Multiple Choice
How many unpaired electrons are present in the ground state of a krypton (Kr) atom?
3
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10. Periodic Properties of the Elements
The Electron Configuration
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How many d orbitals are present when the principal quantum number n = 4?
A
10
B
7
C
5
D
3
Verified step by step guidance1
Recall that the number of orbitals for a given subshell type (s, p, d, f) depends on the azimuthal quantum number \( l \). For d orbitals, \( l = 2 \).
The principal quantum number \( n \) indicates the energy level or shell, and for \( n = 4 \), the possible values of \( l \) are \( 0, 1, 2, 3 \) corresponding to s, p, d, and f subshells respectively.
The number of orbitals in any subshell is given by the formula \( 2l + 1 \). For \( l = 2 \) (d orbitals), calculate the number of orbitals as \( 2 \times 2 + 1 \).
This calculation gives the total number of d orbitals present in the \( n = 4 \) shell.
Remember that each orbital can hold up to 2 electrons, but the question only asks for the number of orbitals, not electrons.
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