If the maximum value of principal quantum number for an atom is four, then the total number of electrons in the atom will be:
Answer: 32
Explanation
The maximum number of electrons in an atom is given by the formula:
Total electrons = 2n²
For n = 4:
2(1² + 2² + 3² + 4²) = 2(1 + 4 + 9 + 16) = 2(30) = 60
But this is a misunderstanding. Each shell holds:
- n=1: 2
- n=2: 8
- n=3: 18
- n=4: 32
So total = 2 + 8 + 18 + 32 = 60, but this is not per atom.
If n = 4 is the maximum principal quantum number, then the 4th shell is being filled.
The maximum number of electrons that can exist in the 4th shell is:
2n² = 2(4)² = 32
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