MR. SURRETTE VAN NUYS HIGH SCHOOL CHAPTER 19: THE ATOM AND THE NUCLEUS WORKSHEET SOLUTIONS 1. The restriction that no more than one electron may occupy a given quantum state was first stated by: (A) Bohr (B) de Broglie (C) Heisenberg (D) Pauli (E) Einstein 1A. (D) Pauli 2. When a cool gas is placed between a glowing wire filament source and a diffraction grating, the resultant spectrum from the grating is: (A) line emission (B) red-shifted (C) continuous (D) monochromatic (E) line absorption 2A. (E) line absorption 3. If the radius of the electron orbit in the n = 1 level of the hydrogen atom is 0.053 nm, what is the radius for the n = 5 level ? 3A. (1) rn = n2a0 (2) r5 = 52 (0.053 nm) (3) r5 = 1.33 x 10-9 m 4. 13.6 eV is needed to ionize a hydrogen atom. From the ground state of an electron in a hydrogen atom, what wavelength is needed if a photon accomplishes this task? 4A. (1) E = (13.6 eV)(1.6 x 10-19 J / 1 eV) (2) E = 2.176 x 10-18 J (3) E = hf (4) f = E / h (5) f = 2.176 x 10-18 J / 6.63 x 10-34 J.s (6) f = 3.28 x 1014 Hz (7) v = f (8) = c / f (9) = (3.00 x 108 m/s) / (3.28 x 1014 Hz) (10) = 9.14 x 10-7 m (11) = 914 nm 1|Page CHEMISTRY MR. SURRETTE VAN NUYS HIGH SCHOOL 5. When a glowing wire filament source is placed behind a diffraction grating, the resultant spectrum from the grating is: (A) line emission (B) line absorption (C) continuous (D) monochromatic (E) blue-shifted 5A. (A) line emission 6. A radioactive material initially has an activity of 1200 counts/sec. If six hours later it has an activity of 300 counts/sec, what is its half life? 6A. (1) 1200 600 300 (2) 2 half-lives have gone by, since each arrow represents one half-life. (3) Let x = one half-life. (4) Since the total time is 6 hours: 2x = 6 hours (5) x = 3 hours 7. 88Ra-226 decays to 86Rn-222 by emitting what type of particle: (A) beta (B) proton (C) gamma (D) positron (E) alpha 7A. A= number of nucleons Z = number of protons (1) Parent particle: A = 226 Z = 88 (2) Daughter particle: A = 222 Z = 86 (3) A = 4 Z = 2 (4) (E) alpha particle 8. How does the daughter nucleus differ from the parent in the beta emission process? (A) atomic mass increases by one (B) atomic number increases by two (C) atomic number increases by one (D) atomic mass decreases by two (E) atomic charge increases by two 8A. (C) atomic number increases by one 2|Page CHEMISTRY MR. SURRETTE VAN NUYS HIGH SCHOOL 9. What is the Q-value when one hydrogen atom and one neutron combine to form a deuterium atom? (hydrogen 1.007825 u, neutron 1.009665 u, deuterium 2.014100 u) 9A. Let mB = “mass before reaction” Let mA = “mass after reaction” (1) mB = 1 H + 1 n (2) mB = 1.007825 u + 1.009665 u (3) mB = 2.01749 u (4) mA = 2H (5) mA = 2.014100 u (6) m = mB - mA (7) m = 2.01749 u – 2.014100 u (8) m = 0.00339 u (9) E = mc2 (10) E = (m)c2 (11) E = (0.00339 u)(931.5 MeV / 1u) (12) E = 3.16 MeV 10. If C-12 has 6 neutrons, how many neutrons are in C-14? 10A. (1) A1 = Z + N1 (2) Z = A1 – N1 (3) Z = 12 – 6 (4) Z = 6 (number of protons in C) (5) A2 = Z + N2 (6) N2 = A2 – Z (7) N2 = 14 – 6 (8) N2 = 8 (number of neutrons in C-14) 11. (A) (B) (C) (D) (E) What particle can be emitted when 15P-32 decays to 16S-32? alpha electron neutron gamma proton 11A. (B) since the number of nucleons remains constant, and the atomic number increases by one, this is a beta reaction. 12. (A) (B) (C) (D) (E) The binding energy of a nucleus is the energy needed to remove one of the electrons the average energy of any nucleon the energy needed to separate all the nucleons the mass of the nucleus times c2 the mass of the nucleus divided by c2 3|Page CHEMISTRY MR. SURRETTE VAN NUYS HIGH SCHOOL 12A. (C) the energy needed to separate all the nucleons. 13. (A) (B) (C) (D) (E) If controlled fusion becomes feasible, which would be the main source of fuel: corn oil air coal water petroleum 13A. (D) water 14. (A) (B) (C) (D) (E) Nuclear fusion involves combining the nuclei of: low atomic numbers metals non-metals noble gases high atomic numbers 14A. (A) low atomic numbers 15. (A) (B) (C) (D) (E) The function of the moderator material in a nuclear fission reactor is to: absorb neutrons create new neutrons accelerate neutrons decelerate neutrons destroy neutrons 15A. (D) decelerate neutrons 16. The energy released per fission event of U-235 is 208 MeV. This reaction is 30% efficient. Approximately how many fission events occur in one second to provide the 2.00 kW electrical power needs of a typical home? (1 eV = 1.6 x 10-19 J) 16A. (1) Energy = (0.30)(208 x 106 eV) (2) Energy = 6.24 x 107 eV (3) 6.24 x 107 eV (1.6 x 10-19 J / 1 eV) (4) Energy = 9.984 x 10-12 J (5) Rate = (2000 J / 1 sec)(1 event / 9.984 x 10-12 J) (6) Rate = 2.00 x 1014 events / sec 17. (A) (B) (C) (D) (E) Cadmium control rods used in a nuclear fission reactor serve what purpose: absorb neutrons create new neutrons accelerate neutrons decelerate neutrons destroy neutrons 4|Page CHEMISTRY MR. SURRETTE VAN NUYS HIGH SCHOOL 17A. (A) absorb neutrons 18. A proton and a neutron combine in a fusion process to form a stable deuterium nucleus. Which of the following statements best applies to the mass of the deuterium nucleus? (A) less than the sum of the proton and neutron masses (B) equal to the sum of the proton and neutron masses (C) greater than the sum of the proton and neutron masses (D) equal to twice the proton mass (E) equal to half the proton mass 18A. (A) less than the sum of the proton and neutron masses. 5|Page CHEMISTRY