Energy & States of Matter – Part 2 The Nature of Energy Energy - The ability to do work or produce heat. Two types: 1. Potential energy – energy due to position or composition (i.e. energy stored in chemicals). PE = mgh Examples include water behind a dam or energy stored in chemical bonds. 2. Kinetic energy – energy due to motion. KE = ½mv2 Examples include water flowing downhill over a turbine or gasoline exploding. 10-2 The Nature of Energy Law of Conservation of Energy – Energy can be converted from one form to another but can neither be created nor destroyed. 10-3 Temperature and Heat Temperature - Measure of the random motions (average kinetic energy) of the components of a substance. Heat – Flow of energy due to a temperature difference. Remember: All particles are in motion. As the temperature increases, the thermal energy or vigor of their motion increases. Heat is the transfer of this thermal energy from one object to another. 10-4 Figure 10.2: Equal masses of hot and cold water. 10-5 Figure 10.3: H2O molecules in hot and cold water. 10-6 Figure 10.4: H2O molecules in same temperature water. 10-7 T T final hot T initial 2 cold initial 90 C 10 C 2 50 C Change in temperature (hot) = Tf – Ti = Thot = 50. C – 90. C = -40. C Change in temperature (cold) = Tf – Ti = Tcold = 50. C – 10. C = 40. C T =Tf – Ti In science we use the Greek letter Delta ( ) to mean “change in.” It is ALWAYS the final value minus the initial value. Exothermic and Endothermic Processes The universe is divided into two halves: the system and the surroundings. The system is the part we are concerned with. We define its boundaries. The surroundings are the rest. Every reaction has an energy change associated with it. Energy is stored in bonds between atoms. 10-9 Exothermic reactions release energy to the surroundings Energy exits the system. Endothermic reactions absorb energy from the surroundings. Energy Examples: enters the system. A match feels hot because energy is exiting the system (the match) and entering the surroundings (your skin, for example). An ice cube feels cold for the same reasons, but energy flows in the opposite directions. 10-10 Thermodynamics Thermodynamic quantities always consist of two parts: A number giving the magnitude of the change. A sign indicating the direction of the flow (from the system’s point of view). For an endothermic process, gaining energy). For an exothermic process, losing energy). 10-11 E >0 (the system is E <0 (the system is Measuring Energy Changes Different materials respond differently to being heated. Units are needed to explore differences: calorie (cal) – The amount of energy (heat) required to raise the temperature of one gram of water by one Celsius degree. joule (J) = SI unit; 1 calorie = 4.184 joules FYI:In chemistry calories are written with a small “c”; calories on food labels are 1000 of these (or one kilocalorie). We distinguish these with a capital “C” 10-12 Measuring Energy Changes Practice Conversions: 1) Express 34.8 calories of energy in units of joules. 2) Express 47.3 J of energy in units of cal. 10-13 Specific heat capacity (s) – The amount of energy required to change the temperature of one gram of a substance by one Celsius degree. Each substance has its own unique specific heat capacity (units are J/g C). Measuring Energy Changes The Specific Heat Capacities of Some Common Substances Substance Specific Heat (J/g C) Water (l) 4.184 Water (s) 2.03 Water (g) 2.0 Aluminum (s) 0.89 Iron (s) 0.45 Mercury (l) 0.14 Gold 0.13 10-15 Measuring Energy Changes We need the following equation to calculate energy: Q = s x m x T Where: Q = energy (heat) required s = specific heat capacity m = mass of the sample (in grams) T = Change in temperature (in C) This equation always applies when a substance is being heated (or cooled) and no change of physical state occurs. 10-16 Measuring Energy Changes: Practice Problems REMEMBER T = Change in temperature (in C) = Tfinal - Tinitial 1) A 2.6 –g sample of a metal requires 15.6 J of Energy to change its temperature from 21 C to 34 C. Use specific heat values from your notes to identify this metal. 2) A sample of gold requires 3.1 J of energy to change its temperature from 19 C to 27 C. What is the mass of this sample of gold? 3) Calculate the amount of energy required (in calories) to heat 145-g of water from 22.3 C to 75.0 C. 10-17 Practice Problems 1. If it takes 526J of energy to warm 7.40g of water by 17oC, how much energy would be needed to warm 7.40 g of water by 55oC? 2. If 72.4 kJ of heat is applied to a 952 g block of metal, the temperature increases by 10.7oC. Calculate the specific heat capacity of the metal in J/goC. Energy Calculations Use Q=sm∆T ONLY when there is a temperature change. If no temperature change occurs – only a phase change (i.e. solid to liquid, etc. . .) then use the formula Q = m x Hf OR Q = m x Hv m= mass Hf = Heat of fusion (melting or freezing) = 334 J/g Hv = Heat of vaporization (evaporating or condensing) = 2260 J/g Practice How much energy is required to melt 357g of ice to liquid water? 2. How much energy will be released when 780g of water vapor is condensed to liquid water? 3. How much energy will be required to melt 255g of -5.0˚C, then vaporize it and heat the water vapor to 125˚C? 1.
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