CP Chemistry Final Exam Review Packet - 2014 I. Vocabulary solid liquid vapor (gas) melting / freezing boiling /condensing sublimation / deposition heat of fusion heat of vaporization specific heat capacity heat enthalpy exothermic endothermic ideal gas pressure volume temperature direct proportion inverse proportion kinetic energy absolute zero STP dissolve concentration molarity equilibrium acid base pH, pOH hydronium/hydrogen ion hydroxide ion ionizing radiation alpha particle beta particle II. Problems Electron Configuration and Periodic table trends 1) Write out the full (longhand) electron configuration for: a) Si b) Ni c) Y 2) Write out the noble gas (shorthand) electron configuration: a) Se b) Cs c) Ra 3) Given the elements Al, Cs, F, Fe, N. List them in order of: a) Increasing atomic radius b) decreasing first ionization energy c) increasing electronegativity 4) Given the elements B, Cl, Li, Ne, Ra, S, W a) Which is an alkali metal? ____ b) Which is a halogen? ______ c) Which is a chalcogen? ____ e) Which is a metalloid? ____ d) Which is a transitional metal? ____ f) Which has a complete octet in its valence? ____ 5) On the periodic table, a group (or family) is a____________________ while a period is a ___________. 1 6) Determine what type of bond (ionic, covalent) would form between the following pairs: a. lithium and oxygen b. sulfur and oxygen c. sodium and nitrogen d. oxygen and a halogen Molecular Geometry 7) Complete the chart below Compound Lewis structure e. an alkaline earth metal and phosphorous Bonds Lone pairs Electron geometry and molecular geometry Polar or Nonpolar HCN CH2Cl2 PCl3 BF3 H2S 7a. Look at your structures of BF3 and PCl3. Explain why one shape is trigional planar and one is trigional pyramidal? 2 Thermochemistry 1. Heat of Fusion / Heat of Vaporization / Heating Curve of Water q = m ∆Hfusp or vap e.g. How much heat is needed to melt 90.0 grams of aluminum? q = (90.0 g) (1 mol / 27g)(10,665 J/mol) q = 35,600 J during Use q = m Cp∆ a phase change e and q = m∆H e.g. How much energy is needed to heat 300g of water from -10C to 30C (∆Hfus = 6 kJ/mol) 3 steps are required: 1) Heat solid water from -10C to 0C 2) Melt water 3) Heat liquid water from 0C to 30C Step 1: q = m C ∆T = (300g)(2.06 J/gC)(0 - -10C) = 6160J = 6.16 KJ Step 2: q = m ∆H = (300g/1) (0.333 KJ/g) = 99.9 KJ Step 3: q = m C ∆T = (300g)(4.184 J/gC)(30-0C) = 37656J = 37.66 KJ Total = 6.16 + 99.9 + 37.66 = 143.72 KJ 8) How much energy is needed to fully vaporize 36g of water (∆Hvap = 2260J/g) 9) How much energy is needed to fully condense 36g of water at 100C (remember sign for ∆H) 10) Determine the amount of energy released when 72g of water is cooled from 45C to -20C. Draw the heating curve associated with this question. Show the state of the water and the boiling and/or freezing point in the diagram. Specific Heat Capacity q = m C ∆T Eg. How much heat is needed to bring 90.0 grams of aluminum from 25C to 75C? q = (90.0 g) (0.902 J/g.K) (75C - 25C) q = 4060 J Using m C ∆T = - m C ∆T e.g. A 25g sample of copper at 128C is dropped into 82g of water at 34C. The final temperature reaches 40C. Determine the specific heat of the copper. m C ∆T = - m C ∆T (Heat in = heat out) (82g)(4.184 J/gC)(40-34C) = -(25g)(Cp)(40-128C) Cp = 0.94 J/gC 3 11. How much heat is required to change 50.0 grams of liquid water at 60C to 90C? 12. A 34g sample of aluminum (C p = 0.902 J/gC) is heated to 100C and placed into 100g of benzene at 20C. The final temperature of the mixture is 46C. What is the specific heat of the benzene? ∆Hrxn from ∆Hf a. ∆Hrxn = ∆Hproducts - ∆Hreactants (Remember that ∆Hf for an element is zero) e.g. Using heats of formation (with your homework on this), determine ∆Hrxn for the following reaction: 2 CH3OH(l) + 3 O2 2CO2(g) + 4 H2O(l) ∆Hrxn = [(2 x -393.5)+(4 x -285.8)] – [(2 x -238.4) + (3 x 0)] = -1453.4 KJ/mol b. ∆Hrxn from Bond Energy: ∆Hrxn = ∆Hbonds broken - ∆ bonds formed 13. Determine the ∆Hrxn for the following reaction: C3H8 (g) + 5 O2 (g) → 3 CO2 (g) + 4 H2O (g) b. Is the reaction in 7a endothermic or exothermic? 