1/6/2016 Chapter 9 Section 3 Review: States of Matter Solid Liquid Gas Plasma Typically as the temperature increases the matter changes states. Temperature 1 1/6/2016 Review: Heat and Work Work is the change in Kinetic Energy. Total energy of a system is always conserved in a closed system with no outside forces. Fd = W W = DKE DPE + DKE + DE = 0 ; conserved system W = Q (if there are no outside forces) Q =m cp DT Definitions: Phase Changes Heat, represented by the variable Q, is the transfer in thermal energy which is measured in Joules. Heat always flows from hot to cold. Thermal Energy – the combined potential and kinetic energy of the molecules in a substance Phase changes involve potential energy between particles. There is NO temperature change while a substance is changing phases Latent heat is the energy transferred as heat during a phase change; either LF or LV 2 1/6/2016 Definitions: Phase Changes Heat of fusion, LF, is the energy required to melt a substance, goes into rearranging the molecules. Heat of vaporization, LV, is the energy required to vaporize a substance, mostly goes into separating the molecules. Specific heat capacity (cp) is the amount of energy it takes to raise 1 kg of a substance 1° C. Specific Heat If heat is added into a system the temperature will rise. What happens as heat is removed? If you know the heat, mass, and the temperature change what can you calculate? Q = m cp DT cp = specific heat capacity of a material The larger the specific heat the more energy is needed to change the substance temperature. 3 1/6/2016 Specific Heat Equations Q = mcp∆T Qf = mLf Qv = mLv Q = heat transferred (gained or lost) m = mass of substance cp = specific heat of substance ∆T = temperature change (Tf – Ti) Lf = Heat of fusion = Lf Lv = Heat of vaporization = Lv Example from Page 319 How much heat is gained by raising the temperature of 10.0 grams of water from -25°C to 125°C? 4 1/6/2016 Example problem: How much heat is gained by raising the temperature of 10.0 grams of water from -25°C to 125°C? What phase is water in at -25°C? Solid (ICE) 3 What is the specific heat of water in this phase? 2.09 x 10 J/(kg°C) What temperature does the phase change occur? 0°C What is the heat of fusion value for water? 3.33 x 105 J/kg What phase is after the heat of fusion? Liquid (WATER) What is the specific heat of water in this new phase? 4.186 x 103 J/(kg°C) What temperature is the next phase change? 100°C What is the heat of vaporization for water? 2.26 x 106 J/kg What is the specific heat of water in this last phase? 2.01 x 103 J/(kg°C) QTOTAL = QA + QB + QC + QD + QE QA = Q-25°C to 0°C QB = QFusion QC = Q0°C to 100°C QD = QVaporization QE = Q100°C to 125°C =mcICEDT =mHFusion =mcWATERDT =mHVaporization =mcSTEAMDT 5 1/6/2016 Q = Q-25°C to 0°C + Qf + Q0°C to 100°C + Qv + Q100°C to 125°C Example 6 1/6/2016 Thermal Equilibrium When the objects in a system are at the same temperature the system is in THERMAL EQUILIBRIUM When the objects have different temperatures heat flows until thermal equilibrium is reached. 7 1/6/2016 Latent Heat Qf or Qv To have a ‘Change of Phase’ requires energy Latent heat is the energy required to change from one state to an other. The temperature of the substance DOES NOT change until the phase change is complete. Heat of Fusion – solid to liquid or the reverse– Lf Heat of Vaporization – liquid to gas or the reverse– Lv Typical values in the student textbook. To find the specific heat capacities: Use your textbook in Chapter 9 section 3 Specific Heat Capacities Table Pg 316 Latent Heat of Fusion and Vaporization Table Pg 320 Appendix F Pg R41 (Specific Heat Capacities) Appendix F Pg R42 (latent heat capacities at STP) Peer reviewed (NSTA, ASME, ACS, AIP, & etc.) websites 8
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