Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

if a shell can hold a maximum of 32 electrons, what is the value of n? …

Question

if a shell can hold a maximum of 32 electrons, what is the value of n?
○ 2
○ 3
○ 4
○ 5

Explanation:

Step1: Recall electron shell formula

The maximum number of electrons in a shell \( n \) is given by the formula \( 2n^2 \).

Step2: Set up equation

We know the maximum electrons are 32, so set \( 2n^2 = 32 \).

Step3: Solve for \( n \)

Divide both sides by 2: \( n^2=\frac{32}{2}=16 \). Then take the square root: \( n = \sqrt{16}=4 \).

Answer:

4 (corresponding to the option "4")