HW05 Quantum Numbers and Orbitals-solutions

# 1 lyman series 2 balmer series correct 3 paschen

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1. Lyman series 2. Balmer series correct 3. Paschen series 4. Pfund series 5. Brackett series Explanation: 005(part3of3)10.0points In what region will the light lie? 1. visible, blue correct 2. ultraviolet 3. visible, yellow 4. x-ray, gamma ray 5. infrared 6. visible, red Explanation: This absorption lies in the visible, blue re- gion. 006 10.0points The graph shows the radial distribution plots for the 1s wavefunctions for H, He, and He + . A B C radius 4 πr 2 Ψ 2 Which plot is the 1s wavefunction for the He + ion? 1. There is no way to know 2. A correct 3. C 4. B Explanation: H has one electron and one proton. He has two electrons and two protons. He + has one electron and two protons. Therefore the elec- tron will have the greatest attraction to the the nuclei with two protons. In He there will be a slight reduction in the effective nuclear charge due to the electron-electron repulsion. In He + , there is only one electron so the radius will be the smallest. Plot A is peaked closest to the nucleus so it will be the smallest. 007 10.0points How many electrons can have the quantum numbers n = 2; = 1 in an atom? 1. 4 2. 3 3. 7 4. 6 correct

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priest (jmp4497) – HW05 Quantum Numbers and Orbitals – mccord – (51315) 3 5. 5 Explanation: The notation is n where n = 1 , 2 , 3 , 4 , 5 , · · · = 0 , 1 , 2 , · · · , ( n - 1) represented by a letter: value 0 1 2 3 4 5 letter s p d f g h m = - ℓ, - ( - 1) , - ( - 2) , · · · , 0 , · · · +( - 2) , +( - 1) , + and m s = ± 1 2 . To find the maximum number of electrons that can have the stated values of n and (and any allowed value of m and m s ), double the number of different values of m . If only n is stated then all allowed values of , m and m s are possible; each value of will have its own set of values of m . Total each of these sets of values and then multiply by two to get the number of electrons. If n , ℓ and m are stated then the only other variable is m s which has only two values (only two electrons may share n , ℓ and m ). 008 10.0points The three quantum numbers for an electron in a hydrogen atom in a certain state are n = 4, = 2, m = 1. The electron is located in what type of orbital? 1. 4 d correct 2. 4 p 3. 3 d 4. 4 s 5. 3 p Explanation: The notation is n , where n = 1 , 2 , 3 , 4 , 5 , ... , = 0 , 1 , 2 , ..., ( n - 1) represented as a letter: 0 1 2 3 4 5 etc. orbital s p d f g h and m = - ℓ, - ( - 1) , - ( - 2) , ..., 0 , ..., +( - 2) , +( - 1) , ℓ . The value of m is not needed to determine the orbital type, as long as it is valid. 009 10.0points The number that describes the main energy level of an electron in an atom is 1. the angular momentum (or subsidiary) quantum number . 2. the magnetic quantum number m . 3. the atomic number Z . 4. the principal quantum number n . cor- rect 5. the mass number A . Explanation: The principal quantum number n defines the energy level of each electron in an atom.
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