Chapter 2 Matter and Energy Chapter 2 Matter and Energy Table of Contents Section 1 Energy Section 2 Studying Matter and Energy Section 3 Measurements and Calculations in Chemistry Chapter 2 Section 1 Energy Objectives • Explain that physical and chemical changes in matter involve transfers of energy. • Apply the law of conservation of energy to analyze changes in matter. • Distinguish between heat and temperature. • Convert between the Celsius and Kelvin temperature scales. Measuring Temperature Temperature: measure of the average kinetic energy or energy of motion Use Celsius scale (but SI in Kelvin). Water freezes at 0ºC Water boils at 100ºC Body temperature 37ºC Room temperature 20 - 25ºC 0º C Measuring Temperature Kelvin starts at absolute zero (-273º C) 1 K = 1ºC ºC = K - 273 K = ºC + 273 Kelvin is always bigger (good tip). Kelvin can never be negative. 273 K Chapter 2 Visual Concepts Temperature and Temperature Scale The flow of energy -heat: Energy and heat: heat 1. Thermochemistry- concerned w/ the _____ change that occur during _______ chemical rxn _____ ___. doing work supplying 2. Energy- capacity for _____ ___ or ________ heat _____ 3. Heat ( q )- energy that transfers from one object to another due to temperature difference (ex. coke in a fridge) only changes in heat can be detected! flows from warmer cooler object until objects have the same temperature this energy that transfers is thermal energy Joule (J) the SI unit of heat and energy Exothermic and Endothermic Processes Essentially all chemical reactions, and changes in physical state, involve either: release of heat (exothermic), or absorption of heat (endothermic) Exothermic - heat flowing out of a system into its surroundings: freezing condensing system loses heat as the surroundings heat up melting boiling system Ex. water freezing, raining, & CH4 + 2O2 CO2 + 2H2O + Heat gains heat as the surroundings cool down Endothermic - heat flowing into a system from its surroundings: Ex. ice melting, sweating, & CaCO3 + heat CaO + CO2 Energy C + O2 CO2 + 395 kJ C + O2 395kJ C O2 Reactants Products Energy CaCO CaO CaCO CaO + CO+2 CO2 3 + 176 3 kJ CaO + CO2 176 kJ CaCO3 Reactants Products Chapter 2 Conservation Section 1 Energy of Energy in a Chemical Reaction Chapter 2 Section 1 Energy Energy and Change, continued Energy Can Be Transferred in Different Forms • Energy exists in different forms, including • • • • • • chemical mechanical light heat electrical sound • The transfer of energy between a system and its surroundings can involve any one of these forms of energy. Chapter 2 Section 1 Energy Heat, continued Transfer of Heat May Not Affect the Temperature • The transfer of energy as heat does not always result in a change of temperature. • For example, consider what happens when energy is transferred to a mixture of ice and water. • As energy is transferred as heat to the ice-water mixture, the ice cubes will start to melt. • The temperature of the mixture remains at 0°C until all of the ice has melted. Chapter 2 Section 1 Energy Heat, continued Transfer of Heat May Not Affect the Temperature, continued • Once all the ice has melted, the temperature of the water will start to increase until it reaches 100°C. • As the water boils, the temperature remains at 100°C until all the water has turned into a gas. • The temperature remains constant during the physical changes in this system. Chapter 2 Heating Section 1 Energy Curve for Water Heat Capacity Heat Capacity: the amount of heat needed to increase the temperature of an object exactly 1 oC Heat Capacity of a substance depends on two factors: specific heat capacity (Cp )- the amount of heat it takes to raise the temperature of 1 gram of the substance by 1 oC at constant pressure also called “Specific Heat” cal/g°C J/g°C (or J/gK) water 1.00 4.18 aluminum copper silver gold 0.22 0.093 0.057 0.031 0.90 0.39 0.24 0.13 Chapter 2 Visual Concepts Specific Heat Capacity To solve for heat capacity (q)… q = mCp T To calculate, use the formula: “q” is heat, unit- J or cal “m” is mass, unit- g “T” = change in temperature, (T = Tf -Ti ) unit- oC “Cp”or “C”= Specific Heat Capacity units: J/(g oC) or cal/(g oC) Same eq’n, different look! q = m · Cp · T Cp = q m · T T = q m · Cp m= q Cp · T (T = Tf -Ti ) Example Problems 1. It takes 24.3 calories to heat 15.4 g of a metal from 22 ºC to 33ºC. What is the specific heat of the metal? given: q = 24.3 cal T = Tf -Ti =33 – 22 = 11ºC m = 15.4 g Cp = ?? q = m Cp T q (24.3 cal) Cp = = m T (15.4 g)(11 ºC) = 0.14 cal/(g oC) Chapter 2 Section 1 Energy Energy and Change, continued Endothermic and Exothermic Processes, continued • Energy can be absorbed by the surroundings or released to the surroundings, but it cannot be created or destroyed. • The law of conservation of energy states that