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LaurenHill Chemistry 534 5. Energy and Enthalpy A. What is Energy? Energy is the capacity to do work. Although the definition may not seem to do justice to a poet's concept of energy, think of any of its forms, and it involves work. For instance, visible light does work on any material that absorbs it, causing molecules to vibrate and electrons to jump levels. Example Give another example of how a form of energy is a capacity to do work. Energy is neither created nor destroyed; it is merely transformed from one form to another. For example in moving a muscle, chemical energy is transformed into mechanical energy; if you move backwards, you can actually trace every little body action to the sun. How? B. Potential Energy and Enthalpy To understand the difference between two types of reactions (exothermic and endothermic), we need to explore a couple of other concepts. In addition to kinetic energy (vibrational, rotational and translational motion), molecules also have potential energy. Potential energy in a chemical context is energy due to composition. It is associated with the coulombic force within atoms and molecules (intramolecular bonds); with the attractions between different molecules (intermolecular bonds). In water for example, potential energy is associated with bonds between oxygen and the two hydrogen atoms in each molecule, and also with the oxygen atom of one molecule and one of the hydrogen atoms of another molecule. Intramolecular bonds H H O H H Intermolecular bonds O 25 II. Thermochemistry Example1 Show the intermolecular and intramolecular bonds in HCl. Example 2 a)Imagine two pieces of plasticine bonded together. If they represent a diatomic molecule, what kind of bond is represented? b)What holds the real pieces together? Example 3 How do bonds between protein molecules play a role in the cooking of egg white? ( see http://www.sumanasinc.com/webcontent/animations/content/proteinstructure.html ) Enthalpy Definition: H is the total heat content of a substance at constant pressure.1 C. Exothermic reactions If in a reaction molecule A becomes molecules B and C, and if molecule A has more energy that both B and C combined, then the excess energy will be released into the environment. The environment becomes hotter; we have an exothermic reaction: A Reactant Examples of exothermic reactions: B + C + energy products Condensation of water C + O2 CO2 + 250kJ Adding an alkali metal to water (2 Na + 2 H2O 2 NaOH + H2 + energy) All combustion reactions (fires) 1 Enthalpy is also defined as the internal energy of the system plus the product of pressure difference and volume(work). But if pressure is constant, then it is simply equal to its internal energy. 26 LaurenHill Chemistry 534 Example Think of everyday reactions which release heat (exothermic). On a graph, exothermic reactions are represented as follows: Energy reactants products Progress of reaction If we examine the graph more closely, we will notice that exothermic reactions have a negative change in enthalpy. A change in enthalpy, H, is defined as the enthalpy of products – heat of reactants: H = Hp - Hr What is that little hill labeled, Ae? Ae = activation energy. This is the energy that reactants must absorb in order to form products, even if the products will not need the energy to store within their bonds. So Ae = Hmaximum - Hreactants Example 1 Find H if the reactants have 120 kJ, and the products have 40 kJ of enthalpy. Example 2 If a reaction has a negative value for H, what will happen to the temperature of its environment? 