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The electronic configuration of an eleme...

The electronic configuration of an element with atomic number 24 is

A

`1s^2,2s^2,2p^6,3s^2,3p^6,3d^4,4s^2`

B

`1s^2,2s^2,2p^6,3s^2,3p^6,3d^10`

C

`1s^2,2s^2,2p^6,3s^2,3p^6,3d^6`

D

`1s^2,2s^2,2p^6,3s^2,3p^6,3d^5,4s^1`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the electronic configuration of the element with atomic number 24, which is Chromium (Cr), we will follow these steps: ### Step-by-Step Solution: 1. **Identify the Atomic Number**: The atomic number of the element is given as 24. This means that the element has 24 electrons. 2. **Write the Basic Electron Configuration**: - Start filling the orbitals according to the Aufbau principle, which states that electrons occupy the lowest energy orbitals first. - The order of filling is: - 1s, 2s, 2p, 3s, 3p, 4s, 3d. 3. **Fill the Orbitals**: - 1s can hold 2 electrons: **1s²** - 2s can hold 2 electrons: **2s²** - 2p can hold 6 electrons: **2p⁶** - 3s can hold 2 electrons: **3s²** - 3p can hold 6 electrons: **3p⁶** - Up to this point, we have filled 2 + 2 + 6 + 2 + 6 = 18 electrons. 4. **Continue Filling**: - Next, we fill the 4s orbital, which can hold 2 electrons: **4s²**. - Now we have filled 18 + 2 = 20 electrons. 5. **Fill the 3d Orbital**: - Now, we have 4 electrons left to place, which will go into the 3d orbital. However, Chromium is an exception to the typical filling order. - Instead of filling the 3d orbital with 4 electrons (which would be **3d⁴**), one electron from the 4s orbital is moved to the 3d orbital to achieve a more stable half-filled configuration. - Therefore, we have **3d⁵** instead of **3d⁴**. 6. **Final Electronic Configuration**: - Putting it all together, the electronic configuration of Chromium (Cr) with atomic number 24 is: - **1s² 2s² 2p⁶ 3s² 3p⁶ 4s¹ 3d⁵**. ### Final Answer: The electronic configuration of the element with atomic number 24 (Chromium) is **1s² 2s² 2p⁶ 3s² 3p⁶ 4s¹ 3d⁵**. ---
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