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The electronic configuration of an eleme...

The electronic configuration of an element is `1s^(2) 2s^(2) 2p^(6) 3s^(2) 3p^(3)`. What is the atomic number of the element which is just below the above element in the periodic table ?
49
31
34
33

A

49

B

31

C

34

D

33

Text Solution

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The correct Answer is:
To find the atomic number of the element that is just below the given element in the periodic table, we can follow these steps: ### Step 1: Determine the Atomic Number of the Given Element The electronic configuration provided is: \[ 1s^2 \, 2s^2 \, 2p^6 \, 3s^2 \, 3p^3 \] To find the atomic number, we need to count the total number of electrons in this configuration. The atomic number is equal to the total number of electrons. - \( 1s^2 \): 2 electrons - \( 2s^2 \): 2 electrons - \( 2p^6 \): 6 electrons - \( 3s^2 \): 2 electrons - \( 3p^3 \): 3 electrons Now, we add these together: \[ 2 + 2 + 6 + 2 + 3 = 15 \] Thus, the atomic number of the element is **15**. ### Step 2: Identify the Element Below in the Periodic Table The element with atomic number 15 is phosphorus (P), which has the configuration ending in \( 3p^3 \). The element just below phosphorus will have its last electrons in the \( 4p \) subshell. The electronic configuration of the element just below phosphorus will be: \[ 1s^2 \, 2s^2 \, 2p^6 \, 3s^2 \, 3p^6 \, 4s^2 \, 3d^{10} \, 4p^3 \] ### Step 3: Calculate the Atomic Number of the Element Below To find the atomic number of the element below phosphorus, we can count the electrons in the new configuration: - \( 1s^2 \): 2 electrons - \( 2s^2 \): 2 electrons - \( 2p^6 \): 6 electrons - \( 3s^2 \): 2 electrons - \( 3p^6 \): 6 electrons (fully filled) - \( 4s^2 \): 2 electrons - \( 3d^{10} \): 10 electrons - \( 4p^3 \): 3 electrons Now, we add these together: \[ 2 + 2 + 6 + 2 + 6 + 2 + 10 + 3 = 33 \] Thus, the atomic number of the element just below phosphorus is **33**. ### Conclusion The atomic number of the element which is just below the element with the electronic configuration \( 1s^2 \, 2s^2 \, 2p^6 \, 3s^2 \, 3p^3 \) is **33**.
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