30. Use Hess’s Law to find the ΔH for the reaction below, given the following reactions 4 NH3 (g) + 5 O2 (g) 4 NO (g) + 6 H2O (g), I. II. III. N2 (g) + O2 (g) 2 NO (g) N2 (g) + 3 H2 (g) 2 NH3 (g) 2 H2 (g) + O2 (g) 2 H2O (g) 4 ΔH = -180.5 kJ ΔH = -91.8 kJ ΔH = -483.6 kJ Gases 1. Conversions a. Pressure conversions 1 atm = 760 mm Hg = 101.3 kPa eg. 2.5 atm = 1900 mm Hg = 253.25 kPa b. Volume conversions 1 L = 1 dm3 = 1000 cm3 eg. 4.8 L = 4.8 dm3 = 4800 cm3 c. Temperature conversion K = C + 273 eg. -50C = 223 K a. Dalton’s Law of Partial Pressure PT = P1 + P2 + P3 +… eg. A balloon is filled with neon and helium. If the partial pressure of neon is 300 mm Hg and the partial pressure of helium is 900 mm Hg, what is the total pressure of the gases inside the balloon? PT = PNe + PHe PT = 300 mm Hg + 900 mm Hg = 1200 mm Hg b. Boyle’s Law P1V1 = P2V2 eg. A balloon has a volume of 0.9 L and a pressure of 3.1 atm. If the pressure is increased to 7.1 atm, what will the new volume be? P1V1 = P2V2 (3.1 atm)(0.90 L) = (7.1 atm) V2 V2 = 0.39 L c. Charles’ Law V1 / T 1 = V 2 / T 2 eg. A balloon has a volume of 0.90 L at a temperature of 5C. What will the volume be if the temperature is increased to 25C? V1 / T 1 = V 2 / T 2 0.90 L / 278 K = V2 / 298 K V2 = 0.96 L Gas Laws d. Gay-Lussac’s Law P1 / T 1 = P 2 / T 2 eg. A tank with a fixed volume has a pressure of 1.00 atm at a temperature of 27C. What will the pressure be if the temperature is increased to 227C? P1 / T 1 = P2 / T 2 1.00 atm / 300 K = P2 / 500 K P2 = 1.67 atm e. Combined Gas Law P1V1 = P2V2 T1 T2 eg. A balloon has a volume of 0.90 L at STP. At what pressure will the balloon have a volume of 0.40 L and a temperature of 30C? P1V1 = P2V2 T1 T2 (1atm)(0.90 L) = P2(0.40 L) (273 K) (303 K) 5 P2 = 2.5 atm f. Ideal Gas Law PV = nRT PVM = mRT PM = DRT eg. A balloon contains 2.7 moles of gas at a pressure of 450 kPa and a temperature of -20C. What is the volume of the balloon? PV = nRT (450 kPa) V = (2.7 moles)(8.314 kPa L)/(mol K) )(253 K) V = 13 L f. Avogadro’s Principle The volume of one mole of ANY gas at STP is 22.4L – KNOW THIS AND USE THIS! 14. Perform the following conversions: a. 308 kPa = _____ mm Hg b. 1040 mm Hg = _____ atm c. 59 kPa = _____ atm d. 56C = _____ K 15. A tank is filled with hydrogen, nitrogen, and oxygen. If the partial pressure of hydrogen is 208.1 kPa, the pressure due to oxygen is 502.9 kPa, and the total pressure of the gases in the tank is 780 kPa, what is the partial pressure of nitrogen? Does this illustrate a direct or inverse relationship? 16. Gas in a 78 cm3 container has a pressure of 8.7 atm. What will the pressure be if the gas is transferred to a 150 cm3 container? Does this illustrate a direct or inverse relationship? 17. A gas occupies 5.1 dm3 at standard temperature. At what temperature will the gas occupy 15.3 dm3? Does this illustrate a direct or inverse relationship? 18. An air-tight, 1500-mL box contains gas at 370 kPa and 76C. What will the volume be at a pressure of 660 kPa and -6C? Does this illustrate a direct or inverse relationship? 6 19. How many moles of gas are in a 30.-L container held at 4.8 atm and 40C? 20. 