INTRO TO THERMOCHEMISTRY Chemical reactions involve changes in energy – – These energy changes can be in the form of heat – Breaking bonds requires energy Forming bonds releases energy Heat is the flow of chemical energy The study of the changes in energy in chemical reactions is called thermochemistry. The energy involved in chemistry is real and generally a measurable value WHAT IS HEAT? Hot & cold, are automatically associated with the words heat and temperature – Heat & temp are NOT synonyms – The temperature of a substance is directly related to the energy of its particles, specifically its: The Kinetic Energy defines the temperature – Particles vibrating fast = hot – Particles vibrating slow = cold Vibrational energy is transferred from one particle to the next – One particle collides with the next particle and so on; and so on – down the line An Ice Cold Spoon A Hot Spoon Thermal energy is the total energy of all the particles that make up a substance Kinetic energy from vibration of particles – Potential energy from molecular attraction (within or between the particles) – Thermal energy is dependent upon the amount or mass of material present (KE =½mv2) 2 Hot Spoons Thermal energy is also related to the type of material Different type of materials May have the same temp, same mass, but different connectivity – Affected by the potential energy or the intermolecular forces – So it is possible to be at same temp (same KE) but have very different thermal energies The different abilities to hold onto or release energy is referred to as the substance’s heat capacity Thermal energy can be transferred from object to object through direct contact – Molecules collide, transferring energy from molecule to molecule DEFINITION THE FLOW OF THERMAL ENERGY FROM SOMETHING WITH A HIGHER TEMP TO SOMETHING WITH A LOWER TEMP UNITS MEASURED IN JOULES OR CALORIES THROUGH WATER OR AIR = CONVECTION TYPES THROUGH SOLIDS = CONDUCTION TRANSFERRED ENERGY BY COLLISION WITH PHOTON = RADIANT ENERGY HEAT CAPACITY The measure of how well a material absorbs or releases heat energy is its heat capacity – It can be thought of as a reservoir to hold heat, how much it holds before it overflows is its capacity Heat capacity is a physical property unique to a particular material – Water takes 1 calorie of energy to raise temp 1 °C – Steel takes only 0.1 calorie of energy to raise temp 1 °C SPECIFIC HEAT CAPACITY The amount of energy it takes to raise the temp of a standard amount of an object 1°C is that object’s specific heat capacity (Cp) – The standard amount =1 gram Specific heats can be listed on data tables Smaller the specific heat the less energy it takes the substance to feel hot – Larger the specific heat the more energy it takes to heat a substance up (bigger the heat reservoir) – SUBSTANCE SPECIFIC HEAT CAPACITY, CP WATER, H2O 4.18J/g°C OR 1cal/g°C ALUMINUM, Al .992J/g°C OR .237cal/g°C TABLE SALT, NaCl .865 J/g°C OR .207cal/g°C SILVER, Ag .235 J/g°C OR .056cal/g°C MERCURY, Hg .139 J/g°C OR .033cal/g°C SPECIFIC HEAT CAPACITY Specific heats and heat capacities work for gains in heat and in losses in heat Smaller the specific heat the less time it takes the substance to cool off – Larger the specific heat the longer time it takes the substance to cool off – Specific heat capacity values are used to calculate changes in energy for chemical reactions – It’s important for chemists to know how much energy is needed or produced in chemical reactions CHEMICAL REACTIONS There are 2 types of chemical reactions – Exothermic reactions reactions in which heat energy is a product – Endothermic reactions reactions in which heat energy is a reactant Exothermic reactions typically feel warm as the reaction proceeds – Gives off heat energy, sometimes quite allot Endothermic reactions typically feel cooler the longer the reaction proceeds – Absorbs heat energy, sometimes enough to get very cold Exothermic reaction C3H8 + 5O2 3CO2 + 4H2O + 2043kJ – To a cold camper, the important product here is the heat energy Endothermic reaction NH4NO3+H2O+ 752kJ NH4OH+HNO3 – Similar system as what is found in cold packs CHANGE IN HEAT ENERGY (ENTHALPY) The energy used or produced in a chemical reaction is called the enthalpy of the reaction – Burning a 15 gram piece of paper produces a particular amount of heat energy or a particular amount of enthalpy Enthalpy is a value that also contains a component of direction (energy in or energy out) – Heat gained is the out-of direction; ie exo CHANGE IN HEAT ENERGY (ENTHALPY) The energy used or produced in a chem rxn is called the enthalpy of the reaction – Burning a 15 gram piece of paper produces