Notes Aug 22 2013 Express 627 mL in liters quarts and gallons 1 06 quart 1 L 4 quart 1 gallon 1000 mL 1 L 627 mL x 1 L 1000 mL 627 1000 0 627 L 627 mL x 1 L 1000 mL x 1 06 qt 1 L 627 1000 x 1 06 answer for quarts all the above 1 gal 4 qt 627 1000 x 1 06 4 answer for gallons Convert 60 miles per hour to km s 1 km 0 621 mi 1 hr 3600 s 60 mi hr x 1 km 0 621 mi x 1 hr 3600 s 0 026 km s The Unit Factor Method EXAM Specific heat is often expressed in units of joules per g per degree Celsius Convert from J g x C to cal kg x K 4 184 J 1 cal 1000 g 1 kg C K size of C size of K Percentage Percentage part per hundred 85 85 100 Ratio 0 85 o Ratio and Percentage can t be interchanged ratio x 100 Fraction ConcepTest Bobby Bulldog got scores of 87 82 76 and 59 on four hour exams that were each worth 90 points What is his percentage score on the total of the hour exams A 0 844 B 8 44 C 84 4 D 76 87 82 76 59 90 x 4 304 360 x 100 84 4 Percentage Typical seawater contains an average of 1 mg of gold per 1000 kg of water What percentage does that represent o 1 mg x 1 g 1000 mg x 1 kg 1000 g 1 mg 1 x 10 6 kg o 1 x 10 6 kg gold 1000 kg water x 100 10 6 x 102 103 10 7 Sterling silver contains 92 5 silver and 7 5 copper A typical fork weighs 45 grams and the price of pure silver is currently 0 72 per gram What is the silver value per dozen of the forks o 45 g x 0 925 41 625 g x 12 499 5 g x 0 72 359 64 360 Properties Applied Math Density math volume Heat Capacity q mass x C x T ConcepTest Which of the polymers in the table would float in water Polymer PVC Polyethylene Nylon Polypropylene Water Density g cm3 1 38 0 95 1 16 0 90 0 9999 1 A PVC Nylon C Nylon Polyethylene B Polyethylene Polypropylene D none Density Calculations Density mass volume Density mass volume Calculate the density of a substance if aaa grams of it occupies bbb cm 3 o mL cm3 cubic centimeter CC If a liquid s density is ccc what volume is equivalent to ddd g A fff g piece of metal ggg is dropped into a graduated cylinder that contains xxx mL of water The water level rises to yyy mL What is the specific gravity of ggg o mL1 xxx mL2 yyy o fff g yyy mL xxxx mL Heat Transfer Measurements Heat Units o Joule 4 184 J 1 Cal 1 heartbeat o calorie 1 kilocalorie Calorie food 1000 calories o BTU British Thermal Unit used by engineers appliances Transfer equation constants o Specific heat o Molar heat capacity Heat form of energy Temperature measure of heat Heat q amount of material m x C J g x C x T C Water high heat capacity