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CHM1045 Fall 2000 Dr. Michael Blaber Name_______________________________SS#_________________________ Exam #3 100 points total Monday November 13 2000 1. A negatively charged particle is moving towards you through a magnetic field and is deflected downward (as shown in the following diagram). Based upon the direction of deflection, and the charge of the particle, write in the appropriate pole (i.e. "N" or "S") on the two magnets to indicate the direction of the magnetic field (6 points) 2. Given the following frequencies for different types of electromagnetic radiation, determine their wavelengths and indicate the general region of the electromagnetic spectrum where they would be located (9 points) a. = 2.4 x 1013 s-1 b. = 1.5 x 1018 s-1 c. = 0.8 x 1016 s-1 3. Given the following wavelengths for different types of visible light, indicate their color and the energy contained in a single photon (10 points) a. = 700nm a. = 525nm 4. Given the following electromagnetic wave, draw a wave that has one-half the amplitude and one-half the frequency (6 points) 5. An electron transitions from the n = 2 to the n = 4 quantum state in Bohr's model of the hydrogen atom. Is a photon absorbed or emitted for this electron transition? (3 points). What is the energy, frequency and wavelength of the associated photon? (9 points). Is this wavelength visible? (3 points) 6. An electron is accelerated to 10% the speed of light. What is the characteristic wavelength of the electron according to De Broglie's equation? (6 points) 7. What is the designation for the electron subshell with principle quantum number = 4 and azimuthal quantum number = 3? How many orbitals are there in this subshell and how many total electrons can it hold? (6 points) 8. Write the electron configuration for the following atoms. You may reference the nearest noble gas electron configuration if you wish (8 points) a) Mg b) Cl c) K d) B 9. Fill in the orbital diagram for the electrons in the following atoms (9 points) a) Be b) O c) P 10. For the following atoms, indicate the effective nuclear charge on the underlined valence electrons (8 points) a) K [Ar]4s1 b) S [Ne]3s23p4 c) C [He]2s22p2 d) Al [Ne]3s23p1 11. Answer the following questions regarding the groups of atoms or ions (9 points) a) Which atom is larger: N, O, P, or S? b) Which atom or ion has the higher ionization energy: Na, Mg+, K+, or Ca? c) Which atom has the greater electron affinity (i.e. greater energy released when gaining an electron): Be, B, C or N? 12. Given the following information for bond distances, calculate the atomic radius (not diameter!) of for C, N, O and H atoms (8 points) C-O 1.50Å C-N 1.52Å O-N 1.48Å O-H 1.10Å C-H 1.14Å N-H 1.12Å C-C 1.54Å Radius of H: Radius of C: Radius of N: Radius of O: Constants, etc. c (speed of light) = 3 x 108m/s h (Planck's constant) = 6.63 x 10-34 Js RH (Rydberg constant) = 2.18 x 10-18J (Note: this is also known as 'B' or Bohr's constant relating electron energies in the Hydrogen atom) Mass of electron: 9.11 x 10-31 kg 1 Joule = 1kg m2 s-2 Note: need to memorize: * = c (the relationship between wavelength, frequency and speed of light for electromagnetic radiation) E = h * (the relationship between energy and frequency for electromagnetic radiation En = -RH / n2 or En = -B / n2 (the relationship between the energy of an electron in Bohr's model of the hydrogen atom, and the orbit number of the electron) Elevel = RH * (1/ni2 - 1/nf2) or En = B * (1/ni2 - 1/nf2) (Energy change associated with an electron transition from one orbit to another in the Bohr model of the hydrogen atom. Note sign on the constant) = h/(mv) (DeBroglie's relationship between momentum (i.e. mass * velocity) and wavelength for a particle.