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How many subshells and electrons are associated with n = 4?

  • a)
    32, 64

  • b)
    16, 32

  • c)
    4, 16

  • d)
    8, 16

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
How many subshells and electrons are associated with n = 4?a)32, 64b)1...
For nth orbital possible values of azimuthal quantum number (subshell), l are from 0 to (n-1). Total of 'n' values.


In n=4, l=0,1,2,3 thus there are 4 subshells i.e.s,p,d,f respectively.


Magnetic quantum number ml have values from -l to +l and total of 2l+1 values.


For n=4, possible values of l and ml are:


ml=0 for l=0; total ml values =1


ml=−1,0,1 for l=1; total ml values =3


ml=−2,−1,0,1,2 for l=2; total ml values =5


ml=−3,−2,−1,0,1,2,3 for l=3; total ml values =7


Total number of orbitals = total values of ml


for n=4,


∴1+3+5+7=16 orbitals


Each orbital can occupy maximum of two electron


Number of electrons =2×16=32


Therefore in n=4, number of subshells=4, orbitals=16 and number of electrons =32.
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Community Answer
How many subshells and electrons are associated with n = 4?a)32, 64b)1...
The question asks about the number of subshells and electrons associated with the principal quantum number (n) of 4.

Principal Quantum Number (n):
- The principal quantum number (n) describes the size and energy level of an electron's orbital.
- It can have integer values starting from 1 and increases in increments of 1.
- Each value of n corresponds to a different energy level or shell.

Subshells:
- Subshells are subdivisions within a shell and are represented by the letters s, p, d, and f.
- The number of subshells in a shell is equal to the value of n.
- For example, if n = 4, there will be 4 subshells.

Electrons:
- Electrons are distributed in subshells and orbitals within a shell according to certain rules.
- Each subshell can hold a specific number of electrons.
- The maximum number of electrons in a subshell can be calculated using the formula 2n^2, where n is the principal quantum number.
- For example, if n = 4, the maximum number of electrons in each subshell is 2(4^2) = 32.

Explanation:
According to the given options, the correct answer is option 'B' which states that there are 16 subshells and 32 electrons associated with n = 4.

To verify this answer, we can use the formula mentioned above:
- The number of subshells for n = 4 is indeed 4, as each value of n corresponds to a subshell.
- The maximum number of electrons in each subshell can be calculated using 2n^2:
- For the first subshell (s), n = 1, so the maximum number of electrons is 2(1^2) = 2.
- For the second subshell (p), n = 2, so the maximum number of electrons is 2(2^2) = 8.
- For the third subshell (d), n = 3, so the maximum number of electrons is 2(3^2) = 18.
- For the fourth subshell (f), n = 4, so the maximum number of electrons is 2(4^2) = 32.

Therefore, the correct answer is option 'B' which states that there are 16 subshells and 32 electrons associated with n = 4.
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