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Chapter 6: Q6.8CYL. (page 309)

If a shell contains a maximum of 32 electrons, what is the principal quantum number,n?

Short Answer

Expert verified

The value of \(n = 4\).

Step by step solution

01

The maximum number of electrons in a shell

The maximum number of electrons in a shell can be calculated by using the formula\({\bf{2}}{{\bf{n}}^{\bf{2}}}\).

By using this formula, the “n” value can be determined.

02

The value of “n”

The maximum number of electrons in the given shell are 32.

The maximum number of electrons in a shell are\(2{n^2}\).

Hence,

\(\begin{aligned}2{n^2} = 32\\{n^2} = 16\\n = \sqrt {16} \\n = 4\end{aligned}\)

Thus, the value of “n” is four.

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Most popular questions from this chapter

Question: Based on their positions in the periodic table, predict which has the smallest atomic radius: Mg, Sr, Si, Cl, I.

Question:Consider the orbitals shown here in the outline.

(a) What is the maximum number of electrons contained in an orbital of type (x)? Of type (y)? Of type (z)?

(b) How many orbitals of type (x) are found in a shell withn= 2? How many of type (y)? How many of type (z)?

(c) Write a set of quantum numbers for an electron in an orbital of type (x) in a shell withn= 4. Of an orbital of type

(y) in a shell withn= 2. Of an orbital of type (z) in a shell withn= 3.

(d) What is the smallest possiblenvalue for an orbital of type (x)? Of type (y)? Of type (z)?

(e) What are the possiblelandmlvalues for an orbital of type (x)? Of type (y)? Of type (z)?

Question: State the Heisenberg uncertainty principle. Describe briefly what the principle implies.

Describe the properties of an electron associated with each of the following four quantum numbers:n,l,ml, andms.

How are the Bohr model and the quantum mechanical model of the hydrogen atom similar? How are they

different?
See all solutions

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