Characteristic Physical Properties Some examples of quantitative physical properties include: • • • • Density Freezing point Melting point Boiling point These properties can be used to identify a pure substance. DENSITY • density is the amount of matter per unit volume of that matter DENSITY To calculate the density of a substance, we need two pieces of information; 1. mass • measured in mg, g, kg using a scale or balance 2. volume • measured in mL, L using a graduated cylinder or cm3, m3 using a ruler DENSITY To calculate the density of a substance, use the following equation: m D V Determining Mass Triple Beam Balance Reading a Triple Beam Balance Reading a Triple Beam Balance Reading a Triple Beam Balance Volume = length x width x height V=lwh ο° = 3.14 V = ο° r2 h ο° = 3.14 Graduated Cylinder Example #1 6.6 mL Bottom of meniscus Example #2 53 mL Bottom of meniscus Displacement Method • Fill graduated cylinder partially with water • Read initial volume • Place in solid • Read final volume Volume solid = Volume final – Volume initial Overflow Method • Fill overflow can until water starts to pour out • Place in solid • Collect the overflow water in a graduated cylinder Volume solid = Volume overflow Given State what the question is giving you. (Don’t forget the symbols and units) m = 12 g V = 15 mL Required What does the question ask you to find? Use appropriate symbols. D=? Analysis Rearranged equation that you will use to answer the question. D=m/V Solve Solve the problem. Make sure to include the units. 12 π π·= 15 ππΏ π· = 0.80 π/ππΏ Statement ο the density of the Make a statement with the answer and units. liquid is 0.80 g/mL. A softball has a mass of 360 g and a volume of 270 cm3. Find its density. Given: Mass, m = 360 g Volume, V = 270 cm3 Required: Density, D in g/cm3 Analysis: π· = π Solution: π· = π π π D = 360 g 270 cm3 D = 1.33 g/cm3 Statement: οthe density of the softball is 1.33 g/ cm3 Calculate the density of a metal sample that is 18.00 cm long, 9.21 cm wide, and 4.45 cm high and that has a mass of 14.25 kg. What is the identity of the metal? Given: Required: Analysis: l = 18.00 cm w = 9.21 cm h = 4.45 cm m = 14.25 kg V (cm3) D (g/cm3) V = lwh π π·= π Calculate the density of a metal sample that is 18.00 cm long, 9.21 cm wide, and 4.45 cm high and that has a mass of 14.25 kg. What is the identity of the metal? Solution: V=l w h V = (18.00 cm)(9.21 cm)(4.45 cm) V = 738 cm3 π π·= π D = 14.25 kg 738 cm3 D = 0.0193 kg/cm3 D = 19.3 g/cm3 Statement: οthe density of the metal is 19.3 g/cm3 The metal is gold. • Density Problems Worksheet • pg. 198 #1, 3-10 Test (Chapter 5) – Thursday Sept 18