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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 鈥渘鈥� 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 鈥渘鈥� is four.

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