Final answer:
The energy for the transition of an electron from the n = 5 level to the n = 4 level of a hydrogen atom is -0.159 eV.
Step-by-step explanation:
The energy for the transition of an electron from the n = 5 level to the n = 4 level of a hydrogen atom can be calculated using the formula:

Plugging in the values, we get:
ΔE = -13.6 eV * (1/16 - 1/25) = -0.159 eV
Therefore, the energy for the electron transition is -0.159 eV.