Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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
Transcribed Image Text:### Quantum Theory and Orbital Question
#### Multiple-Choice Question:
According to the quantum theory, how many \( (d) \) orbitals are there in the \( n = 4 \) shell?
**Options:**
- a. 1
- b. 3
- c. 5
- d. 7
- e. d orbitals are not allowed in the \( n = 4 \) shell.
#### Detailed Explanation:
In the context of quantum theory, the principal quantum number \( n \) can have any positive integer value. The \( n = 4 \) shell can have \( s \), \( p \), \( d \), and \( f \) orbitals:
- **1** \( s \) orbital
- **3** \( p \) orbitals
- **5** \( d \) orbitals
- **7** \( f \) orbitals
Therefore, the correct answer to this question is **c. 5**.
This exercise is part of learning the distribution of electrons in atomic orbitals according to quantum mechanical principles.
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