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: How to calculate the de Broglie wavelength for each of the following? a. an electron with a velocity 10.% of the speed of light b. a tennis ball (55 g) served at 35 m/s (,80 mi/h)

Problem

How to calculate the de Broglie wavelength for each of the following? 

a. an electron with a velocity 10.% of the speed of light 

b. a tennis ball (55 g) served at 35 m/s (,80 mi/h)

Solution

We’re being asked to calculate the de Broglie wavelength for:


a. an electron with a velocity 10% of the speed of light 

b. a tennis ball (55 g) served at 35 m/s (,80 mi/h)


Recall that the de Broglie wavelength (λ) can be calculated using:


λ=hmv


where:

h = Planck's constant (6.626 × 10–34 kg • m2/s)

m = mass (in kg)

v = velocity (in m/s). 


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