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Unit 3: Review Math Stuff and Heat and States of Matter I. Tell how many sig figs are in each number and then write them in proper scientific notation. 1. 0.000 000 210 _____ ______________________________ 2. 435 000 _____ ______________________________ 3. 10 _____ ______________________________ 4. 62.50 _____ ______________________________ 5. 0. 100 _____ ______________________________ 6. 1.500 _____ ______________________________ 7. 0.000 2050 _____ ______________________________ 8. 234 500 000 000 _____ ______________________________ 9. 100.000 _____ ______________________________ 10. 0.0200100 _____ ______________________________ II. Convert the following using the metric system chart. 1. 2500mL__________________________________hL 2. 100m __________________________________cm 3. 1.5 X 10-3 kg _____________________________dg 4. 5000g __________________________________pg 5. 12 ML _________________________________daL 6. 0.000 000 250cm ________________________nm 7. 2L ___________________________________L 8. 750ms ________________________________s 9. 250 000 000 ng __________________________kg 10. 890 daL _______________________________dL III. Answer the following short answer questions. 1. Where do significant figures come from? 2. How are significant figures used in calculations? 3. What is the rule concerning adding and subtracting numbers? What is the rule concerning multiplying and dividing numbers? 4. What is the difference between accuracy and precision of data? 5. Give examples of accurate data and precise data by “making up” some numbers that fit the definitions. 6. What units are the following measured in: mass, length, volume, time, temperature, heat, amount of matter, pressure, molarity? 7. What is the precision of the following equipment: balance, ruler, thermometer, graduated cylinder? 7. Draw a heating curve and label the following: (use ½ of the back of this sheet) Where the substance is a solid, a liquid, a gas, a solid and liquid, a liquid and gas, the heat of fusion, the heat of vaporization, the boiling point, and the melting point. 8. Compare and contrast heat and temperature. 9. What happens to the temperature during a change in state? Why? 10. Draw a phase diagram and label the following: (use ½ of the back of this sheet) Triple point, critical point, where the substance is a solid, a liquid, and a vapor. Draw arrows to show condensation, evaporation, sublimation, deposition, melting, freezing. 11. What is happening on the lines on a phase diagram? 12. What is true at the critical point? 13. What is true at the triple point? 14. Why do scientists use phase diagrams? 15. What causes changes in state? 16. What does kinetic theory say about the arrangement and behavior of solids, liquids, and gases?