27 II. Thermochemistry Example 3 When chlorine and gently heated sodium are placed in the same beaker there is an incredible amount of light and heat released as they react to form table salt, NaCl. Where does that energy come from? D. Endothermic Reactions If substance A must take energy away from the environment in order to form product D, then the reaction is said to be endothermic, and the victimized environment will feel colder after the reaction. H = (+) for endothermic reactions and their profile looks like the following: Examples of endothermic reactions: Melting of ice absorbs energy Dissolving ammonium nitrate in water (the essence of commercial cold packs) NH4 NO3(s) + energy NH4 NO3(aq) Example 1 Think of everyday reactions that take heat away from their environment. (endothermic) 28 LaurenHill Chemistry 534 Example 2 If a reaction has a positive value for H, what will happen to the temperature of its environment? Check out these next two pages for an analogy between physics and chemistry so that you gain a better understanding of potential energy. Potential Energy from Physics Point of View Energy Work is done against gravity to increase the height of the object. Ep = (mg)h Work = ( Fg )d After work is done against the force of gravity(Fg) to raise the object to a greater height, the energy is conserved as potential energy . If the box falls it will release the energy in the form of kinetic energy, which can do ”work “ on the floor, a spring, or whatever your fancy. 29 LaurenHill Chemistry 534 Potential Energy from the Chemistry Point of View but with Physics also in Mind I2(g) + energy = 2 I(g) I. Energy . I .. II Work is done against coulombic attraction to increase the distance between what were shared electrons(-) and the nucleus(+). Work = ( Fc )d Which becomes chemical potential energy When iodine atoms are sharing two electrons in the I2 molecule, the shared electrons are much closer to each other’s nucleus. The separation distance, d, is small, just like the height in the physics analogy. To break up the bond requires energy because you are separating the shared electrons as they become two separate atoms. “d” has increased and so has the potential energy. We have an endothermic reaction. In every form of chem. potential energy (intraatomic, intramolecular or intermolecular, a similar idea is at work.) Exercises (the last few exercises are from old exams) 1. The Romantic poet William Blake defined energy as eternal delight. But from a more practical perspective, just what is energy? 2. The energy associated with physical or chemical changes may appear in different forms such as heat or electricity. List at least two other forms of energy. 3. A 5.0 gram mass is moving at 1000 m/s. Calculate its kinetic energy without forgetting to convert mass to kilograms. 4. What is the difference between potential and kinetic energy? 5. Give 3 examples of potential energy. 29 II. Thermochemistry 6. The Law of Conservation of Energy states that energy can be transformed from one form to the other, yet it cannot be created or destroyed. What other Law important to balancing equations does this remind you of? 7. a. A solar cell absorbs light. Into what form of energy is light transformed? b. If the electricity produced is allowed to flow into a toaster, what two forms of energy is electricity turned into? 8. a. Discuss the three types of kinetic energy associated with molecules. b. Describe what happens to the molecules or atoms of a solid as its temperature rises to its melting point. c. Repeat (b) for the condensation of water. 9. a. Why do molecules have potential energy? b. What is the difference between intermolecular and intramolecular bonds? c. List 3 everyday examples where the potential energy of a chemical substance is released. 10. What happens to the energy of molecules that react chemically? 11. What is enthalpy? 12. What is an endothermic reaction? Exothermic? 13. Record and complete the following: H of reactants (kJ) H of products (kJ) 44 288 44 555 222 33 73 88 41 14. Enthalpy Change, (kJ) Exo or Endo? -55 444 255 222 -88 55 38 a. Draw an energy-versus-progress-of-reaction profile, using numbers from the above chart's first row. b. Repeat for second-row data. 30 LaurenHill Chemistry 534 15. A student dissolved 1 g of each of four substances in water in a laboratory experiment. The following table illustrates the change in temperature after the solids dissolved. SUBSTANCES Tinitial Tfinal NH4Cl 23°C 19°C NaOH 23°C 60°C NaCl 23°C 23°C Drano 23°C 60°C Which of the above represent exothermic reactions? 16. Endothermic? Or Exothermic? 