2. The Metric System

3. UNITS OF MEASUREMENT Use SI units — based on the metric system LengthMassVolumeTimeTemperature meter, m kilogram, kg seconds, s Celsius degrees, ˚C kelvins, K liter, L

4. Mass vs. Weight Mass: Amount of matter (grams, measured with a BALANCE) Weight: Force exerted by the mass, only present with gravity Can you hear me now?

5. Uncertainty in Measurement 2 Reasons: ◦instruments aren’t flawless ◦measuring involves estimation (last digit) Reliability of measurements can be checked 2 ways: ◦Precision: same result obtained over and over again ◦Accuracy: how close the obtained value is to the accepted value

6. Metric Prefixes

7. Equalities State the same measurement in two different units length 10.0 in. 25.4 cm

8. DENSITY Mercury 13.6 g/cm 3 21.5 g/cm 3 Aluminum 2.7 g/cm 3 Platinum

9. Solving Calculations Strategy 1. Get dimensions in common units. 2. Calculate volume in cubic centimeters. 3. Calculate the density.

10. Problem A piece of copper has a mass of 57.54 g. It is 9.36 cm long, 7.23 cm wide, and 0.95 mm thick. Calculate density (g/cm 3 ).

11. Volume Displacement A solid displaces a matching volume of water when the solid is placed in water. 33 mL 25 mL

12. Temperature Scales Fahrenheit Fahrenheit Celsius Celsius Kelvin Kelvin Anders Celsius 1701-1744 Lord Kelvin (William Thomson) 1824-1907

13. Temperature Scales 1 kelvin = 1 degree Celsius Notice that 1 kelvin = 1 degree Celsius Boiling point of water Freezing point of water Celsius 100 ˚C 0 ˚C 100˚C Kelvin 373 K 273 K 100 K Fahrenheit 32 ˚F 212 ˚F 180˚F

14. Calculations Using Temperature Generally require temp’s in kelvins Generally require temp’s in kelvins T (K) = t (˚C) + 273.15 T (K) = t (˚C) + 273.15 Body temp = 37 ˚C + 273 = 310 K Body temp = 37 ˚C + 273 = 310 K Liquid nitrogen = -196 ˚C + 273 = 77 K Liquid nitrogen = -196 ˚C + 273 = 77 K Generally require temp’s in kelvins Generally require temp’s in kelvins T (K) = t (˚C) + 273.15 T (K) = t (˚C) + 273.15 Body temp = 37 ˚C + 273 = 310 K Body temp = 37 ˚C + 273 = 310 K Liquid nitrogen = -196 ˚C + 273 = 77 K Liquid nitrogen = -196 ˚C + 273 = 77 K

15. Dimensional Analysis

16. Conversion Factors Fractions in which the numerator and denominator are EQUAL quantities expressed in different units Example: 1 in. = 2.54 cm Factors: 1 in. and 2.54 cm 2.54 cm 1 in.

17. How many minutes are in 2.5 hours ? Conversion factor 2.5 hr x 60 min = 150 min 2.5 hr x 60 min = 150 min 1 hr 1 hr cancel By using dimensional analysis / factor-label method, the UNITS ensure that you have the conversion right side up, and the UNITS are calculated as well as the numbers!

18. English and Metric Conversions If you know ONE conversion for each type of measurement, you can convert anything! You will need to know and use these conversions: ◦Mass: 454 grams = 1 pound ◦Length: 2.54 cm = 1 inch ◦Volume: 0.946 L = 1 quart

19. Steps to Problem Solving 1. Read problem 2. Identify data 3. Make a unit plan from the initial unit to the desired unit 4. Select conversion factors 5. Change initial unit to desired unit 6. Cancel units and check 7. Do math on calculator 8. Give an answer using significant figures

20. Simplified Problem Solving Strategy Where do we want to go? What do we know? How do we get there? Does it make sense?