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One method for calculating $Z_{eff}$ is to use the equation:
$Z_{eff} = \sqrt{\frac{(E) (n^{2})}{1312 kJ / mole}}$
Where E is the energy necessary to remove an electron from an atom and n is the principal quantum number of the electron. Use this equation to calculate $Z_{eff}$ a value for the highest energetic electron in potassium. $E = 418.8 kJ / mole$

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2.86

2.26

3.26

2.00

answer is B.

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Detailed Solution

Given,

$E = 418.8 kJ / mole$

The principal quantum number is, n=4

The formula for finding the Z effect is,

$Z_{eff} = \sqrt{\frac{(E) (n^{2})}{1312 kJ / mole}}$

Substitute the given values,

$Z_{eff} = \sqrt{\frac{418.8}{1312} \times 4^{2}}$

$Z_{eff} = = 2.26$

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