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Q equations.notebook October 01, 2015 Just to review before we start… Topic: Calculating Energy Changes at Phase Changes (Hv and Hf) What is the melting point of this substance? The boiling point? Sep 239:51 AM Sep 239:51 AM It takes energy to heat stuff up! • for pure substance in single phase can calculate how much E needed using: Q = mC∆T > Q = energy in Joules > m = mass in grams > C = specific heat capacity ∆T = change in temperature = Tf Ti • on other hand, when something cools down, energy is released! Sep 239:51 AM So, how do we calculate the amount of energy required during a phase change? • HF = Heat of Fusion (Q = mHF) • HV = Heat of Vaporization (Q=mHV) • We use one of these two constants instead of specific heat and delta T Q = mC∆T Sep 239:54 AM Hf = Heat of Fusion • is amount energy required to change 1 gram of pure substance from solid to liquid at its MP (meaning you aren’t changing the temperature) • Is a physical constant – Check out Reference Table B, what is the heat of fusion for water? • The Equation Q = mHf Sep 239:51 AM Sep 239:51 AM 1 Q equations.notebook October 01, 2015 How much heat is absorbed when 10 grams of ice melts at 0 oC? • Heat absorbed = mass of substance x heat of fusion of substance • Q = mHf = (10 g)(334 J/g) = 3340 J • Where does this energy go? > Particles must overcome forces of attraction to move farther apart during phase change (s → l) Sep 239:55 AM HV = Heat of Vaporization • is the amount energy required to convert 1 gram of pure substance from liquid to gas at its BP (meaning you aren’t changing the temperature) Sep 239:51 AM How much energy does it take to vaporize 10 g of water? • Q = mHv • Q = (10 g)(2260 J/g) = 22600 J • Is a physical constant – Check out Reference Table B, what is the heat of vaporization for water? • The Equation Q = mHv Sep 239:51 AM Sep 239:51 AM It takes a lot more energy to go from liquid to gas than from solid to liquid. Why? H2O changing from liquid to gas requires 22,600J/g H2O changing from solid to liquid requires 3,340J/g * greater energy required to change from liquid to gas because particles are spreading farther apart! Sep 239:51 AM Heating curve of H 2O Sep 239:51 AM 2 Q equations.notebook October 01, 2015 3 equations for Q 1. Q = mC∆T Q = mC∆T • Temperature changed • Final 2. Q = mHf temperature • T↑ 3. Q = mHv • T↓ • Initial temperature • figure out which to use • depends on section of heating curve • Start temperature • look for hints in word problem • Ending temperature • From __ ˚C to __ ˚C • Water Sep 239:51 AM Sep 239:51 AM Q = mHf Q = mHv • Ice • Steam • Freezing • Boiling • Melting • Condensation • Occurs at 0°C (for H2O) • Occurs at 100°C (for H2O) • At constant temperature • At constant temperature Sep 239:51 AM Sep 239:51 AM heating rate = 150 J/min If the substance takes 4 minutes to melt, how much heat energy was used to melt it? 150J/min x 4min = 600J Sep 239:51 AM 3