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The correct set of four quantum numbers for the valence electron of K atom is

Question

The correct set of four quantum numbers for the valence electron of K atom is

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Solution

The potassium atom (K) has an atomic number of 19. This means it has 19 electrons in its neutral state. The electron configuration of K is [Ar] 4s¹.

The four quantum numbers that define the state of a valence electron are:

  1. Principal Quantum Number (n): This number corresponds to the size and energy of the orbital. For the valence electron of K, n = 4.

  2. Azimuthal Quantum Number (l): This number defines the shape of the orbital. For an s orbital, l = 0.

  3. Magnetic Quantum Number (ml): This number describes the orientation of the orbital in space. For an s orbital, ml can only be 0.

  4. Spin Quantum Number (ms): This number describes the spin of the electron. It can be +1/2 or -1/2. In a single electron orbital like 4s¹, the electron will usually be in the lower energy state of +1/2.

So, the correct set of four quantum numbers for the valence electron of a K atom is 4, 0, 0, +1/2.

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