Answer
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Step 1:I'll solve this step-by-step following the specified LaTeX and formatting guidelines:
Step 2:: Identify the Element
Potassium (K) has the atomic number 19, which means it has 19 protons and 19 electrons in its neutral state.
Step 3:: Determine the Ion Charge
The problem specifies a K$$^{-}$$ ion, which means the atom has gained one electron.
So we'll write the configuration for 20 electrons.
Step 4:: Write the Electron Configuration
4s^{1}
To write the electron configuration, we'll fill orbitals in order of increasing energy:
Step 5:: Verify Total Electron Count
- $$4s^{1}$$: 1 electron
Let's count the electrons: Total: 20 electrons ✓
Final Answer
The electron configuration for K^{-} is 1s^{2} 2s^{2} 2p^{6} 3s^{2} 3p^{6} 4s^{1}.
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