Ch.7 - Quantum MechanicsWorksheetSee all chapters
All Chapters
Ch.1 - Intro to General Chemistry
Ch.2 - Atoms & Elements
Ch.3 - Chemical Reactions
BONUS: Lab Techniques and Procedures
BONUS: Mathematical Operations and Functions
Ch.4 - Chemical Quantities & Aqueous Reactions
Ch.5 - Gases
Ch.6 - Thermochemistry
Ch.7 - Quantum Mechanics
Ch.8 - Periodic Properties of the Elements
Ch.9 - Bonding & Molecular Structure
Ch.10 - Molecular Shapes & Valence Bond Theory
Ch.11 - Liquids, Solids & Intermolecular Forces
Ch.12 - Solutions
Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
Ch.18 - Electrochemistry
Ch.19 - Nuclear Chemistry
Ch.20 - Organic Chemistry
Ch.22 - Chemistry of the Nonmetals
Ch.23 - Transition Metals and Coordination Compounds

Solution: According to the Bohr model for the hydrogen atom, which of the following transitions will emit light with the longest wavelength?a. from the n = 4 to n = 2 energy level.b. from the n = 4 to n = 3 energy level.c. from the n = 3 to n = 1 energy level.d. from the n = 6 to n = 2 energy level.e. from the n = 5 to n = 3 energy level.

Problem

According to the Bohr model for the hydrogen atom, which of the following transitions will emit light with the longest wavelength?

a. from the n = 4 to n = 2 energy level.

b. from the n = 4 to n = 3 energy level.

c. from the n = 3 to n = 1 energy level.

d. from the n = 6 to n = 2 energy level.

e. from the n = 5 to n = 3 energy level.

Solution

We’re being asked to determine which transition results in the emission of light with the longest wavelength. Recall that starting from n = 1, the distance between each energy level gets smaller as shown below:



Emission is a transition process from a higher energy level to a lower energy level



We can see that energy and frequency are directly proportional. The energy in a transition also depends on the distance between the energy levels.


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