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The general electronic configuration of ...

The general electronic configuration of outer most and penultimate shell is given as `(n-1)s^2(n-1)p^6(n-1)d^x ns^2`. Then for an element with `n = 4` and `x = 7`
The number of protons present in the divalent cation of the element of above configuration is 

A

25

B

26

C

27

D

28

Text Solution

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The correct Answer is:
To solve the problem, we need to determine the number of protons present in the divalent cation of an element with the given electronic configuration `(n-1)s^2(n-1)p^6(n-1)d^x ns^2`, where `n = 4` and `x = 7`. ### Step-by-Step Solution: 1. **Identify the Value of n**: Given that `n = 4`, we will substitute this value into the electronic configuration. 2. **Substitute n and x into the Configuration**: The electronic configuration becomes: - For `n = 4`: - `(n-1)s^2` becomes `3s^2` - `(n-1)p^6` becomes `3p^6` - `(n-1)d^x` becomes `3d^7` - `ns^2` becomes `4s^2` - Therefore, the complete electronic configuration is: \[ 3s^2 3p^6 3d^7 4s^2 \] 3. **Determine the Total Number of Electrons**: - The total number of electrons in this configuration can be calculated as follows: - From `3s^2`: 2 electrons - From `3p^6`: 6 electrons - From `3d^7`: 7 electrons - From `4s^2`: 2 electrons - Total = \(2 + 6 + 7 + 2 = 17\) electrons. 4. **Calculate the Atomic Number**: - The atomic number (Z) of an element is equal to the number of protons in a neutral atom, which is also equal to the number of electrons in a neutral atom. - Therefore, the atomic number of the element is 17, meaning it has 17 protons. 5. **Determine the Number of Protons in the Divalent Cation**: - A divalent cation means that the element has lost 2 electrons. - Therefore, the number of protons remains the same, which is 17. ### Final Answer: The number of protons present in the divalent cation of the element is **17**.
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