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Chapter 7: Problem 61

Calculate the total number of electrons that can occupy (a) one \(s\) orbital, (b) three \(p\) orbitals, (c) five \(d\) orbitals, (d) seven \(f\) orbitals.

Short Answer

Expert verified
The total number of electrons that can occupy (a) one s orbital is 2, (b) three p orbitals is 6, (c) five d orbitals is 10, and (d) seven f orbitals is 14.

Step by step solution

01

Calculate for s orbital

An s orbital holds a maximum of 2 electrons. Since we have 1 s orbital, the total number of electrons is \(1 * 2 = 2\).
02

Calculate for p orbitals

A p orbital holds a maximum of 2 electrons. Since we have 3 p orbitals, we multiply the maximum capacity of a p orbital by the number of p orbitals. Thus the total number of electrons is \(3 * 2 = 6\).
03

Calculate for d orbitals

A d orbital holds a maximum of 2 electrons. Since we have 5 d orbitals, we multiply the maximum capacity of a d orbital by the number of d orbitals. Thus the total number of electrons is \(5 * 2 = 10\).
04

Calculate for f orbitals

An f orbital holds a maximum of 2 electrons. Since we have 7 f orbitals, we multiply the maximum capacity of an f orbital by the number of f orbitals. Thus, the total number of electrons is \(7 * 2 = 14\).

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