Chapter 2 Matter and Energy UNIT ESSENTIAL QUESTIONS: 1) WHAT IS THE RELATIONSHIP BETWEEN MATTER AND ENERGY? 2) HOW IS MATTER STUDIED AND WHAT IS NECESSARY TO PERFORM THESE STUDIES? Lesson Essential Question: WHAT IS ENERGY AND WHAT FORMS DOES IT TAKE? Section 1: Energy Energy: the capacity to do work. ◦ Whenever matter changes, energy is involved! Can be endothermic or exothermic. Endothermic – energy is absorbed Exothermic – energy is released Law of Conservation of Mass(Matter)/Energy Energy (E) cannot be created or destroyed, only transferred. (The same is true for matter!) *This is what happens in a chemical or physical change. ◦ System – all components being studied ◦ Surroundings – everything outside the system ◦ Energy is transferred between system and surroundings ◦ E can be changed into other forms of E. Ex: Light, heat, chemical, mechanical, electrical, sound Energy as Heat Heat – energy transferred between two objects at different temperatures ◦ Always transferred from high E (hotter object) to low E (cooler object) Kinetic energy – energy of motion Temperature – measure of average kinetic energy of particles in the object ◦ Kelvin scale – SI unit ◦ Absolute zero = no kinetic energy ◦ K = oC + 273.15 Heat vs. Temperature Addition of heat does not always change temperature ◦ Example: boiling water ◦ Adding more heat at the boiling point does not cause it to change temperature ◦ So what is happening to the energy being transferred to the water at the boiling point? Think about what happens to water molecules at the boiling point. Phase change! Heating/Cooling Curve Temperature change = change in molecular motion (kinetic energy) No temperature change = state change Specific Heat Quantity of heat required to raise one gram of a material 1 K (or 1 oC) SI unit for energy = Joule (J) ◦ Units for specific heat = J/(g∙oC) or J/(g∙K) ◦ Metals = low specific heats- they heat up/cool down easily! Aluminum: 0.897J/g∙K Copper: 0.385J/g∙K Gold: 0.129J/g∙K ◦ Water = high specific heat- does not heat up/cool down as easily: 4.18J/g∙K Calculating Specific Heat What do we need to know to calculate specific heat? E added as heat, mass, & T Formula: Cp = q / (m x T) ◦ Note: T = Tf – Ti (change in anything is always final minus initial) Lesson Essential Question: HOW ARE IDEAS AND QUESTIONS APPROACHED IN SCIENCE? Scientific Method Revise hypothesis Form Hypothesis Construct a Theory Ask Questions Test Hypothesis Make Observations Publish Results Analyze Results Draw Conclusions Experiments Hypothesis – a prediction or educated guess as to what will happen. ◦ Represents cause and effect- ‘if, then’ statement Testing ◦ Variable – factor that could effect results Change only 1 at a time ◦ Control – variable that is kept constant Many of these in experiment. Theory – explains why things happen. ◦ Repeated testing needed ◦ Based on lots of data and observations Laws Law – a summary or description of events ◦ Tells how things work, not why ◦ Helps predict events/behavior (because they follow a pattern according to the law) Law of conservation of mass – mass cannot be created or destroyed in ordinary physical or chemical changes ◦ Same as law of conservation of energy Model – represents an object, a system, a process, or an idea. ◦ Computer generated, 3D, drawing, etc. Theories vs. Laws Planets move in an ellipse with a star at a focus. Kepler’s 1st Law- describes motion of planets. The amount of disorder in an isolated system never decreases. 