PRACTICE EXAM 2-C CHEMISTRY E-1ax Problems from this exam will be discussed in sections prior to the exam. LAST NAME: ________________________________________ FIRST NAME: ________________________________________ You should give yourself 2 hours to complete this exam NOTES: 1. This exam has 6 pages with 6 problems, plus the cover sheet, useful information, periodic table, and scrap paper. 2. Note the point values of each exam question, and consider where you can best spend your time. 3. Answer all questions on the exam sheets. Put your final answers in the boxes provided. If you must use the back, then please indicate that clearly! 4. Do not use red pen! 5. For full credit, show all calculations; this also helps us award partial credit. 6. All numerical answers must include correct units for full credit. 1. ____________ 2. ____________ 3. ____________ 4. ____________ 5. ____________ 6. ____________ TOTAL: ___________ / 100 1 1. Answer the questions below. Parts (a), (b), and (c) are all separate, independent questions. a) A 1.00-liter vessel is filled with 0.200 moles of oxygen gas at 25°C. Determine the pressure inside the vessel. (4 pts) P= b) A rigid vessel is filled with 2.00 atmospheres of nitrogen gas and 5.00 atmospheres of helium gas. Determine the total pressure in this vessel and determine the mole fraction of nitrogen gas in this mixture. (4 pts) XN2 (g) = Ptotal = c) A steel reaction vessel at 50°C is filled with 1.20 atm of N2O4 gas. At this temperature, some of the N2O4 will react according to the following balanced reaction: N2O4 (g) ! 2 NO2 (g) After some of the N2O4 has reacted, the total pressure in the vessel at 50°C is measured to be 1.58 atm. Determine the partial pressure of N2O4 in the final gas mixture. (8 pts) P (N2O4) = 1 ( ______ / 16 pts) 2 2. a) Given the following data: P4 (s) + 6 Cl2 (g) ! 4 PCl3 (g) ∆H° = –1150 kJ/mol PCl5 (g) ! PCl3 (g) + Cl2 (g) ∆H° = 120 kJ/mol Determine the change in enthalpy (∆H°) for the following reaction: P4 (s) + 10 Cl2 (g) ! 4 PCl5 (g) ∆H° = ??? (6 pts) ∆H° = b) Use any data from the Useful Information page to determine ∆H° for the following reaction: 4 NH3 (g) + 5 O2 (g) ! 4 NO (g) + 6 H2O (g) ∆H° = ??? (6 pts) ∆H° = c) Consider the following balanced neutralization reaction between citric acid, which we can abbreviate as H3Cit, and sodium hydroxide, NaOH: H3Cit (aq) + 3 NaOH (aq) ! Na3Cit (aq) + 3 H2O (l) ∆H° = –173 kJ/mol Using the above information, determine the total quantity of heat released when 1.00 moles of citric acid is mixed with 0.200 moles of sodium hydroxide and the above reaction proceeds to completion. (4 pts) heat released = d) A reaction is performed in a coffee-cup calorimeter and the temperature of the solution decreases. From this information you can conclude that the reaction is: (circle) (2 pts) endothermic 2 exothermic ( ______ / 18 pts) 3 3. After working through several versions of the “iced-tea problem”, you decide to attempt a similar experiment with a different substance. You choose stearic acid, a fatty acid that is used in the production of chocolate, candy, candles, plastics, and cosmetics. Some data for stearic acid is given below. Data for stearic acid: Molar mass = 284.5 g/mol Melting point = 70°C Specific heat of solid = 1.76 J/g°C Specific heat of liquid = 2.30 J/g°C Enthalpy of melting: stearic acid (s) ! stearic acid (l) !H° = 56.6 kJ/mol You mix together: 100. grams of solid stearic acid at 50°C 250. grams of liquid stearic acid at 100°C After the stearic acid has thoroughly mixed, the entire mixture has a temperature of 70°C. Some of the solid has melted, but some solid stearic acid remains. Determine the mass of solid stearic acid that remains in the mixture. (16 pts) mass of solid = 3 ( ______ / 16 pts) 4 4. An excited-state hydrogen atom has its electron in the 4px orbital. This electron undergoes a transition to the ground state, resulting in the emission of a photon of light. This photon then strikes the surface of a piece of silver metal, causing an electron to be ejected from the surface of the silver via the photoelectric effect. Determine the maximum kinetic energy of this emitted electron. (The photoelectric binding energy of silver is 456 kJ/mol.) (16 pts) KEelectron = 4 ( ______ / 16 pts) 5 5. a) Identify the n and l quantum numbers and all possible ml and ms quantum numbers for an electron in a 6p orbital. (4 pts) n= l= all possible ml: b) all possible ms: For parts (i) and (ii) below, identify a type of orbital (for example: “2p”) that