1. H2 O(g) H2 O(l) + e nergy 2. H2 + 1 O2 H 2 O 2 H = - 241.8 kJ 1 3. H2 SO4(l) + h eat H2(g) + S8(s) + 2 O2(g) 8 4. N2(g) + O2(g) 2 NO(g) H = + 180.8 kJ 5. C(s) + O2(g) CO2(g) + 394 kJ 17. A lighter has a reservoir containing a flammable gas under pressure. When the lighter is ignited, two things happen: o o gaseous butane escapes through an opening; friction from the flint creates heat and sparks The combustion of butane is exothermic. Associate the expressions on the right with the numbers on the energy diagram on the left. 31 II. Thermochemistry Energy Diagram Expressions E (kJ) } } a. The energy contained in butane when the lighter is opened b. The energy associated with the butane heated by the sparks c. The energy liberated by the combustion of butane d. The energy contained in the products formed by the combustion of butane (CO2(g) and H2O(g)). 3 1 4 2 5 Reaction Proceeds 18. Which of the following are endothermic changes? a. b. c. d. e. f. Melting ice A burning candle Dew forming on a lawn Moth balls undergoing sublimation Iron rusting Water decomposing by electrolysis 6. Hess' Law Hess' Law states that the enthalpy of a reaction is independent of whether the reaction occurs in one or several steps. This allows us to algebraically add equations and their accompanying H's to obtain the H for the desired or target equation. Keep the following rules in mind: Germain Henri Hess 1. If an equation is multiplied or divided by a number, that factor also applies to H. 2. If an equation is reversed, then the sign of H changes. 3. Remember: there are different enthalpy changes associated with different states of matter. Do not, for example interchange H2O(l) with H2O(s). 32 LaurenHill Chemistry 534 Example 1 Carbon disulfide is a very flammable solvent. It burns according to the following equation: CS2(l) + 3 O2(g) CO2(g) + 2 SO2(g) Calculate H for the above reaction using the following data: (1) C(s) + 2 S(s) CS2(l) (2) C(s) + O2(g) CO2(g) (3) S(s) + O2(g) SO2(g) H = 88 kJ H = -394 kJ H = -297 kJ 33 II. Thermochemistry Example 2 Given: Al2O3(s) + 1676 kJ 2 Al(s) + H2O(g) H2(g) + 1 O2(g) 2 3 O2(g) 2 H = + 242 kJ mol What is the energy change associated with the following reaction in terms of kJ ? mol Al Al2O3(s) + 3 H2(g) 2 Al(s) + 3 H2O(g) Example 3 Use the table from HW question 2 to find the heat of combustion for ethane (C2H6). 34 LaurenHill Chemistry 534 Exercises 1. Methane (CH4) burns in the presence of oxygen according to this balanced equation : CH4(g) + 2 O2(g) CO2(g) + 2 H2O(g) Below are several useful equations: H2(g) + 1/2 O2(g) H2O(g) + 242 kJ C(s) + O2(g) CO2(g) H = -394 kJ/mol C(s) + 2 H2(g) CH4(g) + 75 kJ What is the heat of combustion for 1 mole of methane? 2. The molar heat of reactions of various elements are listed below: Elements H2(g) + 1 O2(g) 2 1 S8(s) + O2(g) 8 1 H2(g) + S8(s) + 2O2(g) 8 1 C(s) + O2(g) 2 C(s) + O2(g) C(s) + 2 H2(g) 2 C(s) + 3 H2(g) 3 C(s) + 4 H2(g) H (kJ) Formula Name H2 O(g) water vapour -241.8 sulfur dioxide -296.9 H2 SO4(l) sulfuric acid -811.4 CO(g) carbon monoxide -110.5 CO2(g) CH4(g) carbon dioxide methane -393.5 - 74.8 C2 H6(g) C3 H8(g) ethane propane - 84.7 -103.8 SO2(g) 1 O2(g) CO(g) 2 a. Calculate H for CH4(g) + b. Calculate H for C3 H8(g) + 5 O2(g) CO2(g) + 4 H2 O(g) + 2 H 2(g) 35 II. Thermochemistry 3. Calculate the heat of combustion for ammonia, NH3(g). 12 NH3(g) + 21 O2(g) 8 HNO3(aq) Given: NH3(g) + 4. a. 1.25 O2(g) + 14 H2O(l) + 4 NO(g) NO(g) + 1.5 H2O(l) H = -293 kJ NO2(g) + (1/3) H2O(l) (2/3) HNO3(aq) + (1/3) NO(g) H = -45 kJ NO(g) + 0.5 O2(g) + 59 kJ NO2(g) Find the heat of reaction for the combustion of nitric oxide: 2 NO(g) + O2(g) 2 NO2(g) The following experimental data is available to you: b. 5. 