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: Solving the Rydberg equation for energy change gives ΔE = R∞hc [1/n12 - 1/n22] where the Rydberg constant R∞ for hydrogen-like atoms is 1.097 x 107 m-1 Z2, and Z is the atomic number. (a) Calculate

Problem

Solving the Rydberg equation for energy change gives

ΔE = Rhc [1/n12 - 1/n22]

where the Rydberg constant R∞ for hydrogen-like atoms is 1.097 x 107 m-1 Z2, and Z is the atomic number.

(a) Calculate the energies needed to remove an electron from the n = 2 state and the n = 6 state in the Li2+ ion.

n = 2  ____ x 10___ J                n = 6  ____ x 10___ J

(Enter your answer in scientific notation.)

(b) What is the wavelength (in nm) of the emitted photon in a transition from n = 6 to n = 2?

_____ nm