The maximum number of electrons accomodates in 5f orbitals

Options

A. 5
B. 0
C. 14
D. 18

Answer

To determine the maximum number of electrons that can be accommodated in the 5f orbitals, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Type of Orbital**: The 5f orbital is part of the f subshell. Each f subshell can hold a specific number of orbitals.

2. **Determine the Number of Orbitals in the f Subshell**: The f subshell contains a total of 7 orbitals. These orbitals are designated as:
- 5f₁, 5f₂, 5f₃, 5f₄, 5f₅, 5f₆, 5f₇.

3. **Calculate the Maximum Number of Electrons**: Each orbital can hold a maximum of 2 electrons (one with spin-up and one with spin-down). Therefore, to find the total number of electrons that can fit in the 5f subshell, we use the formula:
\[ \text{Total electrons} = \text{Number of orbitals} \times 2 \]
Substituting the values:
\[ \text{Total electrons} = 7 \text{ orbitals} \times 2 = 14 \text{ electrons} \]

4. **Conclusion**: The maximum number of electrons that can be accommodated in the 5f orbitals is 14.

### Final Answer:
The maximum number of electrons that can be accommodated in 5f orbitals is **14**.

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