The maximum number of electrons that can be contained in each energy level can be determined using the formula \(2n^2\), where \(n\) is the principal quantum number (the energy level).
a) First energy level (n = 1):
\(2(1)^2 = 2\) electrons
b) Second energy level (n = 2):
\(2(2)^2 = 8\) electrons
c) Third energy level (n = 3):
\(2(3)^2 = 18\) electrons
d) Fourth energy level (n = 4):
\(2(4)^2 = 32\) electrons
So the answers are:
a) 2 electrons
b) 8 electrons
c) 18 electrons
d) 32 electrons