during any physical or chemical change, the total quantity of energy remains constant. • In other words, energy cannot be destroyed or created. Chapter 2 Visual Concepts Law of Conservation of Energy Demo: Burning Water Predict why the water appears to have gone on fire. Does water burn? What liquids do you know burn? Of the liquids named above, which liquids are less dense than water? When fighting a fire created by gasoline burning, is it wise to try to get the fire out with water from a fire hose? Why not? What should be used instead? Chapter 2 Section 2 Studying Matter and Energy Objectives • Describe how chemists use the scientific method. • Explain the purpose of controlling the conditions of an experiment. • Explain the difference between a hypothesis, a theory, and a law. Chapter 2 Section 2 Studying Matter and Energy The Scientific Method • The scientific method is a series of steps followed to solve problems, including • collecting data (asking questions) • formulating a hypothesis • testing the hypothesis • stating conclusions • A scientist chooses which set of steps to use depending on the nature of the investigation. Chapter 2 Visual Concepts Scientific Method Chapter 2 Scientific Section 2 Studying Matter and Energy Method Chapter 2 Visual Concepts Comparing Theories and Laws Chapter 2 Section 2 Studying Matter and Energy Scientific Explanations, continued Theories and Laws Have Different Purposes, continued • For example, the law of conservation of mass states that the products of a chemical reaction have the same mass as the reactants have. • This law does not explain why matter in chemical reactions behaves this way; the law simply describes this behavior. • Keep in mind that a hypothesis predicts an event, a theory explains it, and a law describes it. Chapter 2 Visual Concepts Models Test Prep: In order to advance to the level of a theory, a hypothesis should be 1. 2. 3. 4. obviously accepted by most people. a fully functional experiment. in alignment with past theories. repeatedly confirmed by experimentation. Matter is made of atoms that have positive centers of neutrons and protons surrounded by a cloud of negatively charged electrons. This statement is 1. 2. 3. 4. a theory. a hypothesis. an inference. an observation. Chapter 2 Section 3 Measurements and Calculations in Chemistry Objectives • Distinguish between accuracy and precision in measurements. • Determine the number of significant figures in a measurement, and apply rules for significant figures in calculations. • Calculate changes in energy using the equation for specific heat, and round the results to the correct number of significant figures. Uncertainty in Measurement 1. Accuracy, Precision, Error: a. b. c. d. e. 2. Accuracy: measure of how close the measurement comes to the true value Precision: how close a repeated measurement is to one another correct value Accepted Value: ______ ____ based on reliable resources Experimental Value: value measured _________ in the lab acceptedvalue - _____ exp’t value Error = _______ Significant Figures in Measurement: a. b. c. d. Sig. fig.: all digits that are known plus one estimated ________ digit Addition/Subtraction- round to the least decimal ______ place Multiplication/Division- round to the least _______ sig. fig. the very end Round off to the correct sig fig at __________. Chapter 2 Visual Concepts Accuracy and Precision Chapter 2 Visual Concepts Significant Figures Significant Figures Nonzero digits are always significant 46.3ml 3 sig fig 6,295g 4 sig fig Zeros between nonzero digits are significant 40.7L 3 sig fig 87,008 km 5 sig fig Zeros in front of nonzero digits are not significant 0.0009785 m 4 sig fig 0.0009 kg 1 sig fig Significant Figures cont’d Zeros both at the end of a number and to the right of a decimal point are significant 85.00g 4 sig fig 9.004891000 10 sig fig Zeros both at the end of a number but to the left of a decimal may not be significant IF, a zero has not been measured or estimated, it is not significant 2,000 ml 1 sig fig IF, a decimal point is placed after zero, it indicates that the zeros are significant 2,000. ml 4 sig fig Significant Figure Calculation In addition and subtraction of numbers, the result can be no more certain than the least certain number in the calculation. Answer can NOT have more digits to the right of the decimal point than the measurement with the SMALLEST number of digits. 