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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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