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Among the following series of transition...

Among the following series of transition metal ions the one where all metal ions have `3d^2` electronic configuration is

A

`Ti^(2+), V^(3+), Cr^(4+), Mn^(5+)`

B

`Ti^(3+), V^(2+), Cr^(3+), Mn^(4+)`

C

`Ti^(+), V^(4+), Cr^(6+), Mn^(7+)`

D

`Ti^(4+), V^(3+), Cr^(2+), Mn^(3+)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question of which series of transition metal ions have the electronic configuration of `3d^2`, we will follow these steps: ### Step 1: Identify the Ground State Electronic Configurations First, we need to determine the ground state electronic configurations of the transition metals involved. The relevant transition metals and their atomic numbers are: 1. **Titanium (Ti)** - Atomic number 22 - Electronic configuration: `Ar 3d^2 4s^2` 2. **Vanadium (V)** - Atomic number 23 - Electronic configuration: `Ar 3d^3 4s^2` 3. **Chromium (Cr)** - Atomic number 24 - Electronic configuration: `Ar 3d^5 4s^1` 4. **Manganese (Mn)** - Atomic number 25 - Electronic configuration: `Ar 3d^5 4s^2` ### Step 2: Determine the Required Electron Removal for `3d^2` Next, we will analyze how many electrons need to be removed from each metal to achieve the `3d^2` configuration. 1. **Titanium (Ti)**: - Starting configuration: `Ar 3d^2 4s^2` - To achieve `3d^2`, remove 2 electrons from the `4s` orbital. - Resulting ion: `Ti^2+` with configuration `Ar 3d^2`. 2. **Vanadium (V)**: - Starting configuration: `Ar 3d^3 4s^2` - To achieve `3d^2`, remove 1 electron from `3d` and 2 from `4s`. - Total electrons removed: 3. - Resulting ion: `V^3+` with configuration `Ar 3d^2`. 3. **Chromium (Cr)**: - Starting configuration: `Ar 3d^5 4s^1` - To achieve `3d^2`, remove 1 electron from `4s` and 3 from `3d`. - Total electrons removed: 4. - Resulting ion: `Cr^4+` with configuration `Ar 3d^2`. 4. **Manganese (Mn)**: - Starting configuration: `Ar 3d^5 4s^2` - To achieve `3d^2`, remove 2 electrons from `4s` and 3 from `3d`. - Total electrons removed: 5. - Resulting ion: `Mn^5+` with configuration `Ar 3d^2`. ### Step 3: Conclusion All the ions that we have analyzed (Ti^2+, V^3+, Cr^4+, Mn^5+) have the `3d^2` electronic configuration. Therefore, the series of transition metal ions where all metal ions have `3d^2` electronic configuration is: **Answer: A (Ti^2+, V^3+, Cr^4+, Mn^5+)** ---
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