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According to Aufbau principle , the 19^(...

According to Aufbau principle , the `19^(th)` electron in an atom goes into the :-

A

(a)4s - orbital

B

(b)3d - orbital

C

(c)4p - orbital

D

(d)3p - orbital

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To determine where the 19th electron in an atom goes according to the Aufbau principle, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Aufbau Principle**: The Aufbau principle states that electrons occupy the lowest energy orbitals first before filling higher energy orbitals. 2. **Determine the Electron Configuration for 18 Electrons**: - The first 18 electrons fill the orbitals in the following order: - 1s² (2 electrons) - 2s² (2 electrons) - 2p⁶ (6 electrons) - 3s² (2 electrons) - 3p⁶ (6 electrons) - This gives us the electronic configuration: 1s² 2s² 2p⁶ 3s² 3p⁶. 3. **Identify the Next Orbitals to Fill**: - After filling the first 18 electrons, the next orbitals to consider are 3d and 4s. - We need to determine which of these orbitals has lower energy. 4. **Apply the n + l Rule**: - For the 3d orbital: - n = 3 (principal quantum number) - l = 2 (azimuthal quantum number for d) - Therefore, n + l = 3 + 2 = 5. - For the 4s orbital: - n = 4 - l = 0 (azimuthal quantum number for s) - Therefore, n + l = 4 + 0 = 4. 5. **Compare Energies**: - According to the n + l rule, the lower the value of n + l, the lower the energy of the orbital. - Since 4s (n + l = 4) has a lower energy than 3d (n + l = 5), the 4s orbital will be filled before the 3d orbital. 6. **Conclusion**: - Thus, the 19th electron will enter the 4s orbital. ### Final Answer: The 19th electron in an atom goes into the **4s orbital**.
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