What is the radius of a hydrogen atom whose electron is bound by 0.544 ev? express your answer with the appropriate units?

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