Hour Exam I Fall 2011 Name: 10-6-2011 1) An electron in a plasma TV display screen is moving freely at a velocity of 5000 m/s. What is its kinetic energy in Joules? a) 2.2.10-18 b) 3.3.10-30 c) 4.1.10-20 d) 2.2.10-23 ✔e) 1.1.10-23 Who says beans don’t have an immune system? Identify the numbered hybridized atoms in wyerone acid, which beans use to kill attacking fungus. 2) ✔a) sp b) sp2 c) sp3 3) a) sp b) sp2 ✔c) sp3 4) a) sp ✔b) sp2 c) sp3 5) The degeneracy of the first excited state of a particle in a cubic box of either one, two or three dimensions is: [Hint: cubic means all lengths L are equal.] ✔a) 1, 2, 3 b) 1, 1, 1 c) 0, 0, 0 d) 1, 2, 2 e) 3, 3, 3 6) What is the longest wavelength of a photon that will still ionize a Lithium atom? a) 15.7 nm b) 157 nm c) 0.004 m ✔d) 230 nm e) 400 nm 7) Which of the following is the x-p plot for the lowest energy state of a spring allowed by the Heisenberg principle? ✔d 8) The Balmer series of a hydrogen atom is a series of sharp emission lines that ends in the n=2 state. The longest wavelength line is called Balmer-. What color is this line? [Hint: emitted color is the same as absorbed color.] a) UV b) blue-green c) yellow 1 ✔d) red e) IR=infrared Hour Exam I Fall 2011 Name: 10-6-2011 9) What is the effective nuclear charge of magnesium and, given the IP of similar atoms on the hint page, what is its ionization potential in kJ/mole? a) 1, 942 ✔b) 1.5, 738 c) 1.5, 942 ✔d) 2, 738 e) 2, 942 Note: Depending on how you calculate Zeff, both 1.5 and 2 are acceptable 10) A 4p orbital (n=4, ℓ=1) has how many nodes? (planar = angular is a “flat” node, radial is a “spherical” node) a) 1 radial, 2 planar d) 2 radial b) 3 radial, 1 planar ✔e) 2 radial, 1 planar c) 1 radial, 1 planar 11) What is the valence e- configuration of iron, the most stable nucleus in the universe? a) 4s23d7 b) 4s13d7 ✔c) 4s23d6 d) 3s23d7 e) 3s13d7 12) Two methyl radicals are coming together to make a chemical bond and form ethane. The potential energy as a function of the C to C bond distance looks like ✔c V() a) V() V() b) 0 R c) R 0 V() d) R 0 0 R 13) Based on electronegativities, which of the following uncharged molecules has incorrectly assigned partial charge(s) ? ✔b + /2 +/2 - + /2 - H a) O b) O=S=O H + /2 + + c) I-Br 2 - F F d) F-S-F -F F - e) a and d Hour Exam I Fall 2011 Name: 10-6-2011 14) Using MO theory, the bond order and magnetism of the charged molecule ArH+, common in the upper atmosphere of the Earth, is a) 1, paramagnetic b) 0.5, diamagnetic c) 0.5, paramagnetic ✔d) 1, diamagnetic e) 1.5, paramagnetic The MO diagram for ArH+ would probably be similar to that of HCl, if we assume that H and Ar+ is combining. 15) When you fill electrons into the MO diagram of the N 2 molecule, the lowest unoccupied MO looks like: ✔a) b) c) d) e) 16) Ozone is a dangerous pollutant at low altitude, but an important UV screen in the upper atmosphere. Which Lewis dot structure is closest to the actual wavefunction of Ozone? ✔b 17) Phosphene (PH3) is a toxic gas used in the manufacture of n-doped semiconductors chips. All H-P-H bond angles are 93°. To a first approximation, which atomic/hybrid orbitals on phosphorous best describe the bonding in the localized electron picture? ✔a 3 Hour Exam I Fall 2011 Name: pz a) py px 10-6-2011 sp3 pz b) sp2 sp2 c) sp3 sp3 pz d) sp sp sp3 sp2 pz py e) sp2 sp2 sp2 18) Two electrons fill into energy levels as shown to make the lowest energy state. Which of the following is definitely true: E E a) This must be an excited state, could never be the lowest state b) This is close to the lowest energy state, but the upper e- should be flipped ✔c) If E is small, Pauli exclusion minimizes e- repulsion, making it the lowest state d) This violates the Pauli exclusion principle because both e- have the same spin e) If E is large, the upper e- should be moved down without flipping. 19) What is the electron affinity of O+ atomic ion? a) 1402 ✔b) 1314 d) The same as O atom c) 1682 e) insufficient information on hint page 20) px ~ sinθ cosφ. py ~ sinθ sinφ. pz ~ cos θ. An electron is in the triply degenerate p state, nothing further specified. The probability P(θ, φ) of finding the electron at angles θ and φ is a) sinθ (sinφ + cosφ) d) independent of θ b) independent of φ e) sin2θ sinφ cosφ ✔c) independent of θ and φ 21) A single potassium atom is inside the cavity of a C60 molecule (cavity diameter 7 Å) in the lowest possible energy state. What is the velocity spread? a) 0 ✔b) 15 m/s c) 1500 m/s d) ª 1 15 c e) K does not fit inside a C60 cavity 22) Which particle has greater momentum? a) An electron moving at 5000 m/s ✔b) An X-ray photon of 0.5 nm wavelength (And yes, because a photon has momentum, it can ‘kick’ an electron around when they ‘collide’, and vice-versa.) 4 Hour Exam I Fall 2011 Name: 10-6-2011 23) The molecule trans-hexatriene = acts as a box for electrons because of the conjugated pi electrons. Assuming the particle in a box model for the pi electrons, and knowing the lowest energy photon that can be absorbed has frequency 1.2.1015 Hz, you estimate the size of the hexatriene ‘box’ to be: a) < 2 Å b) 2 to 4 Å ✔d) 6 to 8 Å c) 4 to 6 Å e) >8 Å 24) Which of the following orbitals do not have the right symmetry to make a bonding or antibonding combination when the orbitals are brought together along the dotted line? ✔d a) b) c) d) e) 25) 1) 2) x x x 4) 3) x 5) x Which wavefunction above best matches the orbital formula ~ (2-r/a) e-r/a? a) 4, 2s b) 2, 1s ✔c) 5, 2s d) 3, 3px e) 1, 3px That’s it, folks! 5
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