How many electrons with l=2 are there in an atom having atomic number 22 ?

Options

A. 1
B. 2
C. 3
D. None of these

Answer

To determine how many electrons with \( l = 2 \) are present in an atom with an atomic number of 22, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Atomic Number**: The atomic number (Z) of the atom is given as 22. This means the atom has 22 electrons.

2. **Determine the Electron Configuration**: We need to write the electron configuration for the element with atomic number 22.
- The electron configuration is built by filling the orbitals in order of increasing energy levels, following the Aufbau principle.
- The order of filling is:
- 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, etc.
- For atomic number 22, the electron configuration is:
- \( 1s^2 \) (2 electrons)
- \( 2s^2 \) (2 electrons)
- \( 2p^6 \) (6 electrons)
- \( 3s^2 \) (2 electrons)
- \( 3p^6 \) (6 electrons)
- \( 4s^2 \) (2 electrons)
- \( 3d^2 \) (2 electrons)

Thus, the complete electron configuration for atomic number 22 (Titanium) is:
\[ \text{Ti: } 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^2 \]

3. **Identify the Electrons in the d-Orbital**: The azimuthal quantum number \( l = 2 \) corresponds to the d-orbitals. From the electron configuration, we can see that the \( 3d \) subshell contains 2 electrons.

4. **Conclusion**: Therefore, the number of electrons with \( l = 2 \) in an atom with atomic number 22 is **2**.

### Final Answer:
The number of electrons with \( l = 2 \) in an atom having atomic number 22 is **2**.

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