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: Consider the following portion of the energy-level diagram for hydrogen:n = 4   –0.1361 × 10 –18  Jn = 3   –0.2420 × 10 –18  Jn = 2   –0.5445 × 10 –18  Jn = 1   –2.178 × 10 –18  JFor which of the following transitions does the light emitted have the longest wavelength?A. n = 4 to n = 1B. n = 4 to n = 2C. n = 4 to n = 3D. n = 3 to n = 2E. n = 2 to n = 1

Problem

Consider the following portion of the energy-level diagram for hydrogen:

n = 4   –0.1361 × 10 –18  J

n = 3   –0.2420 × 10 –18  J

n = 2   –0.5445 × 10 –18  J

n = 1   –2.178 × 10 –18  J

For which of the following transitions does the light emitted have the longest wavelength?

A. n = 4 to n = 1

B. n = 4 to n = 2

C. n = 4 to n = 3

D. n = 3 to n = 2

E. n = 2 to n = 1

Solution

We’re being asked to determine which energy gap gives the longest wavelength. Recall that starting from n = 1, the distance between each energy level gets smaller as shown below:



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