Metrics – Density - Graphs Chapter 1. Metrics (SI) Most other nations use the metric system System of measurement based on multiples of ten.

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Presentation transcript:

Metrics – Density - Graphs Chapter 1

Metrics (SI) Most other nations use the metric system System of measurement based on multiples of ten.

B. SI Units QuantityBase UnitSymbol Length Mass Volume Time meter kilogram liter second m kg L s TempKelvinK

B. SI Units deci-d10 -1 centi-c10 -2 milli- m10 -3 PrefixSymbolFactor kilo-k khdbdcm Earth: Length Lab

A. SI Prefix Conversions 1. Find the difference between the exponents of the two prefixes. 2. Move the decimal that many places. To the left or right?

A. SI Prefix Conversions khdbdcm 532 m = _______ km 0.532

A. SI Prefix Conversions 1) 20 cm = ______________ m 2) L = ______________ mL 3) 45 kg = ______________ g 4) 805 dm = ______________ km , khdbdcm

Prefix Conversions Assume your mass is 55 kg. How many grams do you weigh? khdbdcm

B. Dimensional Analysis Steps: 1. Identify starting & ending units. 2. Line up conversion factors so units cancel. 3. Multiply all top numbers & divide by each bottom number. 4. Check units & answer.

B. Dimensional Analysis Lining up conversion factors: 1 L = 1000 ml 1000 ml 1 L = 1

B. Dimensional Analysis How many milliliters are in 15 liters of Mt. Dew? 15 L = 15,000 mL LmL 1000 mL 1 L

B. Dimensional Analysis Your European hairdresser wants to cut your hair 8 cm shorter. How many mm will he be cutting off? 8 cm10 mm 1 cm = 80 mm  cm mm

B. Dimensional Analysis 6) How many millimeters long is a 5K (5 km) race? 5 km 1000 m 1 km = 5,000,000 mm kmmm 1000mm 1 m

Measuring Volume Volume - amount of space occupied by an object Volume of a solid rectangle (V = l x w x h) 1 mL = 1 cm mL = _____L 1 L = _______ cm cm 3 = ______ dm Liters = ______cm Liters = ______dm 3 Determine Book’s Volume

Measuring Volume Odd shape solid Method: water displacement Initial Volume ____ Final Volume ____ Object’s Volume ____

Measuring Mass Mass is a measurement of the quantity of matter in an object.

Density Density - mass per unit volume (g/cm 3 ) - (g/mL) D =D = MVMV D M V

D = g/cm3 or g/mL M = g V = cm3 or mL

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

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

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

Float v. Sink

Water Solid Liquid Gas D = 1 g/mL

Temperature K = C So, on the Kelvin scale, water freezes at 273 K and boils at 373 K. F = (C × 9/5) + 32

A. Types of Graphs Line Graph  shows the relationship between 2 variables Dependent Variable Independent Variable

A. Types of Graphs Bar Graph  shows information collected by counting

A. Types of Graphs Pie Graph  shows distribution of parts within a whole quantity

B. Graphing & Density Mass (g) Volume (cm 3 ) Slope = ∆Y ∆X