Kilogram and Density

CHAPTER 1 1. List the cardinal SI base quantities, units, and symbols. TIME Second (s) 2. Give the correct SI derived units of the pursuance quantities. Density speed up Acceleration Force Pressure kg/m3 Energy 3. Convert the following ? m (Ans. 1. 22) a. 1. 22 x 10-9 km = b. 6. 523 x 10-4 nm = c. 2. 5x 10-9 nm3 = d. 30. 5 cm/? s = e. 9. 6 ng/mm2 = 4. Mm (Ans. 6. 523 x 10-19) mm3 (Ans. 2. 5 x 10-27) km/h (Ans. 1. 09 x 106) kg/m2 (Ans. 9. 6 x 10-6) Perform the following calculations and report each answer with the correct number of signifi basist figures and units. b. 2. 457 m x 1. 2 m x 2. 45 m d. 3. 6050 cm x (24. 10 cm 23. 0 cm) a. 3. 45 m 3. 4 m c. (50. 214 g 49. 93 g) x 1. 224 cm / 55. 22 cm3 e. 4. 0 x 102 cm 3 cm f. ?2. 7612g ? 2. 7601g ? 2. 20cm 3 g 26. 167m ? 83m 5. nose candym h. 12. 64 cm 48 mm + 0. 246 m (answer in meters) 7. 87 g/m2 (16. 1 m 8. 44 m) i. Ans. a) 0. 1 m b) 7. 2 m3 c) 6. 3 x 10-3 g/cm2 d) 3. 61 cm2 e) 4. 0 x 102 cm f) 5. 0 x 10-4 g/cm3 g) 21. 4 g/m3 h) 0. 324 m i) 1. 03 g/cm3 5. The element beryllium is considered toxic at a concentration of 3. 0 x 10-12 g/cm3. What is this concentration in ng/m3? (Ans. 3. 0 x 103) 6. The number compactness of the earth is 5. 52 g/cm 3. What is its density in a) ? /mm3? (Ans. 5. 52 x 103) b) lb/ft3? (1 lb = 453. 6 g 1 in = 2. 54 cm) (Ans. 345) 7. Diamond has a density of 3. 513 g/cm3. The mass of baseball diamonds is often measurable in carats where 1 carat = 200 mg. What is the volume (in cm 3) of a 2. 5 carat diamond? (Ans. 0. 14) The density of a liquid alcohol is 0. 79 g/cm 3. A tank quantity 3. 2 m x 0. 0020 km x 4. 1 mm is convergeed with the alcohol. What is the mass of the content in kg? (Ans. 21) The density of fortunate is 19. 3 g/ cm 3. A 3. 4 mg sample of gold is hammered into a squ are foil that is 8. 6 ? 10? 6 cm thick. What is the length of a side of the square, in cm? Ans. 4. 5) A 14-karat gold ring comprises 58. 3% gold and weighs 12. 41 g. If gold sells for $276. 00 /ounce, what is the value of the gold in the ring? (1 oz = 28. 35 g) (Ans. $70. 4) A packing substantive has a density of 12. 8 kg/m 3. How legion(predicate) lbs of this material are needed to fill a 2. 00 ft3 box? (1lb = 454 g 1in = 2. 54 cm) (Ans. 1. 60 lb) 8. 9. 10. 11. 12. A jogger runs at an number speed of 6. 5 mi/h. (1 mile = 1. 609 km 1 in = 2. 54 cm) a) How fast is she running in m/s? (Ans. 2. 91 m/s) b) How many kilometers does she run in 98 min? (Ans. 17 km) c) How farsighted should it take her to cover 12 km? (Ans. 1. h) d) If she starts a run at 1115 am, what time is it after she covers 4. 75 x 10 4 ft? (Ans 1238pm) 13. Manganese makes up 1. 3 x 10-4 percent by mass of the elements found in a normal healthy body. How many grams of manganese would be found in the body of person weighing 183 lbs? (2. 2 lb = 1. 0 kg) (Ans. 0. 11 g) If 5. 00 lbs of mercury address $175 and mercury has a density of 13. 6 g/cm3, what is the cost of 2. 00 L of mercury? (1 lb = 454 g) (An s. $ 2. 10 x 103) If a rainfalldrop weighs 65 mg on mean(a) and 5. 1 x 10 5 raindrops fall on a lawn every minute. What mass (in kg) of rain falls on a lawn in 2. h? (Ans. 5. 0 x 103 kg) A concentrated sulfuric acid solution has a density of 1. 84 g/cm3 and contains is 95. 7% H2SO4 by mass. (Note density of a solution means mass of solution divided by volume of solution. ) a) How many grams of pure H 2SO4 are contained in 1. 00 gallon of this solution? 3. 785 L) (Ans. 6. 66 x 103) (1 gallon = 14. 15. 16. b) How many mm3 of this solution contain 100. 0 mg of pure H2SO4? ( Ans 56. 8 mm3) 17. A gold alloy has a density of 12. 4 g/ml and contains 75. 0% gold by mass. Calculate the volume of this alloy that can be made from 255 g of pure gold. (Ans. 27. 4 mL) 18.Whole milk contains 8. 0 % butterfat by mass. If 5. 0 g butterfat supplies 15 calories, how many calories are contained in 1. 45 gallons of whole milk ( density of milk = 0. 8 g/ml 1 gallon = 3. 785 L) (Ans. 1. 1 x 103 cal) Ea rths oceans have an average depth of 3. 800 x 10 3 m, a total area of 3. 63 x 108 km2, and an average concentration of dissolved gold equal to 5. 80 ng/L. 19. a) Caculate the volume of the oceans in cm3. (Ans. 1. 38 x 1024) b) How many kilograms of gold are in the oceans? (Ans. 8. 00 x 109 kg) c) If a recent price of gold was $370. 00/troy oz, what is the value of gold in the oceans? 1 troy oz =31. 1g) (Ans. $ 9. 52 x 1013) 20. When combining the masses 0. 0562 kg, 124. 213 g and 1635 mg, the total should be reported to ______ significant figures. (Ans. 4) 21. What is the best answer to report for the following mathematical work? 15. 415 ? 14. 515 + 0. 0402597 (Ans. 0. 300) 3. 465 22. How many vials of volume 24. 2 mm 3 can be filled from a come out sample of 0. 525 kg of a liquid of density 0. 900 g/cm3? (Ans. 2. 41 x 104) It is estimated that uranium is relatively common in the earths crust, occurring in amounts of 4 g/ metric function ton. A metric ton is 1000 kg.At this conce ntration, what mass of uranium is present in 1. 0 mg of the earths crust? A. B. C. D. E. 4 nanograms 4 micrograms 4 milligrams 4 x 10-5 g 4 centigrams 23. 24. Which of the following are intensive properties? W. mass X. density Y. volume Z. boiling point Which one of the following is not a physical property of water? A. B. C. D. E. It exists in solid, liquid, and gaseous forms It reacts with sodium to form sodium hydroxide It is sporty and colorless It freezes at 100? C at 1 atm pressure It boils at 100? C at 1 atm pressure 25. ANSWERS 23 A 24 X and Z 25 B.