Energy of electron -52.53kilo joule per mole is for?

Energy, E = -52.53 kJ/mol = -52530 J/mol
Avogadro constant, L = 6.022 × 10²³ /mol
Rydberg constant, R = 1.097 × 10⁷ /m
Planck constant, h = 6.626 × 10⁻³⁴ J s
Speed of light, c = 3.00 × 10⁸ m/s

E = -Lhc/λ and 1/λ = R/n²
Then, E = -LhcR/n²

n = √-(LhcR/E)
= √[-(6.022 × 10²³) × (6.626 × 10⁻³⁴) × (3.00 × 10⁸) × (1.097 × 10⁷) / (-52530)]
= 5

The answer: fifth orbit of hydrogen