0.5 N2(g) + 0.5 O2(g) 0.5 N2(g) + O2(g) NO2 (g) NO (g) + 93 kJ H = - 34 kJ If you had used the data from #3, could you have gotten the same answer in one step? How? Diborane, B2H6, is highly reactive and was once considered as a possible rocket fuel for the U.S. space program. Calculate H for the synthesis of diborane from its constituent elements: 2 B(s) + 3H2(g) 2 B(s) + 1.5 O2(g) B2H6(l) Reaction B2O3(s) H ( kJ ) -1273 B2H6(l) + 3 O2(g) B2O3(s) + 3 H2O(g) -2035 H2(g) + 0.5 O2(g) -286 H2O(g) H2O(l) H2O(l) -44 36 LaurenHill Chemistry 534 Estimating H From Bond Energies It takes energy to break old bonds but energy is released when new bonds are formed. If we could do the chemical accounting and sum up what’s invested and what the returns are, we could estimate the net result or the H for a reaction. Important reminder: kJ Energy invested to break bonds; Hbb = (+) Energy released when bonds are formed; Hbf = (-) 7. Hbb Example 1: Estimate the per mole offor the following reaction: H2 + Br2 2 HBr H Br H Br Br H Br H hydrogen bromide bromine hydrogen progress H Hbf Rxn progress Hbb Hbf H =HbbHbf Table of Bond Energies to consult: Average bond energies, kJ/mol: H—H 436 H—F 570 H—Cl 432 H—Br 366 H—I 298 C—C 347 C=C 619 C≡C 812 C—N 293 C=N 515 C≡N 891 C—H C—O C=O C≡O C—F C—Cl C—Br C—I N—H N—O N=O 414 335 745 1075 485 326 285 239 389 175 590 N—N N=N N≡N N—F N—Cl O—O O=O O—H F—F F—Cl 159 418 941 270 201 138 494 464 159 256 P—H P—Cl S—H Cl—Cl Br—Br Br—Cl I—I 318 326 339 243 193 218 151 37 II. Thermochemistry Example 2: Estimate the for the following reaction. Again, consult the bond energies table on the previous page: CH4 + 2 O2 CO2 + 2 H2O Lewis Structures Hbb Hbf H =HbbHbf Example 3 Show an energy- reaction profile (energy diagram) for an endothermic reaction in terms of Hbband Hbf 38 LaurenHill Chemistry 534 Exercises 1. Estimate H for each of the following using the given table of bond energies: a) 2H2 + O2 b) C2H6 + 3.5 O2 2 CO2 + 3 H2O c) 2 CH3OH + 3 O2 2 CO2 + 4 H2O Average bond energies, kJ/mol: H—H 436 H—F 570 H—Cl 432 H—Br 366 H—I 298 C—C 347 C=C 619 C≡C 812 C—N 293 C=N 515 C≡N 891 2. 2 H2O C—H C—O C=O C≡O C—F C—Cl C—Br C—I N—H N—O N=O 414 335 745 1075 485 326 285 239 389 175 590 N—N N=N N≡N N—F N—Cl O—O O=O O—H F—F F—Cl 159 418 941 270 201 138 494 464 159 256 P—H P—Cl S—H Cl—Cl Br—Br Br—Cl I—I 318 326 339 243 193 218 151 a) Without consulting a table of bond energies, find the bond energy of H--Cl on a per mole basis if H2’s and Cl2’s bond energies are 436 kJ/mole and 243 kJ/mole, respectively, and the H for the following reaction is -185 kJ/mole of H2 H2 + Cl22 HCl b) Convert H2’s bond energy to kJ/g c) Show an energy- reaction profile (energy diagram) for H2 + Cl22HCl in terms of Hbband Hbf 3. Why is H---Cl’s bond energy greater than that of H--Br? Hint: 4. periodic trends. a) Explain why the first 3 steps of the salt-producing reaction are endothermic. b) Why are the last two steps are exothermic? c) Use algebra to show that the overall reaction is indeed Na(s) + ½ Cl2(g) NaCl(s). 39 II. Thermochemistry 8. Calorimetry and Molar Enthalpy The purpose of calorimetry is to use an instrument known as a calorimeter to determine the enthalpy of a substance undergoing chemical change. In a calorimeter known as a bomb calorimeter, it is the enthalpy of combustion that is measured. This is how the caloric content of foods is determined. In both cases, since the heat absorbed or released is proportional to the amount of reactant used, molar enthalpy = H/n is a more meaningful and characteristic quantity. In a bomb calorimeter, the actual chamber holding the sample is known as a “bomb”. After opening its lid, we place a weighed sample in a cup at the bottom of the bomb. We seal it, and through a valve, we deliver O2, saturating the bomb to get it ready for ignition. We secure the bomb within a calorimeter bucket that is filled with water (the water is the environment which will absorb the heat of combustion). A stirrer keeps the temperature of the water evenly distributed. A thermometer allows us to measure the initial temperature; the ignition wire connected to a high voltage source initiates the explosion; heat is released, and we measure the maximum temperature attained. Q = mc T m = mass of the water in the calorimeter in grams (because of c ‘s units; see below), or the mass of whatever substance is acting as the environment. In reality we should assume that the material part of the calorimeter also absorbs heat. But in this course, we usually ignore that part. c = specific heat of water or whatever is acting as the environment. Note c is usually expressed in , so that Q is in Joules T = Tf – Ti. To get H, remember: H = - Q. ( see "I'm so hot and she's so cold”, on page 43") We convert J to kJ by 1000, and then Molar enthalpy = H/n. n = number of moles of reactant. So we convert the carefully measured mass in to moles by dividing by molar mass. 40 LaurenHill Chemistry 534 In molar heat of neutralization problems, n = CV, where C = concentration in “M” = moles/L. V = volume in liters. In-Class Examples 1. 