use the theoretical maximums to answer the following: how many electrons are needed to completely fill shell…

Explanation:

Step1: Recall electron - shell formula

The number of electrons in a shell is given by the formula $2n^{2}$, where $n$ is the shell number.

Step2: Calculate for shell 4

For $n = 4$, substitute into the formula: $2\times4^{2}=2\times16 = 32$.

Step3: Calculate for shell 5

For $n = 5$, substitute into the formula: $2\times5^{2}=2\times25 = 50$.

Answer:

1. E. 32
2. A. 50