Potassium (K): $1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{1}$ Identify the core electrons and valence electrons.
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Answer

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Step 1:
I'll solve this problem step by step, carefully following the LaTeX formatting guidelines:

Step 2:
: Understand the Electron Configuration

The electron configuration for Potassium (K) is $$1s^{2} 2s^{2} 2p^{6} 3s^{2} 3p^{6} 4s^{1}

Step 3:
: Identify Core Electrons

Total core electrons: $$2 + 8 + 8 = 18$$ core electrons
Core electrons are the inner shell electrons that do not participate in chemical bonding. These are the electrons in the completely filled inner shells:

Step 4:
: Identify Valence Electrons

Total valence electrons: $$1$$ valence electron
Valence electrons are the electrons in the outermost shell that participate in chemical bonding.

Final Answer

- Core Electrons: 18 - Valence Electrons: 1