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Chapter 7: Problem 62

What is the total number of electrons that can be held in all orbitals having the same principal quantum number \(n ?\)

Short Answer

Expert verified
The total number of electrons that can be held in all orbitals having the same principal quantum number \(n\) is calculated by the formula \(2n^2\).

Step by step solution

01

Determine the Principal Quantum Number

Let's say \(n\) is the principal quantum number and it will be given in the exercise.
02

Apply the Electron Capacity Formula

The electron capacity for the shell can be determined by applying the electron capacity formula which is \(2n^2\).
03

Calculate the Total Electrons

Substitute the value of \(n\) into the formula \(2n^2\) to get the total number of electrons that can be held in all orbitals having the same principal quantum number \(n\).

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Most popular questions from this chapter

Give the high and low wavelength values that define the visible region of the electromagnetic spectrum.

An electron in the hydrogen atom makes a transition from an energy state of principal quantum numbers \(n_{\mathrm{i}}\) to the \(n=2\) state. If the photon emitted has a wavelength of \(434 \mathrm{nm}\), what is the value of \(n_{\mathrm{i}}\) ?

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Use the Aufbau principle to obtain the ground-state electron configuration of selenium.
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