has the indicated number of angular or radial nodes. For each one, there could be several correct answers. Please write only one answer in each box. (2 pts) i) Has exactly 3 angular nodes: ii) Has exactly 3 radial nodes: c) In the box below, list the names of the five different orbitals in the 4d subshell. (For example, the three different orbitals in the 2p subshell are: 2px, 2py, and 2pz. We are looking for a similar list of the orbitals in the 4d subshell.) (2 pts) d) In the space below, draw a sketch of a 4px orbital that clearly shows the shape and orientation of the orbital and indicates the location of all nodes. Label nodes as “angular” or “radial”, and be sure to label any axes that you draw. (4 pts) e) For each of the following atoms, write the ground-state electron configurations using noble-gas abbreviations, and indicate the number of unpaired electrons in each atom. (The atomic number of each element is also indicated.) (6 pts) e– configuration # unpaired e– Mn (Z = 25): Pb (Z = 82): Cm (Z = 96): 5 ( ______ / 18 pts) 6 6. A reaction vessel is fitted with a movable piston that allows the volume of the vessel to expand and contract and maintains a constant external pressure of 1.00 atm. The vessel is filled with nitrogen gas and a small amount of liquid water at a temperature of 50°C. The volume of gas contained in the vessel at 50°C and 1.00 atm total pressure is 1.00 liters. a) The temperature of the vessel is increased to 80°C, and the volume of the gas expands against the movable piston. At 80°C and 1.00 atm total pressure, there is still a small amount of liquid water present in the vessel. Determine w, work, for this system in units of Joules. (10 pts) w= b) What can you conclude about the sign of q for the gas/water mixture as the temperature of the system is increased from 50°C to 80°C? (2 pts) (circle) c) q=0 q>0 water vapor neither, they are the same Which gas has the greater average kinetic energy per mole at 80°C? (circle) (2 pts) nitrogen gas 6 q<0 Which gas has the greater root mean square speed (uRMS) at 80°C? (circle) (2 pts) nitrogen gas d) Joules water vapor neither, they are the same ( ______ / 16 pts) Scrap Paper Nothing on this page will be graded unless you clearly indicate on a specific problem that additional work is located here. Useful Information This page will NOT be collected after the exam. We will NOT grade anything written on this page. Avogadro’s Number = 6.02 ! 1023 R = 0.0821 L·atm/mol·K = 8.31 J/mol·K kg·m2 1 Joule (J) = 1 s2 Boltzmann’s constant = 1.381 ! 10–23 J/K Planck’s Constant h = 6.63 ! 10–34 J·s Speed of light = 3.00 ! 108 m/s Mass of electron = 9.11 ! 10–31 kg Rydberg Constant RH = 2.18 ! 10–18 J 1 Å = 10–10 m 1 atm = 760 torr = 760 mmHg 1 mL = 1 cm3 1 L·atm = 101.3 J Properties of Water Freezing Point = 0.°C = 273. K Boiling Point = 100.°C = 373. K Vapor Pressure at 25°C = 23.8 torr Vapor Pressure at 50°C = 92.5 torr Vapor Pressure at 80°C = 355.1 torr Standard Enthalpies of Formation at 25°C Substance !H°f NH3 (g) –46.3 kJ/mol NO (g) H2O (g) 90.4 kJ/mol –241.8 kJ/mol 27 Co 28 Ni 29 Cu 30 Zn Fr Cs 227.03 Ac 138.91 89 La Y 88.91 57 (261) Rf 178.49 104 Hf Zr 91.22 72 47.88 40 Actinide series Lanthanide series Ra Ba Sr 44.96 39 231.04 Pa 232.04 Th 140.91 91 140.12 90 59 Pr 58 Ce (263) 183.85 [106] W Mo 95.94 74 52.00 42 (262) Ha 180.95 105 Ta Nb 92.91 73 50.94 41 238.03 U 144.24 92 60 Nd (262) 186.21 [107] Re Tc (98) 75 54.94 43 237.05 Np (145) 93 61 Pm (265) 190.20 [108] Os Ru 101.07 76 55.85 44 (244) Pu 150.36 94 62 Sm (266) 192.22 [109] Ir Rh 102.91 77 58.93 45 (243) Am 151.96 95 63 Eu 195.08 Pt Pd 106.42 78 58.69 46 (247) Cm 157.25 96 64 Gd 196.97 Au Ag 107.87 79 63.55 47 (247) Bk 158.93 97 65 Tb 200.59 Hg Cd 112.41 80 65.39 48 (251) Cf 162.50 98 66 Dy 204.38 Tl In 114.82 81 69.72 49 Ga (252) Es 164.93 99 67 Ho 207.20 Pb Sn 118.71 82 72.61 50 Ge (257) Fm 167.26 100 68 Er 208.98 Bi Sb 121.76 83 74.92 51 As (258) Md 168.93 101 69 Tm (209) Po Te 127.60 84 78.96 52 Se (259) No 173.04 102 70 Yb (210) At I 126.91 85 79.90 53 Br 35.45 35 Cl 226.03 26 Fe S 32.07 34 19.00 17 (223) 25 Mn P 30.97 33 16.00 16 137.33 88 24 Cr Si 28.09 32 14.01 15 132.91 87 V 23 Al 26.98 31 12.01 14 87.62 56 Rb Ca Mg 10.81 13 (260) Lr 174.97 103 71 Lu (222) Rn Xe 131.29 86 83.80 54 Kr Ar 39.95 36 20.18 18 Ne 85.47 55 Ti 22 F 40.08 38 21 Sc O 39.10 37 K Na Li 24.31 20 N 9 22.99 19 C 8 9.012 12 B 7 6.941 11 Be 6 4.003 10 5 4 1.008 3 2 He H 1 PERIODIC TABLE OF THE ELEMENTS
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