Answer
Both Na and K are expected to experience the effective nuclear charge $Z_{eff}=+1$
Work Step by Step
1) $Na$:
The nuclear charge of Na is $Z=+11$.
There are 10 core electrons and 1 valence electrons. Each core electron contributes 1.00 and each valence electron contributes 0.00 to the screening constant. Therefore, $S=10\times1.00+1\times0.00=10$
Therefore, the effective nuclear charge of Na is $$Z_{eff}=Z-S=+11-10=+1$$
2) $K$:
The nuclear charge of K is $Z=+19$.
There are 18 core electrons and 1 valence electrons. Each core electron contributes 1.00 and each valence electron contributes 0.00 to the screening constant. Therefore, $S=18\times1.00+1\times0.00=18$
Therefore, the effective nuclear charge of K is $$Z_{eff}=Z-S=+19-18=+1$$