a particular amount of heat energy or a particular amount of enthalpy Enthalpy is a value that also contains a component of direction (energy in or energy out) – Heat gained is the out-of direction; ie exo – Heat lost is the into direction; ie endo- HEAT HEAT HEAT HEAT CHANGE IN ENTHALPY Most common version of enthalpy is when we have a change in enthalpy (H) The enthalpy absorbed or gained (changed) in a reaction is dependent on the amount of material reacting Amount is usually in the form of moles – We can use the coefficient ratios to energy ratios to calculate how much energy a reaction used or produced – USING H IN CALCULATIONS Chemical reaction equations are very powerful tools. – Given a reaction equation with an energy value, We can calculate the amount of energy produced or used for any given amount of reactants. (For Example) How much heat will be released if 1.0g of (H2O2) decomposes in a bombardier beetle to produce a defensive spray of steam 2H2O2 2H2O + O2 Hº = -190kJ 2H2O2 2H2O + O2 Hº = -190kJ Analyze: we know that if we had 2 mols of H2O2 decomposing we would produce 190kJ of heat, but how much would it be if only 1.0 g of H2O2 Therefore: we have to convert our given moles of H2O2 1.0g H2O2 1molH2O2 34gH2O2 Molar mass 1.0 g of H2O2 to = .02941 mol 2H2O2 2H2O + O2 Hº = -190kJ Therefore: with 2 moles of H2O2 we would produce 190 kJ of energy, but we don’t have 2 moles we only have .02941 mols of H2O2, so how much energy would the bug produce? -190kJ .02941 mol = -2.8kJ 2molH2O2 Reaction equation Example #2 How much heat will be released when 4.77 g of ethanol (C2H5OH) react with excess O2 according to the following equation: C2H5OH + 3O2 2CO2 + 3H2O Hº=-1366.7kJ analyze: we know that if we had 1 mol of ethanol(assuming coefficient of 1 in rxn equation) burning we would produce 1366.7kJ of heat, but how much would it be if only we only had 4.77 g of ethanol? C2H5OH + 3O2 2CO2 + 3H2O Hº=-1366.7kJ 4.77g C2H5OH 1mol C2H5OH 46g C2H5OH = .1037 mol Therefore: with 1 mole of C2H5OH we would produce 1366.7 kJ of energy, but we don’t have 1 mole we only have .1037 mols of C2H5OH, so how much energy would the reaction produce? .1037 mol -1366.7kJ 1mol C2H5OH = -142 kJ We can also track energy changes due to temp changes, using H=mCT: H = MASS SPECIFIC HEAT FINAL TEMP – INITIAL TEMP If the temp difference is positive – The reaction is exothermic because the final temp is greater than the initial temp – So the enthalpy is positive if the temp change is negative – makes the enthalpy negative – the reaction absorbed heat into the system, so it’s endothermic If you drink 4 glasses of ice water at 0°C, how much heat energy is transferred as this water is brought to body temperature? Each glass contains 250 g of water & body temperature is 37°C. mass of 4 glasses of water: – m = 4 x 250g = 1000g H2O change in water temp: – Tf – Ti = 37°C - 0°C specific heat of water: – C = 4.18 J/g•C° (from previous slide) H=mCT H=(1000g)(4.18J/g•°C)(37°C) H= 160,000J Enthalpy is dependent on the conditions of the reaction – It’s important to have a standard set of conditions – This allow us to compare the affect of temperatures, pressures, etc., has on different substances Chemists have defined a standard set of conditions – Standard Temperature = 298K or 25°C – Standard Pressure = 1atm or 760mmHg Enthalpy produced in a reaction under standard conditions is the standard enthalpy (H°) Standard enthalpies can be found on tables of data measured as standard enthalpies of formations Standard enthalpies of formations are measured values for the energy to form chemical compounds (Hf°) – H2 gas & O2 gas can be ignited to produce H2O and a bunch of energy – The amount of energy produced by the reaction is 285kJ for every mol of water produced H2 + ½02 H2O Hf°=-285.8kJ/mol STANDARD ENTHALPIES OF FORMATION SYMBOL FORMULAS Hf°kJ/mol AlCl3(s) Al + 3/2Cl2 AlCl3 -705.6 Al2O3(s) 2Al + 3/2O2 Al2O3 -1676.0 CO2(g) C + O2 CO2 -393.5 H2O(g) H2 + 1/2O2 H2O -241.8 C3H8(g) 3C + 4H2 C3H8 -104.7 CALORIMETRY Calorimetry is the process of measuring heat energy – Measured using a device called a calorimeter – Uses the heat absorbed by H2O to measure the heat given off by a reaction or an object The amount of heat soaked up by the water is equal to the amount of heat released by the reaction Hsys is the system or what is taking place in the main chamber (reaction etc.) And Hsur is the surroundings which is generally water. HSYS=-HSUR A COFFEE CUP CALORIMETER USED FOR A REACTION IN WATER, OR JUST A TRANSFER OF HEAT. A BOMB CALORIMETER USED WHEN TRYING TO FIND THE AMOUNT OF HEAT PRODUCED BY BURNING SOMETHING. CALORIMETRY With calorimetry