Name:____________________________________________ Pd.:_____
Modern Atomic Theory Homework #1
SHOW ALL WORK!
1. What is the wavelength of radiation whose frequency is 4.621014 1/s? What is the
energy? λ=? ν = 4.62x1014 1/s ΔE = ?
c=λν
ΔE = h*c / λ
8
14
(3x10 m/s) = λ (4.62x10 1/s) ΔE = (6.626x10-34 J *s)(3x108 m/s) / 6.49x10-7 m
λ = 6.49 x 10-7 m
ΔE = 3.06 x 10-19J
2. What is the frequency of radiation whose wavelength is 180 nm? What is the energy?
λ= 180nm (1m / 1x109nm) = 1.8 x 10-7m ν = ? ΔE = ?
c=λν
ΔE = h*c / λ
(3x108 m/s) = (1.8x10-7m) ν
ΔE = (6.626x10-34 J *s)(3x108 m/s) / 1.8x10-7 m
ν = 1.7 x 1015 1/s
ΔE = 1.1 x 10-18J
3. A neon light emits radiation of 616 nm wavelength. What is the frequency of this
radiation? What is the energy?
λ= 616nm (1m / 1x109nm) = 6.16 x 10-7m ν = ? ΔE = ?
c=λν
ΔE = h*c / λ
8
-7
(3x10 m/s) = (6.16x10 m) ν
ΔE = (6.626x10-34 J *s)(3x108 m/s) / 6.16x10-7 m
14
ν = 4.87 x 10 1/s
ΔE = 3.23 x 10-19J
Write the electron configuration for the following elements.
4. Na 1s22s22p63s1
5. Cl 1s22s22p63s23p5
6. Sn 1s22s22p63s23p64s23d104p65s24d105p2
Write the orbital diagram for the following elements.
7. Ca 1s↑↓ 2s↑↓ 2p ↑↓ ↑↓ ↑↓ 3s↑↓ 3p ↑↓ ↑↓ ↑↓4s↑↓
8. Fe 1s↑↓ 2s↑↓ 2p ↑↓ ↑↓ ↑↓ 3s↑↓ 3p ↑↓ ↑↓ ↑↓4s↑↓ 3d↑↓ ↑ ↑ ↑ ↑
9. Pb 1s↑↓ 2s↑↓ 2p ↑↓ ↑↓ ↑↓ 3s↑↓ 3p ↑↓ ↑↓ ↑↓4s↑↓ 3d↑↓ ↑↓ ↑↓ ↑↓ ↑↓ 4p ↑↓ ↑↓ ↑↓ 5s↑↓
4d ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ 5p ↑↓ ↑↓ ↑↓ 6s↑↓ 4f ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ 5d↑↓ ↑↓ ↑↓ ↑↓ ↑↓ 6p↑↓
Name:____________________________________________ Pd.:_____
Write the noble gas configurations for the following elements.
10. Fluorine [He] 2s22p5
11. Strontium [Kr] 5s2
12. Tungsten [Xe] 6s24f145d4
13. Mercury [Xe] 6s24f145d10
Answer the following in complete sentences.
14. The element sulfur has an electron configuration of 1s22s22p63s23p4.
a. What does the superscript 6 refer to? # of electrons
b. What does the letter s refer to? sublevel
c. What does the coefficient 3 refer to? Principal energy level
15. What is the Pauli Exclusion Principle? Why does the name include the word
exclusion?
Each orbital contains electrons with opposite spins, excludes 2 up spins and 2 down
spins
16. Identify the element with each of the following electron configurations.
a. 1s22s22p2? carbon
b. 1s22s22p63s23p1? aluminum
c. 1s22s22p63s23p64s23d104p65s24d9? silver
17. What element is represented by [Ne] 3s23p6? What does it have in common with
neon? Argon, both have noble gases, share core electron configurations
18. Tell the valence shell and the number of valence electrons for the following elements.
a. Calcium valence shell: 4 electrons, valence electrons: 2 electrons
b. Radon valence shell: 6 electrons, valence electrons: 8 electrons
c. Phosphorus valence shell: 3 electrons, valence electrons: 5 electrons
d. Sulfur valence shell: 3 electrons, valence electrons: 6 electrons
e. Magnesium valence shell: 3 electrons, valence electrons: 2 electrons