3.95+2.598+213.5984 = 220.1464 --> 220.15 Significant Figures Calculation In multiplication and division, the answer can NOT have more significant figures than there are in the measurement with the smallest number of significant figures. If a sequence of calculation is involved, do not round until the end 12.257 (5sigfig) X 1.162 = 14.2426234 14.24 (4 sigfig) (4 sigfig) Chapter 2.1 Section Review What is energy? State the law of conservation of energy Energy is the capacity to do some type of work Total quantity of energy remains constant in any physical or chemical change. Energy can not be created or destroyed How does heat different from temperature? Temperature = measure of kinetic energy of the particles in an object Heat = energy that is transferred between two objects because of a difference in their temperature What is a system? A system consists of all the components that are being studied at a given time Convert between following Kelvin temperatures to celsius temperature 273K = 0 °C 1200K = 927 °C 0K = -273 °C 100K = -173 °C Is breaking an egg an example of a physical or chemical change? Is cooking an egg an example of physical or chemical change? Chemical change, chemical properties of the egg are changed by the transfer of energy as heat What happens in terms of the transfer of energy as heat when you hold a snowball in your hands? Physical change, chemical composition of egg remains the same Energy is transferred as heat from the hand, which is at a higher temperature, to the snowball, which is at a lower temprature Why is it impossible to have a temprature value below 0K? Reducing kinetic energy of particle to zero is impossible If energy is transferred to a substance as heat, will the temperature of the substance always increase? The temperature of the substance will not increase if it is undergoing a change of state Chapter 2.3 Section Review Perform the following calculations, and express the answers in correct number of sig.figs. 0.8102 m x 3.44m = 2.79 m2 94.20g/3.16722 mL = 29.74 g/mL 32.89g + 14.21 g = 47.10 g 34.09L – 1.230 L = 32.86 L Calculate the specific heat of a substance when 63J of energy are transferred as heat to an 8.0g sample to raise its temperature from 314K to 340K. Givens m= 8.0g q= 63 J ΔT= Tf – Ti = 340K – 314K = 26K Equation q= mCpΔT Cp = q/ (m ΔT) Plug in the equation Cp = 63J / ( (8.0g )(26K)) = 0.30 J./ gK Express the following in the proper number of sig.figs. 129g/29.2mL = 4.42 g/mL (1.551 mm)(3.260mm)(4.9001 mm) = 24.78 mm3 35000kJ/0.250s = 1.4 x 10^5 kJ/s A clock gains 0.020s/min. How many seconds will the clock gain in exactly 6 months, assuming 30 days are in each months? Express in scientific notation. If you measure the mass of a liquid as 11.50g and its volume as 9.03mL, how many significant figures should its density value have? Explain the reason for your answer. Density = mass/volume = 11.50g / 9.03mL (4 sigfig) (3 sigfig) therefore, should only have 3 sig figs. Chapter 2 Section 3 Measurements and Calculations in Chemistry Determining the Number of Significant Figures Sample Problem A A student heats 23.62 g of a solid and observes that its temperature increases from 21.6°C to 36.79°C. Calculate the temperature increase per gram of solid. Chapter 2 Section 3 Measurements and Calculations in Chemistry Determining the Number of Significant Figures Sample Problem A Solution Calculate the increase in temperature by subtracting the initial temperature (21.6°C) from the final temperature (36.79°C). temperature increase = final temperature initial temperature 36.79°C 21.6°C = 15.19°C = 15.2°C Chapter 2 Section 3 Measurements and Calculations in Chemistry Determining the Number of Significant Figures Sample Problem A Solution, continued Calculate the temperature increase per gram of solid by dividing the temperature increase by the mass of the solid (23.62 g). temperature increase temperature increase gram sample mass 15.2°C 0.644 °Cg 23.62 g The answer is rounded to three significant figures. Chapter 2 Section 3 Measurements and Calculations in Chemistry Scientific Notation, continued Scientific Notation with Significant Figures 1. Use scientific notation to eliminate all place-holding zeros. 2. Move the decimal in an answer so that only one digit is to the left, and change the exponent accordingly. The final value must contain the correct number of significant figures. Chapter 2 Standardized Test Preparation Understanding Concepts 1. Which of the following determines the temperature of a substance? A. charge on ions B. color C. motion of particles D. total mass of material Chapter 2 Standardized Test Preparation Understanding Concepts 1. Which of the following determines the temperature of a substance? A. charge on ions B. color C. motion of particles D. total mass of material Chapter 2 Standardized Test Preparation Understanding Concepts 2. Which of these processes is an endothermic physical change? F. an explosion G. melting of butter H. condensation of a gas I. formation of a solid when two liquids are mixed Chapter 2 Standardized Test Preparation Understanding Concepts 2. Which of these processes is an endothermic physical change? F. an explosion