Number of electrons of maganese with magnetic quantum number value '0' is

Options

A. 1
B. 8
C. 12
D. 13

Explanation

To determine the number of electrons in manganese (Mn) that have a magnetic quantum number (m) value of '0', we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Atomic Number of Manganese**:
- Manganese has an atomic number of 25. This means it has 25 electrons.

2. **Write the Electron Configuration**:
- The electron configuration for manganese is:
- 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d⁵
- This configuration shows how the electrons are distributed across the various atomic orbitals.

3. **Understand the Magnetic Quantum Number**:
- The magnetic quantum number (m) can take values from -l to +l, where l is the azimuthal quantum number (orbital angular momentum quantum number).
- For the different types of orbitals:
- s-orbital (l = 0): m = 0
- p-orbital (l = 1): m = -1, 0, +1
- d-orbital (l = 2): m = -2, -1, 0, +1, +2

4. **Count Electrons with m = 0**:
- **From 1s²**: 2 electrons (m = 0)
- **From 2s²**: 2 electrons (m = 0)
- **From 2p⁶**: 2 electrons (m = 0)
- **From 3s²**: 2 electrons (m = 0)
- **From 3p⁶**: 2 electrons (m = 0)
- **From 3d⁵**: 1 electron (m = 0, as it can be -2, -1, 0, +1, +2)

5. **Total Count of Electrons with m = 0**:
- Adding them up:
- 2 (from 1s) + 2 (from 2s) + 2 (from 2p) + 2 (from 3s) + 2 (from 3p) + 1 (from 3d) = 11 electrons.

### Final Answer:
The number of electrons in manganese with a magnetic quantum number value of '0' is **11**.

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