Chapter 3 Scientific Measurement 3.3 Solving Conversion Problems 3.1 Using and Expressing Measurements 3.2 Units of Measurement 3.3 Solving Conversion Problems Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Density A bar of silver has a mass of 68.0 g and a volume of 6.48 cm3. What is the density of silver? 10.5 g/cm3 The density of aluminum is 2.7 g/cm3. What is the mass of 15 cm3 of aluminum? 41 g The density of a substance is 5.4 g/mL. What is the volume of 25 g of this substance. 4.6 mL Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

List the units you are familiar with for Mass Volume Length Temperature Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Using SI Units SI Base Units Quantity SI base unit Symbol Length meter Mass kilogram kg Temperature kelvin K Time second s Amount of substance mole mol Luminous intensity candela cd Electric current ampere A Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Commonly Used Metric Prefixes Symbol Multiplier Factor Example kilo k 1000 103 1 km = 1000 m centi c 0.01 10-2 1 m = 100 cm milli m 0.001 10-3 1 m = 1000 mm micro µ 0.000001 10-6 1 m = 1,000,000 µm nano n 0.000000001 10-9 1 m = 1,000,000,000 nm Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

1 dollar = 4 quarters = 10 dimes = Conversion Factors A quantity can be expressed in different ways. 1 dollar = 4 quarters = 10 dimes = 20 nickels = 100 pennies Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Conversion factor: ratio of equivalent measurements. Conversion Factors Conversion factor: ratio of equivalent measurements. 1 inch = 2.54 cm conversion factors 1 inch 2.54 cm or Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Dimensional Analysis Dimensional analysis is a way to analyze and solve problems using the units, or dimensions, of the measurements. Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Using Dimensional Analysis Sample Problem 3.9 Using Dimensional Analysis How many seconds are in a workday that lasts exactly eight hours? Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Converting Between Metric Units Sample Problem 3.13 Converting Between Metric Units The diameter of a sewing needle is 0.073 cm. What is the diameter in micrometers? Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Calculate how many seconds are in one year (assuming 365 days Do Now: Calculate how many seconds are in one year (assuming 365 days in one year). Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

3. The density of gold is 19.3 g/cm3. What is the density in kg/m3? Do Now: 1. Convert 15.7 km to mm. 2. Convert 59 cm2 to m2. 3. The density of gold is 19.3 g/cm3. What is the density in kg/m3? Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Temperature: measure of how hot or cold an object is. Temperature Scales Temperature: measure of how hot or cold an object is. SI unit: Kelvin (K) Common unit: Celsius Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Note: with the Kelvin scale, the degree sign is not used Temperature Scales Note: with the Kelvin scale, the degree sign is not used Celsius Kelvin 100 divisions 100°C Boiling point of water 373.15 K 0°C Freezing point 273.15 K Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Temperature Scales One degree Celsius is equivalent to one Kelvin on the Kelvin scale. To convert between the temperature scales, https://www.youtube.com/watch?v=TNUDBdv3jWI K = °C + 273 °C = K – 273 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

Converting Between Temperature Scales Sample Problem 3.7 Converting Between Temperature Scales Normal human body temperature is 37°C. What is this temperature in kelvins? K = °C + 273 = 37 + 273 = 310 K Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.

END OF 3.3 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.