Ch6 Practice Problems KEY

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1 Ch. 6 Spring 2024 Chapter 6 Problem Set 1. Which is false ? a. Energy is directly proportional to frequency. b. Energy is indirectly proportional to wavelength. c. Wavelength is directly proportional to frequency. d. Long wavelengths have low energies and low frequencies. e. Short wavelengths have high energies and high frequencies. 2. Consider the diagram. What is the value designated by the arrow ? a. b. c c. h d. E e.  − wavelength 3. Consider the diagram. Assume the time period shown is one picosecond. Which is false ? a. (a) and (b) have the same speed. b. (a) has double the frequency of (b). c. (a) has double the wavelength of (b). d. The frequency of (a) is 2 ps -1 e. The frequency of (b) is 4 x 10 12 Hz 4. What is the energy of the light for diagram (a)? Assume the time period shown is for one picosecond. a. 1.3 x 10 -33 J b. 1.3 x 10 -21 J c. 1.3 x 10 -34 J d. 1.3 x 10 -24 J e. 1.3 x 10 -27 J 5. What is the wavelength of the light for diagram (b)? (The frequency of (b) is 4x10 12 Hz) a. 7.5 x 10 -5 m b. 7.5 x 10 4 m c. 7.5 x 10 19 m d. 7.5 x 10 28 m e. 7.5 x 10 10 m 6. What type of electromagnetic radiation is (b)? a. UV b. Visible c. IR d. Microwave e. Radio
2 Ch. 6 Spring 2024 7. Arrange the following types of electromagnetic radiation in order of increasing (shortest to longest) wavelength from left to right. X-rays infrared red visible light radio waves green visible light UV radiation microwaves X-rays < UV radiation < green visible light < red visible light < infrared < microwaves < radio waves 8. a. What is the energy of a photon whose frequency is 5.50 x 10 14 Hz? E = h ν = 3.64 x 10 -19 J b. What is the wavelength (in nm) of a photon whose frequency is 5.50 x 10 14 Hz? 𝜆 = 𝑐 𝜈 = 5.45 𝑥 10 −7 𝑚 ( 10 9 ?? 1 ? ) = ??? ?? (green light) 9. When a compound containing a cesium ion is heated in a Bunsen burner flame, photons with an energy of 4.30 x 10 -19 J are emitted. What color is the cesium flame? 𝜆 = ??? ?? blue light 10. Match. __ C __ A spectrum that contains all wavelengths A. Photoelectric effect of visible light. __ D __ A spectrum of light emitted from excited B. Blackbody radiation atoms and molecules. __ B __ Emission of light from hot objects. C. Continuous spectrum __ A __ Emission of electrons from metal surfaces D. Discrete (or line) spectrum on which light shines. 11. Of the following transitions in the Bohr hydrogen atom, the ________ transition results in the emission of the highest-energy photon. (MC) A) n = 6 → n = 4 B) n = 6 → n = 7 C) n = 4 → n = 2 D) n = 1 → n = 4 E) All transitions emit photons of equivalent energy. 12. Which of the above transitions is the result of the absorption of the longest wavelength photon? B) n = 6 → n = 7
3 Ch. 6 Spring 2024 13. Calculate the wavelength of the radiation released when an electron in a hydrogen atom moves from n = 4 to n = 1. What region of the electromagnetic spectrum does this fall in? 𝜆 = 9.723 𝑥 10 −8 𝑚 ( 10 9 ?? 1 ? ) = 97.2 3 nm UV light 14. Solve. a. What is the wavelength of the light (in nm) that has an energy of 5.5 eV? 𝜆 = ℎ𝑐 𝐸 ?ℎ?𝑡?? = ?. ? × ?? −? ? = ??? ?? b. What type of electromagnetic radiation is this? This is ultraviolet radiation. c. How much energy (in J) would a mole of these photons supply? 𝐸 = ?. ? 𝒙 ?? ? 𝑱/??? = ??? ?𝑱/??? 15. What is the wavelength (in nm) of an electron whose velocity is 1.20 x10 3 m/s? What type of electromagnetic radiation is this? (*Hint: The mass of an electron is 9.01938 x 10 -28 g). 𝜆 = ?𝑣 = 𝜆 = 𝑚𝑣 = 6.12 × 10 −7 𝑚 = ??? ?? Visible light - orange