9.0 grams of charcoal (C) were completely consumed in a bomb calorimeter. If we assume that the 2.0 L of water absorbed all of the heat released by the charcoal, and if the temperature of the water increased from 20.25 to 56.04oC, what is the molar enthalpy of carbon? 2. CS2, a very flammable liquid, has a molar enthalpy of -1028 kJ/mole. What do you expect aluminum's final temperature to be if 1.0 kg of Al is initially at 20.0 C, and it absorbs all the heat from the following sample of CS2: mass of CS2 before burning: 22.6 g mass of CS2 after burning: 11.6 g specific heat capacity of Al: 0.900 J/[g C] 41 II. Thermochemistry 3. 300.0 mL of 0.20 M aqueous KOH neutralizes 150 mL of aqueous 0.20 M H2SO4. We go from an average initial temperature of 22.3 C to a maximum of 29.2 oC. Calculate the molar heat(enthalpy) of neutralization of KOH. Assume that the amount of water created in the neutralization is negligible and that the specific heat and density of all aqueous solutions is 4.19J/(goC) and 1.0 g/ml, respectively. 4. Find the final temperature of the following mixture: 400.0 g of Cu initially at 99.0 oC 25.0 L of water initially at 10.0 oC c for Cu = 0.39 J/[g C] 42 LaurenHill Chemistry 534 Example: Relate the "He's so hot and she's so cold" to why Q = -H. Throughout the explanation, imagine a man with hot hands and a woman with cold hands. 1st Point of View: Man is reaction; woman is environment. Man releases or loses heat; he represents an exothermic reaction. H for man is (-). Woman feels heat; she absorbs it, and her temperature increases. Her Q = (+) . Recall that Q = mc , where = Tf - Ti. Note H = -Q. 2nd Point of View: Woman is reaction; man is environment. Woman takes heat from man. She is an endothermic reaction. She steals or absorbs heat from the man. H for woman is (+). Man feels a cold hand; he loses heat to the woman, so his temperature drops. His Q = (-). Again H = -Q; the signs are again opposite of one another. Chemical Case. Suppose that NaOH(aq) is neutralizing HCl(aq). Both are dilute solutions in water. When they react they release heat into the surrounding water, just like the man. Their H = (-). But you record an increase in temperature because you are inserting a thermometer into the water. The water is like the woman in the previous analogy. So for water, Q = (+). If NaNO3 dissolves in water, the sodium nitrate absorbs or steals heat from the water. The H for the reacting nitrate is (+), just like the woman's when she is regarded as the reactant. The water is now like the man; it experiences a drop in temperature and its Q is (-). 43 II. Thermochemistry Exercises (questions slightly modified from old exams) 1. Calculate the heat released by the combustion of one mole of C4H10(g) based on the data below: initial mass of butane remaining mass of butane water's initial temperature water's final temperature volume of water in calorimeter 7.25 g 1.25 g 25.0 oC 60.7 oC 2.0 L 2. Find the molar heat of KOH(s) if dissolving 4.0 g of this base in 200.0 mL of water caused the water in the calorimeter raised from 25.0 to 31.5 oC. 3. When 200 mL of 0.50 moles/L NaOH solution completely neutralizes 200 ml of HCl, the temperature of the solution rises by 6.6 oC. Calculate the molar heat of neutralization of NaOH, assuming that the resulting solution has the same density and specific heat as those of water. 4. In an experiment, a piece of iron, Fe, with a mass of 4.0 grams was heated from 22°C to 42°C. During the heating process, the piece of iron absorbed 5.04 101 kJ/mol. What is the specific heat capacity of this piece of iron? 5. Uncle Ivan prefers his pre-dinner drink to be about 15°C. What mass of tap water (at 11°C) must he add to his 30.0 mL of alcohol at 22°C so that his drink can be at his preferred temperature (15°C)? (Assume the alcohol has the same density and specific heat capacity as ethanol = J ; density of ethanol = 0.79g/ml) 2.45 g C 6. A piece of metal with a mass of 32.6 grams at a temperature of 2.00 102°C is dropped into a calorimeter containing 1.00 102 mL of water at 25.0°C. The specific heat capacity of the metal is 0.448 J . g C Assuming complete heat transfer between the water and the metal, what will be the maximum temperature of the metal-water system in the calorimeter? 