we use the sign of what happens to the water – When the water loses heat into the system it obtains a (-) sign HSYS + SIGN MEANS HEAT WAS ABSORBED BY THE REACTION = -HSUR - SIGN MEANS HEAT WAS RELEASED BY WATER HEAT HEAT HEAT HEAT CALORIMETRY You calculate the amount of heat absorbed by the water (using H= mCT) Which leads to the amount of heat given off by the reaction – you know the mass of the water (by weighing it) – you know the specific heat for water (found on a table) – and you can measure the change in the temp of water (using a thermometer) A block of Al that weighs 72.0g is heated to 100°C is dropped in a calorimeter containing 120. mL of water at 16.6°C. the H2O’s temp rises to 27°C. - mass of Al = 72g Tinitial of Al = 100°C Tfinal of Al = 27°C CAl = .992J/g°C (from table) H = 72g .992J/g°C H = -5214J HSYS 27°C-100°C We can do the same calc with the water information: – Mass of H2O= 120g – Tinitial of H2O= 16.6°C HSUR – Tfinal of H2O = 27°C – CH2O= 4.18J/g°C (from table) H = 120g 4.18J/g°C H = 5216J 27°C-16.6°C Equal but opposite, means that since the Al decreased in temperature, it released heat causing the H2O to increase in temperature. Thermochemistry System - the part of the universe that is being studied Surroundings - the rest of the universe Boundary - the separation between the the system and surroundings Systems may be: (1) open; (2) closed; or (3) isolated (adiabatic) Thermochemistry Laws of Thermodynamics Zero Law - Two objects in contact will have the same temperature 1st Law - The energy of the universe is constant 2nd Law - The entropy of the universe is expanding 3rd Law - The entropy of a perfect crystalline substance is 0 at absolute zero (0 K) The First Law of Thermo dynamics The total energy and mass of a system plus its surroundings remains constant. ∆E = q + w Energy is measured in units of: Calorie (cal) or Joule* (j) where 1 calorie = 4.184 joules *The SI unit is the Joule Heat of reaction is measured in a calorimeter. A bomb calorimeter constant volume E (internal energy) ∆E An ordinary calorimeter constant pressure H (enthalpy) ∆H The enthalpy change of a reaction (∆H): the heat absorbed or released during a reaction at constant pressure. A reaction that releases heat is exothermic, ∆H is negative. A reaction that absorbs heat is endothermic, ∆H is positive. The first law does not predict the direction of a process! The Second Law of Thermodynamics The Second Law of Thermodynamics Chemical and physical changes will take place in a direction to produce maximum disorder in the system + surroundings. Order Disorder or randomness Entropy (S) is a quantitative measure of disorder. The more positive is the value of S, the greater is the disorder. (∆Ssystem + ∆Ssurroundings) > 0 for a spontaneous process (∆Ssystem + ∆Ssurroundings) > 0 for a spontaneous process Hard to measure ∆Ssystem + surroundings Free Energy (G) ∆G° = ∆H° - T∆S° ∆G°: the change in free energy of a system ∆H°: the change in enthalpy of the system ∆S°: the change in entropy of the system T: absolute temperature (in Kelvin units, K, oC+273) For a spontaneous process, ∆G < 0. More free energy (great work capacity) Spontaneous change ∆G < 0 Less free energy (less work capacity) battery AB ∆G = GB - GA (1) ∆G < 0: exothermic (exergonic) (there is a net loss of energy). The “A to B” reaction is favorable and spontaneous. (2) ∆G > 0: endothermic (endergonic) (there is a net gain of energy) The “A to B” reaction is unfavorable and not spontaneous. The battery is dead! (3) ∆G = 0: the reaction is at equilibrium. ∆G tells us how far the system is from equilibrium AB ∆G = GB-GA A B ∆G << 0 ∆G < 0 ∆G = 0 ∆G > 0 The relationship of ∆G to Keq and the concentration of reactants and products A+BC+D R is the gas constant (1.987 cal/mol.degree). T is the absolute temperature (oK) P=1M, R=1M (standard condition) ∆Go = - RT ln Keq = - 2.303 RT log Keq ∆Go is the standard free energy change At the standard temperature of 298oK (25oC): ∆Go = -1.36 log Keq (1) Keq >1, then ∆Go < 0 (2) Keq< 1, then ∆Go > 0 (3) Keq= 1, then ∆Go = 0 At pH 7, [H+] is 10-7M, the symbol ∆Go´ is used. ∆Go´ = -1.36 log K´eq K´eq 10-5 10-4 10-3 10-2 10-1 1 10 102 103 104 ∆Go´ -------Kcal/mol 6.82 5.46 4.09 2.73 1.36 0 -1.36 -2.73 -4.09 -5.46 kJ/mol 28.53 22.84 17.11 11.42 5.69 0 -5.69 -11.42 -17.11 -22.84 ∆G = ∆Go + RT ln P R 1. ∆G is predictive . 2. ∆G depends on Keq, and the concentrations of P and R. Sometimes, ∆Go > 0, but if P/R is very small, then ∆G < 0. Summary: RP ∆H, ∆S and ∆G ∆G = ∆H - T∆S ∆G < 0, R P RP ∆G0 ∆G0 = -RTlnKeq ∆G = ∆Go Keq>1, ∆G0<0 + RT ln ∆G < 0, R P P R
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