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4 Ch. 6 Spring 2024 16. Match. __ B __ The quantum number that describes A. Degenerate orbitals the relative distance of the electron to the nucleus. __ C __ The quantum number that describes B. Principal Quantum Number ( n ) The shape of the orbital. __ D __ The quantum number that describes C. Angular Momentum Quantum Number ( l ) The 3-D orientation of the orbital. __ E __ The quantum number that describes D. Magnetic Quantum Number ( m l ) the spin of an electron. __ F __ The collection of orbitals with the same E. Spin Quantum Number ( m s ) value of n . __ G __ The set of orbitals with the same n and F. Shell l values. __ A __ All orbitals with the same n have the G. Subshell same energy. 17. Match; ______Gives a probability density map where an electron is statistically likely to be at a given instant in time; gives a shape to the orbitals. ______Can’t know both the exact momentum and exact location of the electron at the same time. ______Electrons fill the lowest energy orbitals first. ______Electrons fill singly into different orbitals of the same subshell with the same spin before pairing up. ______Two elections can occupy same orbital but must have different spins. ______No two electrons can have the same energy. ______Two electrons can have the same set of three q numbers if they have different values of m s . 18. True or False? a. F These are both p orbitals. b. T These are all s orbitals but each one has a different principal quantum number. c. F These are f orbitals. A. Schrodinger’s wave equations B. Heisenberg Uncertainty Principle C. Aufbau Principle D. Hund’s Rule E. Pauli Exclusion principle A B C D E E E
5 Ch. 6 Spring 2024 19. Answer the following: a. How many orbitals are in the 3d subshell? ______ b. How many subshells are in the 4 th shell? ______ c. How many orbitals are in the 3s subshell? ______ d. How many electrons are in the 4f subshell? ______ e. How many electrons are in the 2p subshell? 3p? ______ f. How many electrons are in the 4 th shell? ______ 20. Use the electron box diagrams to answer the questions below: A: B: C: D: E: i. Which electron box violates the Aufbau principle ? A, C ii. Which electron box violates Hund’s rule ? B, E iii. Which electron box violates the Pauli exclusion principle ? D iv. Are any of the electron boxes valid ? C (valid for Cr) 21. How many unpaired electrons are present in the element, oxygen? a. 1 b. 2 c. 3 d. 4 e. All of the electrons are paired up. 4s 3d 4p                  5 5d orbitals in a d subshell 4 4s, 4p, 4d, 4f 1 1 s orbital in an s subshell 14 14 e in the 7 orbitals of an f subshell 6 , 6 6 e in the 3 orbitals of a p subshell 32 2 + 6 + 10 + 14
6 Ch. 6 Spring 2024 22. Electron Configuration EXTRA PRACTICE For each of the elements below, write: 1. Orbital diagram (paramagnetic OR diamagnetic) 2. Full electron configuration 3. Noble gas configuration 4. Number of valence electrons 5. Number of core electrons F 1. 2. 1s 2 2s 2 2p 5 3. [He] 2s 2 2p 5 4. 7 5. 2 Mg 2+ 1. 2. 1s 2 2s 2 2p 6 3. [Ne] 4. 8 5. 2 He 1. 2. 1s 2 3. [He] 4. 2 5. 0 V 1. 2. 1s 2 2s 2 2p 6 3s 2 3p 6 4s 2 3d 3 3. [Ar] 4s 2 3d 3 4. 5. Br - 1. 2. 1s 2 2s 2 2p 6 3s 2 3p 6 4s 2 3d 10 4p 6 3. [Kr] 4. 8 5. 28 Co 1. 2. 1s 2 2s 2 2p 6 3s 2 3p 6 4s 2 3d 7 3. [Ar] 4s 2 3d 7 4. 5. Cu + 1. 2. 1s 2 2s 2 2p 6 3s 2 3p 6 3d 10 3. [Ar] 3d 10 4. 5. Cr 2+ 1. 2. 1s 2 2s 2 2p 6 3s 2 3p 6 3d 5 3. [Ar] 3d 5 4. 5. N 1. 2. 1s 2 2s 2 2p 3 3. [He] 2s 2 2p 3 4. 5 5. 2 Ge 1. 2. 1s 2 2s 2 2p 6 3s 2 3p 6 4s 2 3d 10 4p 2 3. [Ar] 4s 2 3d 10 4p 2 4. 4 5. 28 O 1. 2. 1s 2 2s 2 2p 4 3. [He] 2s 2 2p 4 4. 6 5. 2 Al 3+ 1. 2. 1s 2 2s 2 2p 6 3. [Ne] 4. 8 5. 2 Note: Determining valence electrons for transition metals is more complicated than for representative elements, so you will not be responsible for these.
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7 Ch. 6 Spring 2024 Chapter 6 (Part 1) Reference Information Rydberg equation: c = λν 𝐸 = |∆𝐸| = 𝐸 ?ℎ?𝑡?? = ℎ𝜈 = ℎ𝑐 𝜆 h = 6.626 x 10 -34 J•s c = 3.00 x 10 8 m/s 𝜆 = ?𝑣 ∆𝑝∆𝑥 ≥ 4𝜋 where Δp = mΔv Figure 6.5. The electromagnetic spectrum. ( tophat.com )