# Conversion Factors and Unit Cancellation

Chapter 5 Review HW = Study for tomorrows exam (bring your calculator!) No human endeavor can be called science if it can not be demonstrated mathematically. Leonardo da Vinci (1452-1519) A measurement must include: A number and a

??? A measurement must include: Number + Unit 100 50

correctly (Celcius) 40. oC 0 How many kilometers is 15,000 decimeters? How many kilometers is 15,000

decimeters? ( 1m ____ 15,000 dm 10 dm = 1.5 km )(

1 km ______ 1,000 m ) How many seconds is 4.38 days? How many seconds is 4.38 days?

( )( 24 h 4.38 d ____ 1d = 60 min _____ 1h

3.78 x 105 s )( 60 s ____ 1 min ) Measured dimensions of a rectangular solid: Length = 15.2 cm

Width = 3.7 cm Height = 8.6 cm Find volume of solid in m3 H L V=L.W.H = (15.2 cm)(3.7 cm)(8.6 cm) = 480 cm3 W

Convert 480. cm3 to m3 ( 1m _____ 480 cm cm cm . . )(

100 cm = 1m _____ )( 100 cm 0.000480 m3

= 4.80 x 10-4 m3 1m _____ ) 100 cm An irregularly-shaped sample of aluminum (Al) is put on a balance and found to have a mass of 43.6 g. The

student decides to use the waterdisplacement method to find the volume. The initial volume reading is 25.5 mL and, after the Al sample is added, the water level has risen to 41.7 mL. Find the density of the Al sample in g/cm3. (Remember: 1 mL = 1 cm3.) mass = 43.6 g final volume = 41.7 mL initial volume = 25.5 mL density = ? g/cm3 Volume of Al = Final Volume Initial Volume

= 41.7 mL 25.5 mL = 16.2 mL D = M = 43.6 g = 2.69 g/mL = 2.69 g/cm3 V 16.2 mL Find the volume that 35.2 g of carbon tetrachloride (CCl4) will occupy if it has a density of 1.60 g/mL. mass = 35.2 g density = 1.6 g/cm3 volume = ? mL

V= M = D 35.2 g = 22 cm3 = 22 mL 1.6 mL

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