56.0 grams of nitrogen dioxide occupies 2.8 L. What will be the volume of 3.1 moles of nitrogen dioxide? Gas Stoichiometry – Using stoichiometry and the Ideal Gas Law g A mol A mol B volume B volume A mol A mol B g B volume A mol A mol B volume B e.g. Determine the mass of aluminum chloride produced when 44.8 L of hydrogen chloride is reacted with aluminum at 2 atm and 45C. 2Al + 6HCl 2AlCl3 + 3H2 PV = nRT æ 0.082Latm ö (2atm)(44.8L) = n ç (318K ) è molK ÷ø n = 3.44mol æ 3.44molHCl ö æ 2molAlCl3 ö æ 133.5g ö çè ÷ø çè ÷ç ÷ = 153.08gAlCl3 1 6molHCl ø è 1mol ø Alternately, if STP were specified, you could find the number of moles or liters simply by remembering that 1 mole of any gas at STP has a volume of 22.4L, thus using æ 22.4 L ö æ 1mol ö as needed. or çè ÷ 1mol ø çè ÷ 22.4 L ø 21. What volume of oxygen at 25 degrees Celsius and 3 atm is needed to completely burn 13g of methanol (CH3OH) in an engine? 2CH3OH + 3 O2 2CO2 + 4H2O 22. What mass of magnesium oxide will be formed if 125L of oxygen is used to burn magnesium at STP? 2Mg + O2 2MgO 7 Phase Diagrams C D B A Be able to interpret a phase diagram Sample problems 23. Determine on which line/curve segment the following phase changes occur: a. Deposition __________________ b. Melting (Fusion) _______________ c. Evaporation (Vaporization) _____________________ d. Sublimation ___________________ e. Deposition ____________________ f. Condensation ___________________ 24. Phase change(s) for CO2 as T goes from -60ºC to -40ºC at 6atm ______________________ 25. What is the effect of increasing pressure on the boiling points of CO 2? __________________ 26. What state of matter is CO2 at 20 atm and -70ºC? ________________________ 27. At what temperature and pressure is CO2 is a solid, liquid, and gas? ______________ Acids and Bases/Equilibrium pH = -(log) [H+] pOH = -(log) [OH-] pH + pOH = 14 [H+] = 10-pH [OH-] = 10-pOH 1 x 10-14 = [H+][OH-] 8 28. Fill in the following chart pH 13.5 [H+] pOH [OH-] 2.2 3.2 x 10-9 6.3 x 10-7 29. The Ka values of hydrocyanic acid, benzoic acid, and lactic acid are 6.2 x 10 -10, 6.4x10-5, and 1.4x10-4, respectively. Which of these three acids is the strongest? Explain your answer by showing the setup for Ka. 31. What is the pH of a 0.5 M solution of nitrous acid? (K a = 4.0 x 10-4) 32. What is the percent ionization of nitrous acid in the previous question? 33. What is the pH of a 0.02 M solution of hydrobromic acid? 34. What is the percent ionization of hydrobromic acid in the previous question? 35. Determine the direction the equilibrium will shift in for the following stresses applied: 2SO3(g) + CO2(g) + heat CS2(g) + 4O2(g) a. removing CO2 e. decreasing volume b. adding heat f. removing CS2 c. decreasing pressure g. lowering the temperature d. adding oxygen h. removing SO3 9 36. A) Balance the following equation and write the equilibrium expression. __NO(g) + __H2(g) ___N2(g) + __H2O(l) B) Initial concentrations of NO(g) and H2(g) were 2.43 moles and 5.78 moles. They are then mixed in a 3.00L flask. At equilibrium the flask contains 1.14 moles N 2(g). Calculate the equilibrium concentrations of the reactants. C) Using your responses in A and B to determine the K eq of the reaction. 37. A student carried out two separate titrations to determine the concentration of two unknown basic solutions, “Solution A” and “Solution B.” He used a 0.01 M solution of HCl for both titrations. Use the data table below to determine the concentrations, in mol/L, of Solutions A and B. Volume of Solution Titrated (mL) Volume of HCl needed to Neutralize Solution (mL) Solution A Solution B 12 18 6 14 38. Describe the difference between a solution with a pH of 3 and a pH of 5. 39. Complete the following nuclear equations, and indicate the type of emission (alpha or beta) a) 238 92 U b) 234 90 Th 40. 234 91 Pa 234 90 Th 234 91 Pa + _____ ___________________ + ______ ___________________ goes through an alpha decay, a beta decay, and a gamma decay. Write the equations below. 10 41. How much time is required for 5.80 mg of 51Cr to decay to 1.45 mg if it has a half-life of 27.8 days? 40. An isotope of cesium has a half-life of 30 years. If 1.0 mg of cesium disintegrates over a period of 90 years, how many mg of cesium would remain? 11