Data Analysis Chapter 2 Section 2.1 Pgs. 25-30 Base Units of Measurement Length Volume Base unit – Meter, m Base unit – Liter, L Mass Base unit – Gram, g Which is longer, a kilometer or a mile? Prefixes • Milli – thousandath – • Centi – hundred – • Ex. Millenium Ex. Century Deci – ten – Ex. Decade • Kilo - thousand • Relative to the base unit Length Common Units of Length Abbreviation Meter Equivalent Millimeter mm 1000 mm = 1 m Centimeter cm 100 cm = 1 m Decimeter dm 10 dm = 1 m Meter m 1m Kilometer km 1 km = 1000 m Base Unit Volume Common Units of Length Abbreviation Meter Equivalent Milliliter ml 1000 ml = 1 L Centiliter cl 100 cl = 1 L Deciliter dl 10 dl = 1 L Liter L 1L Kiloliter kl 1 kl = 1000 L Base Unit Mass Common Units of Length Abbreviation Meter Equivalent Milligram mg 1000 mg = 1 g Centigram cg 100 cg = 1 g Decigram dg 10 dg = 1 g Gram g 1g Kilogram kg 1 kg = 1000 g Base Unit Density Do you remember how to find density from physical science class? Density = mass/volume D = m/V Units for solids are typically: Or g/cm3 Units for liquids are typically: g/mL Refresher Problems You have 16 grams of sucrose (a sugar) that fits in a box that is exactly 10 cm3. What is the density of sucrose? 16 g/10 cm3 = 1.6 g/cm3 1.59 is actually the density of sucrose which is typically table sugar Refresher Problems You have 20 mL of maple syrup to smother all over your pancakes. If maple syrup has a density of 1.3 g/mL how much more mass will your fluffy pancakes have? m = d x V = (1.3 g/mL)(20 mL) = 26 g m d V Temperature The Kelvin (K) is actually the SI unit for temperature To convert Celsius (oC) into Kelvin the equation is: C + 273 = K To convert Kelvin into Celsius the equation is: K – 273 = oC Temperature Problems Convert 115 oC into Kelvin 115 oC + 273 = 388 K Convert 356 K into Celsius 356 K – 273 = 83 oC Homework Temperature/Density WS Read pgs 25-30 Answer problem #'s 1, 2, 3, 5, 6, 9, 10, 11 Dimensional Analysis • 153 mg = ______ g Start by writing down what you are starting with 153 mg Put the units you want canceled on the bottom and the unit you are looking for on top: 153 mg x ________g__ mg Dimensional Analysis Cancel units 153 mg x ________g__ mg Are the units left over what we were looking for? Yes 153 mg x ________g__ mg Dimensional Analysis Insert the proper conversion factors 153 mg x ____1___g__ 1000 mg Do the math and solve: 0.153 g Dimensional Analysis 26.7 mg = ______ kg Start by writing down what you are starting with 26.7 mg Put the units you want canceled on the bottom and the unit you are looking for on top. If they are not within 1000 units of each other use the measurement that is within 1000 units: 26.7 mg x ________g_ mg Dimensional Analysis Cancel units 26.7 mg x ________g_ mg Are the units left over what we were looking for? No 26.7 mg x _________g_ mg Put the units you want canceled on the bottom and the unit you are looking for on top. 26.7 mg x ________g_ x ________kg__ Dimensional Analysis Cancel units 26.7 mg x ________g_ x _________kg__ mg g Are the units left over what we were looking for? Yes 26.7 mg x ________g_ x _________kg__ mg Insert the proper conversion factors 26.7 mg x ____1___g_ x ____1___kg__ g Dimensional Analysis Do the math and solve: 26.7 mg x ____1___g_ x ____1___kg__ 1000 mg (26.7 x 1 x 1 kg) / (1000 x 1000) = 0.0000267 kg = 2.67 x 10-5 kg 1000 g Dimensional Analysis • 224 oz = _____ kg 224 oz x ________g_ oz 224 oz x ________g_ x _______kg_ oz g 224 oz x ___28.4 _g_ x ____1__kg_ 1 = 6.3616 kg = 6.36 kg oz 1000 g Dimensional Analysis • • 150 mm = _____ cm Try on your own, I chose someone to do on the board Homework • • Chemistry and CP Chemistry Read pgs 34-35 Answer question #'s 17(not C), 18(not D), 25, 28 Honors Chemistry Read pgs 31-35 Answer question #'s 17(not C), 18(not D), 22, 23, 24, 25, 28