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: Suppose that in an alternate universe, the possible values of l are the integer values from 0 to n (instead of 0 to n - 1). Assuming no other differences between this universe and ours, how many orbitals would exist in each level in the alternate universe?n = 2

Solution: Suppose that in an alternate universe, the possible values of l are the integer values from 0 to n (instead of 0 to n - 1). Assuming no other differences between this universe and ours, how many orbit

Problem

Suppose that in an alternate universe, the possible values of l are the integer values from 0 to n (instead of 0 to n - 1). Assuming no other differences between this universe and ours, how many orbitals would exist in each level in the alternate universe?

n = 2

Solution

In this problem, we are asked to find the number of orbitals that would exist in an alternate universe in which the possible values of are the integer values from 0 to n (instead of 0 to n - 1), where n=2.


The angular momentum quantum number (l), also known as the azimuthal quantum number, tells us the shape of the electron orbitals.

  • It uses the variable with a formula of n-1.

The magnetic quantum number (mldeals with the orientation of the orbital in the space around the nucleus.

  • It is a range of the previous quantum number: -l to +l.


To solve this problem:

Step 1. List the possible values of the angular momentum quantum number.

Step 2. Determine the possible values of the magnetic quantum number.

Step 3. Count the total number of orbitals.


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