2nd Law of Thermodynamics- describes chaos. The universe was created when a massive explosion occurred. Big Bang Theory- explains where universe & planets came from. As the pressure of a gas increases, the volume of the gas decreases. Boyle’s Law- describes P & V effect on gases. Continents developed from one massive continent (Pangaea) where they broke apart and moved due to tectonic plates in the Earth’s lithosphere. Plate Tectonics Theory – explains where continents came from. Lesson Essential Questions: HOW DO WE OBTAIN THE CORRECT NUMBER OF DIGITS IN CALCULATIONS? HOW ARE VERY SMALL OR LARGE NUMBERS REPRESENTED? Section 3: Measurements & Calculations in Chemistry Accuracy vs. Precision ◦ Accuracy – how close a measurement is to the true/correct value ◦ Precision – how close several measurements are to each other Introduction to Sig Figs Use the ‘ruler’ to measure the width of your table. Use each ‘side’ of the ruler to make the measurements. You should have a total of four measurements. Record these on a piece of paper. Include units! Each side should have the following number of decimal places: #1: 1 #2: 1 #3: 1 #4: 2 Significant Figures (significant digits) D = 3.421g/5.957mL = 0.5742823568…g/mL ◦ How do we know where to round? Significant Figures are all digits known with certainty plus one more uncertain/estimated digit. ◦ Rules that govern how you determine where to “cut off” a number ◦ Calculators do not “know” these rules, so it’s up to YOU to know where to round! Also helps to show degrees of accuracy and precision- more sig figs = better accuracy and also helps multiple measurements be precise! Rules for determining significant digits Rule #1: Nonzero digits are always significant. ◦ ◦ 46.3 m 6.295 g 3 sig figs 4 sig figs Rule #2: Zeros between significant digits (typically nonzero digits) are significant. ◦ ◦ 40.7 L 3 sig figs 87,009 km 5 sig figs Rule #3: Zeros in front of nonzero digits are not significant. ◦ ◦ 0.009 587 m 0.000 09 kg 4 sig figs 1 sig fig Rules for sig figs continued… Rule #4: Zeros both at the end of a number AND to the right of the decimal are significant. ◦ ◦ 85.00 g 4 sig figs 10 sig figs 9.070 000 000 cm Rule #5: Zeros at the end of a number but to the left of a decimal point may or may not be significant. *If a zero has not been measured or estimated, it is not significant. *A decimal point placed after zeros indicates that the zeros are significant. 2000 m 1 sig fig 4 sig figs 2000. m Rules for sig figs continued… Sig figs & scientific notation If a number is written in scientific notation, only look at the first number for sig figs! The x10Y does not impact sig figs- it only changes size! 2.0 x 103m 3.041 x 10-2g 2 sig figs 4 sig figs Rules for Using Significant Figures in Calculations 1) In multiplication and division problems, the answer cannot have more sig figs than there are in the measurement with the least sig figs. *Look for the # with the least sig figs! Ex: 12.2257 m 6 sig figs 4 sig figs x 1.162 m 14.2062634 m2 round off to 4 sig figs = 14.21 m2 Rules for Calculating continued… 2) In addition and subtraction, the result can be no more certain than the least certain number in the calculation. * Look for the # with the least decimal places! Ex: 3.95 g 2.879 g + 213.6 g 220.429 g = 220.4 g 2 decimal places 3 decimal places 1 decimal place round to 1 decimal place Finally… 3) If a calculation has addition/subtraction and multiplication/division, round after each operation. Ex: 7.92g – 8.5g2 = 7.92g – 3.5g = 4.4g 2.46g 4) In chemistry you will follow sig fig rules to know where to round off all of your calculations. Unlimited Significant Figures Numbers that are exact or counted have infinite sig figs. Have no impact in determining sig figs in an answer from a calculation. ◦ Examples: 35 cars = infinite sf 1 m = 1000 mm counted! exact! Conversion factors often have infinite sig figs! Warm-Up! Is there an easier way to write such large and small numbers ?? YES! Average distance between sun and earth: 93,000,000 miles Diameter of an atom: 0.000 000 000 062 m Imagine you wanted to measure the distance in between planets of our solar system and the diameter of an atom. What would the size of your measurements look like? Scientific Notation Very large or very small numbers are easier to write using scientific notation. Form = M x 10y ◦ M = number between 1 and 10 (not including 10!) ◦ y = integer (can be positive or negative) Examples: ◦ 299 800 000 m/s = 2.998 x 108 m/s ◦ 0.000 001 23 cm3 = 1.23 x 10-6 cm3 ◦ 4500. g = 4.500 x 103 g ◦ 6.79 x 10-7m = 0.000 000 679m ◦ 5.307 x 105L = 530,700L Follow sig figs when calculating!