Ch.7 - Quantum MechanicsWorksheetSee all chapters
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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: For this question consider the figure that shows an energy level diagram for a certain atom (not hydrogen). Several transitions are shown and are labeled by letters. Note: The diagram is not drawn to scale. Which transition corresponds to the emission of the photon with the longest wavelength? Which transition corresponds to the emission of the photon with the shortest wavelength?

Problem

For this question consider the figure that shows an energy level diagram for a certain atom (not hydrogen). Several transitions are shown and are labeled by letters. Note: The diagram is not drawn to scale. 

Which transition corresponds to the emission of the photon with the longest wavelength? 

Which transition corresponds to the emission of the photon with the shortest wavelength?

Solution

We’re being asked to determine which transition results in the emission of a photon with the shortest and 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. This rules out choices C, D and E. Recall that the energy of a photon is given by:


E = hv


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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