables  indirect relationship of variables  slope of a graph Learning Objectives:  key steps in solving quantitative problems  how to rearrange an algebraic equation to solve for a given variable  how to construct a conversion factor from two equal quantities  how to solve numerical problems using conversion factors  how to prepare a scientific graph (selecting independent and dependent variables, scaling the graph, labeling axes, creating a title, drawing a trend line  how to analyze a scientific graph (reading values, calculating slope, predicting a trend)

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Problem Solving Chapter 4 Assignment & Problem Set

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•Read Chapter 4 and Appendix B (Graphing) •Lab 3: Mass, Volume, and Density •Test is cumulative •Warm-ups and problems will be collected before you take the test. Answer all problems in the space provided. For problems involving an equation, carry out the following steps: 1. Write the equation. 2. Substitute numbers and units. 3. Show the final answer with units. There is no credit without showing work. Algebra 1. Solve the all the following equations for “B”. a. A / B = C

b. AB / C = XY

c. (AB) + C = XY

d. (A/B) + C = X / Y

Conversion Factors 2. Write these conversion factors as equalities. a. centimeters and meters b. decimeters and meters c. milligrams and grams d. seconds and minutes e. feet and yards f.

dollars and cents

g. milliliters and cubic centimeters Using Single Conversion Factors 3. 42 minutes to hours

4. 42 minutes to seconds

5. 15.2 kilograms to grams

Problem Solving Chapter 4 Assignment & Problem Set 6. 0.123 meters to centimeters

7. 14.8g to micrograms

8. 0.0371m to kilometers

Using Multiple Conversion Factors 9. 5.2 kilograms to milligrams

10. 5.0 x 104 millimeters to kilometers

11. 72 km/h to cm/s

12. yards to millimeters (note: 1 in = 2.54 cm)

13. 7.5 x 104 nm to kilometers

14. 3.9 x 105 mg to decigrams

Conversion Factors 15. Write these conversion factors as equalities. These involve linear, squared and cubed conversions. a. cm to m b. cm2 to m2 c. cm3 to m3 d. mm2 to m2 e. km3 to m3

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Problem Solving Chapter 4 Assignment & Problem Set

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Using squared and cubic conversion factors 16. 7.56 mm2 to m2 17. 2.4 x 103 cm3 to m3 18. 37 dm3 to mm3

Word Problems 19. A small piece of gold has a volume of 1.35 cm3. a. What is the mass, given that the density of gold is 19.3g/cm3?

b. What is the value of this piece if the market value of gold is $11/g?

20. What is normal body temperature (37oC ) on the Kelvin scale?

21. (Honors) A 2.00 kg sample of coal has the following composition: 1.30 kg of carbon, 0.20 kg of ash, 0.15 kg of water, and 0.35 kg of volatile (gas-forming) material. How much carbon is in 125 kg of coal?

22. An atom of gold has a mass of 3.271 x 10-22 g. How many atoms of gold are in 5.00 g of gold?

23. What is the mass in kilograms of 14.0 L of gasoline? The density of gasoline is 0.680 g/cm3.

24. A volume of 5.00 mL of mercury is added to a beaker that has a mass of 87.3 g. What is the mass of the beaker with the added mercury?

25. A cheetah can hit a top speed of 112 km/h. What is this in m/s?

Problem Solving Chapter 4 Assignment & Problem Set

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26. (Honors) A flask that can hold 158 g of water at 4oC can hold only 127 g of ethanol. What is the density of ethanol?

27. (Honors) A watch loses 0.15 s every minute. How many minutes will it lose in one day?

28. (Honors) Sea water contains 0.80 cg strontium per kg of sea water. How many grams of strontium are in one cubic meter of sea water?

29. The density of aluminum is 2.70 g/cm3. What is the mass of a cube of aluminum that is 2.00 cm on each edge?

30. (Honors) Gold sells for $375/ounce. How many milligrams of gold could you buy for 51 cents? (note: 16 oz = 1 lb and 1 lb = 454 g)

31. Light travels at a speed of 186000 miles per second. How many kilometers will it travel in exactly 4 hours? (note: 1609 m = 1 mile)

32. (Honors) The average density of the earth is 5.52 g/cm3. Express this density in kg/dm3.

Review 33. How many significant figures are in each of these measurements? a. 5.12 g b. 3.456 x 106 kg c. 0.04504 mm 34. Write the answer to the correct number of sig figs. a. 37.562 g – 4.20 g b. 2.34 x 10-3 / 5.7825 x 108