44 LaurenHill Chemistry 534 7. A student was asked to check the purity of the paraffin, C25H52, in a candle. Knowing that the molar heat of combustion of pure paraffin is 15 300 kJ/mol, she conducted an experiment to determine the molar heat of combustion of the paraffin in the candle. She used a calorimeter and made the following observations: Mass of the candle at the beginning of the experiment Mass of the candle at the end of the experiment Initial temperature of the water in the calorimeter Final temperature of the water in the calorimeter Volume of water in the calorimeter 28.52 g 24.29 g 20.0°C 42.0°C 2000. mL Note: All of the heat released during the combustion of the paraffin was absorbed by the water in the calorimeter.(question on next page……) Can the student conclude that the paraffin in the candle is relatively pure, given that the paraffin in the candle is considered pure if the difference between its molar heat of combustion and the molar heat of combustion of pure paraffin is between 0 and 350 kJ/mol). 8. Methyl alcohol, CH3OH(1), is generally used as a fuel to heat the oil in fondue sets. What mass of methyl alcohol is needed to heat 1.10 kg of fondue oil from 22.0°C to 98.0°C? Specific heat capacity of fondue oil is: 8.9 kJ/[kg°C] Equation for the combustion of methyl alcohol is: CH3OH(1) + 3/2 O2(g) CO2(g) + 2 H2O(g) + 639 kJ 9. Styrofoam Thermometer Water During a calorimetry experiment, 4.01 g of LiCl(s) are dissolved in 100. mL of water. The temperature of the water increased from 22.0°C to 28.0°C. What quantity of heat energy would be produced if 2.0 moles of LiCl were dissolved? 45 II. Thermochemistry 10. A blacksmith heats a horseshoe to a very high temperature; the horseshoe has a mass of 550 g. Then he plunges it into an insulated bucket containing 8.50 liters of water at 22.0°C. He notes that the maximum water temperature reached was 26.9°C. Given that the specific heat of the iron is 0.45 kJ/[kg °C], determine the temperature to which the horseshoe must have been heated. Extra Calorimetry (solutions also on web site) 1. Phileas Fogg, the character who went around the world in 80 days, was very fussy about his bathwater temperature. It had to be exactly 38.0 o C. You are his butler, and one morning while checking his bath temperature, you notice that it’s 42.0oC. You plan to cool the 100.0 kg of water to the desired temperature by adding an aluminum-duckie originally at freezer temperature (-24.0oC). Of what mass should the Al-duckie be? [Specific heat of Al = 0.900 J/(goC); density of water =1 .00 g/ml]. Assume that no heat is lost to the air. 2. A certain material’s (environment) temperature increases by 1.00oC for every 1560 J that it gains. A 0.1964 g sample of quinone (molar mass = 108.1 g/mole) was burnt, and the surrounding material’s temperature increased from 20.3 oC to 23.5 oC. Find the molar heat of combustion for quinone. 3. A 1.55 g of CH4O sample is burnt in a calorimeter. If the molar heat of combustion of CH4O is -725 kJ/mole, and assuming that the 2.0 L of water absorbed all of the heat of combustion, what temperature change did the water experience? 4. 0.20 moles of HX were neutralized by NaOH. The concentrations of the base and acid were equal. If the temperature of the water in the calorimeter increased from 19.9 to 24.6 C, what was the original concentration of HX? Molar heat of neutralization = -80 kJ/mole of HX 5. In real calorimeters, most of the heat released by the bomb is absorbed by water, but a certain amount is also absorbed by the metal and insulation surrounding the water tank. A certain calorimeter absorbs 24 J/oC. If 50.0 g of 52.7oC water is mixed with the calorimeter’s original 50.0 g of 22.3oC water, what will be the final temperature of the mixture? 46