First, we need to calculate the principal quantum number n for this electron, using the equation: E = (-13.60 eV) / (n x n) where E is the energy that is used to bound the electron (here, E = - 0.544 eV). - 0.544 eV = (-13.60 eV) / (n x n) n x n = (- 13.60 eV) / (- 0.544 eV) n x n = 25 n = 5
The orbital radius that is equal to the radius of a hydrogen atom is calculated using the equation: r = 0.053 nm x n x n r = 0.053 nm x 5 x 5 r = 0.053 nm x 25 r = 1.325 nm