G. melting of butter H. condensation of a gas I. formation of a solid when two liquids are mixed Chapter 2 Standardized Test Preparation Understanding Concepts 3. Which of the following definitely indicates an error in an experiment? A. hypothesis not supported B. results contradict a theory C. unexpected results D. violation of a scientific law Chapter 2 Standardized Test Preparation Understanding Concepts 3. Which of the following definitely indicates an error in an experiment? A. hypothesis not supported B. results contradict a theory C. unexpected results D. violation of a scientific law Chapter 2 Standardized Test Preparation Understanding Concepts 4. Every chemical change involves F. the formation of a different substance. G. the vaporization of a liquid. H. separation of states of matter. I. the release of energy. Chapter 2 Standardized Test Preparation Understanding Concepts 4. Every chemical change involves F. the formation of a different substance. G. the vaporization of a liquid. H. separation of states of matter. I. the release of energy. Chapter 2 Standardized Test Preparation Understanding Concepts 5. Use the concept of specific heat to analyze the following observation: two pieces of metal with exactly the same mass are placed on a surface in bright sunlight. The temperature of the first block increases by 3°C while the temperature of the second increases by 8°C. Chapter 2 Standardized Test Preparation Understanding Concepts 5. Use the concept of specific heat to analyze the following observation: two pieces of metal with exactly the same mass are placed on a surface in bright sunlight. The temperature of the first block increases by 3°C while the temperature of the second increases by 8°C. Answer: Because the temperatures of the objects differ under the same conditions, they must have different specific heats, so they are made of different metals. Chapter 2 Standardized Test Preparation Understanding Concepts 6. Describe the scientific method. Chapter 2 Standardized Test Preparation Understanding Concepts 6. Describe the scientific method. Answer: The scientific method is a series of steps followed to solve problems, including collecting data, formulating a hypothesis, testing a hypothesis, and stating conclusions. Chapter 2 Standardized Test Preparation Interpreting Graphics Use the graph below to answer questions 9–12. Chapter 2 Standardized Test Preparation Interpreting Graphics 9. What is happening during the portion of the graph labeled Heat of Vaporization, in which temperature does not change? A. No energy is added to the water. B. Added energy causes water molecules to move closer together. C. Added energy causes the water molecules to move farther apart. D. Added energy causes the water molecules to change from the solid state to the gas state. Chapter 2 Standardized Test Preparation Interpreting Graphics 9. What is happening during the portion of the graph labeled Heat of Vaporization, in which temperature does not change? A. No energy is added to the water. B. Added energy causes water molecules to move closer together. C. Added energy causes the water molecules to move farther apart. D. Added energy causes the water molecules to change from the solid state to the gas state. Chapter 2 Standardized Test Preparation Interpreting Graphics 10. For a given mass of water, which of these processes requires the greatest addition of energy for a 1°C temperature change F. heating a gas G. heating a solid H. heating a liquid I. changing a solid to a liquid Chapter 2 Standardized Test Preparation Interpreting Graphics 10. For a given mass of water, which of these processes requires the greatest addition of energy for a 1°C temperature change F. heating a gas G. heating a solid H. heating a liquid I. changing a solid to a liquid Chapter 2 Standardized Test Preparation Interpreting Graphics 11. How does the temperature change between the beginning of vaporization and the end of vaporization of water? A. temperature decreases slowly B. temperature does not change C. temperature increases slowly D. temperature increases rapidly Chapter 2 Standardized Test Preparation Interpreting Graphics 11. How does the temperature change between the beginning of vaporization and the end of vaporization of water? A. temperature decreases slowly B. temperature does not change C. temperature increases slowly D. temperature increases rapidly Chapter 2 Standardized Test Preparation Interpreting Graphics 12. On what portion of this graph are water molecules separated by the greatest distance? Chapter 2 Standardized Test Preparation Interpreting Graphics 12. On what portion of this graph are water molecules separated by the greatest distance? Answer: The right side of the graph, which shows the conditions of water in the gas phase.