Name: 10 Dec. 2008 Chemical Principles I Third Midterm Constants: c = 3.00 x 108 m/s ; h = 6.63 x 10-34 J-s PART A1 Circle the letter for the correct answer. (1/2 pt each) Answers have been posted on the web for several weeks. PART B Write answers on exam. Show calculations. 1) (8 pts) A life-vest is designed to contain the hydrogen gas produced when 100g of CaH2(s) reacts with 100g of water to form Ca(OH)2(aq) and hydrogen. Calculate the pressure inside the 10.L vest at 20˚C after the vest inflates. (R = 0.080 L∙atm/(mol∙K) Balance: CaH2(s) + 2H2O Ca(OH)2(aq) + 2H2 (g) MW CaH2 = 40. + 2(1.0) = 42. g/mol, H2O = 16. + 2(1.0) = 18. g/mol 100 g CaH2 / 42. g/mol = 2.38 mol CaH2 / 2.38 mol CaH2 ∙ 2 mol H2 / 1mol CaH2 = 5.26 mol H2 100 g H2O / 18. g/mol = 5.56 mol CaH2 / 5.56 mol H2O 2 mol H2 / 2 mol H2O= 5.56 mol H2 CaH2(s) is Limiting Reagent (4 pts) PV = nRT P=nRT/V T = 20o +273 = 293K P = 5.26 mol ∙ 0.080 L∙atm/(mol∙K) ∙ 293K / 10. L P = 12. atm 2) (4pts) It takes helium 10 s. to diffuse through a porous membrane. Calculate how much time it would take methane, CH4 to diffuse. Graham’s Law: Self Test 4.15B 1 3) (6 pt) Display on the two graphs the effect of raising the Temperature, (T higher and lower) of a gas and changing the molecular mass, (M) of a gas. Label the axes of the graphs Class notes and figures 4.27 and 4.26 PART C Write answers on exam. Show calculations. 1) What is an orbital? (5 pts) An orbital is a mathematical function the describes the wave-like behavior of one electron. 2) What is the difference in energy for a hydrogen atom with its electron in a 2s orbital and in a 2p orbital? (2 pts) None (for the H atome) 3) The physical property that demonstrates the wave-like behavior of light is called ___diffraction___. (2 pts) 4) Calculate the energy of a photon that is released when the electron in hydrogen moves from n = 6 to n = 2. (RB = 2.18 x 10-18 J) (2 pts) 2 5) Fill in the numerical value of quantum numbers n and l corresponding to the following orbital designations: (2 pts) Orbital n l 4f 4 3 2s 2 0 3p 3 1 5d 5 2 6) Fill in the maximum number of electrons that occupy each of the subshells in the following table: (2 pts) Max number e- 3d 4f 2s 5d 10 14 2 10 7) Write the electron configurations for the following atoms or ions, using the appropriate noble-gas core abbreviations: (2 pts) Electron configuration As [Ar] 4s23d103p3 Cu [Ar] 4s13d10 Ni2+ [Ar] 3d8 Se2- [Kr] 8) Fill in the letter for the quantum number(s) that govern the following properties of hydrogen-like orbitals: (2 pts) 3 Quantum number (or numbers) shape l energy n spin s spatial orientation m 9) Arrange the following atoms or ions in order of increasing size: (2 pts) Lowest, middle, highest Ca, Mg, Ba Ga, Br, Ge Se2-, Te2-, Se Ni2+, Cu2+, Zn2+ Cr6+, Ti4+, Sc3+ 10) For each of the following pairs, circle the element with the higher metallic character. (2 pts) Li or Be Li or Na Sn or Pb Al or B 11) Predict which of the following oxides are ionic or molecular by putting the letter I under the ionic and M under the molecular. (2 pts) SO2, MgO, Li2O, P2O5, N2O, XeO3 M I I M M M 12) Write a balanced equation for the reaction that occurs in the following cases: (2 pts each) a) Hot magnesium metal reacts with water: Mg + H2O MgO + H2 b) Strontium oxide is added to water: SrO + H2O Sr(OH)2 c) Powdered zinc metal reacts with sulfur: Zn + S ZnS d) Iron(II) oxide reacts with phosphoric acid: 3FeO + 2H3PO4 Fe3(PO4)2 + 3H2O 4 e) Sulfur trioxide reacts with water: SO3 + H2O H2SO4 f) Carbon dioxide reacts with aqueous sodium hydroxide. CO2 + NaOH (aq) NaHCO3 (aq) 13) Write an equation (defining your symbols) that accounts for the large increase in lattice energy in the series of isoelectronic substances KF < CaO < ScN (2 pts) E = k Q-Q+ ----d 14) Circle the most electronegative atom in each of the following sets: (2 pts) (a) P, S, As, Se; (b) B, ν, C, Si; (c) Sn, Ga, Ge, As; (d) Na, Mg, K, Ca 15) Sketch the 1s, 2s, and 3s orbitals on the following graphs (2pts) Fig 1.34 1 1 1 0 0 0 5 x 1s = e -| x | 0 0 5 0 5 x x 2s = (5 – x) e -| x/2 | 3s = (x2-6x +5) e -| x/3 | 5 16) A 1s orbital placed 2 units to the left on the x axis has the form, e -| x +2 | and another placed 2 units to the right has the form, e -| x - 2|. Sketch the MO on the graph on the left and the * MO on the right, and write the mathematical function for each (2 pts). Fig 3.25 and 26 1 1 x x -5 5 -1 = ___________________________ 5 -5 -1 * = _________________________ BONUS (3 pts) HeH+ is a molecular ion found in space. Sketch its MO with its nuclei at +/- 2 and write its mathematical function, knowing that the 1s orbital for different atoms is e -| Zx | ,where Z = atomic number. 6 17) Draw any “good” Lewis structure for each and predict the electron-domain name, molecular structure, and set of hybrid orbitals used by the central atom: (15 pts) All Lewis structures can be found in textbook. Lewis structure + electron-domain tetrahedral H3O SCN molecular hybrid structure orbital Trigonal sp3 pyramidal linear linear sp2 linear linear sp2 tetrahedral Trigonal sp3 - CS2 ClO3 pyramidal - octahedral Square planar d2sp3 Trigonal planar Trigonal planar sp2 tetrahedral Trigonal sp3 - ICl4 BF3 CF4 Pyramidal (or tetrahedral) 7 Trigonal planar bent sp2 tetrahedral bent sp3 tetrahedral Trigonal sp3 - NO2 SF2 Pyramidal - AlCl4 (or tetrahedral) Trigonal linear dsp3 Trigonal sp3 bipyramidal KrF2 tetrahedral pyramidal - HSO3 Trigonal planar Trigonal planar sp2 tetrahedral Trigonal sp3 SO3 pyramidal 2- SO3 Trigonal I3 - linear dsp3 bipyramidal 8 18) Using each of the Molecular Orbital diagrams: 1) fill in the number of electrons of + the two species CO, and CO , 2) calculate the bond order and 3) write the word to describe the magnetic property. (4 pts) a) CO z x*y* px py pz px py pz x y E z s s s s C Bond Order: __3_______ CO O Magnetism: ___diamagnetic_____ 9 + b) CO z x*y* px py pz px py pz x y E z s s s s N NO+ O Bond Order: ___2.5____ Magnetism: _____paramagnetic___________ 10 11