Final answer:
The total energy of an electron in a hydrogen atom can be calculated using the formula E_total = -13.6/n^2, where n is the principal quantum number representing the energy level or shell of the electron.
Step-by-step explanation:
The total energy of an electron in a hydrogen atom can be calculated using the formula:
Etotal = -13.6/n2
Where n is the principal quantum number representing the energy level or shell of the electron. In this case, since the question provides the radius of the orbit, we can calculate the value of n.
Using the formula for the Bohr radius, r = 0.529 Å x n2, where r is the radius of the orbit in angstroms, we can rearrange the formula to solve for n. Plugging in the given radius, we find that n = 3.
Therefore, substituting the value of n into the formula for the total energy, we get: Etotal = -13.6/32.
Calculating this expression results in Etotal = -1.51 eV.
Learn more about total energy