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Ch. 2 - Measurement I. Units of Measurement (p.34-45) Number vs. Quantity SI Base Units & Prefixes Derived Units Density Calculations

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A. Number vs. Quantity Quantity - number + unit UNITS MATTER!!

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B. SI Units Quantity & Symbol Base Unit Unit Symbol Length- I Mass- m Time- t Temp- T meter gram second kelvin m g s K Current- IampereA

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B. SI Units mega-M10 6 deci-d10 -1 centi-c10 -2 milli-m10 -3 Prefix Pre- Symbol Factor micro- nano-n10 -9 pico-p kilo-k10 3

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C. Derived Units Combination of base units. Volume - length length length 1 cm 3 = 1 mL 1 dm 3 = 1 L Density - mass per unit volume (g/cm 3 ) D= mVmV D m V

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Problem Solving Steps 1 Givens: 2 Unknowns: 3 Equations: 4 Answer:

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D. Density An object has a volume of 825 cm 3 and a density of 13.6 g/cm 3. Find its mass. GIVEN: V = 825 cm 3 D = 13.6 g/cm 3 m = ? WORK : m = DV m = (13.6 g/cm 3 )(825cm 3 ) m = 11,220 g D m V

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Problem Solving Steps 1 Givens: Include quantity, number, & unit symbols 2 Unknowns: Include quantity & unit symbols 3 Equations: Base equation & manipulated equation 4 Answer: Do the units agree? Is it reasonable?

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D. Density 1) A liquid has a density of 0.87 g/mL. What volume is occupied by 25 g of the liquid? GIVEN: D = 0.87 g/mL V = ? m = 25 g D m V WORK : V = m D V = 25 g 0.87 g/mL V = 28.7 mL

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D. Density 2) You have a sample with a mass of 620 g & a volume of 753 cm 3. Find density. GIVEN: m = 620 g V = 753 cm 3 D = ? D m V WORK : D = m V D = 620 g 753 cm 3 D = 0.82 g/cm 3

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