(i) The energy associated with the first orbit in the hydrogen atom is `-2.17 xx 10^(18) J atom^(-1)`. What is the energy associated with the fifth orbit?
(ii) Calculate the radius of Bohr's fifth orbit for hydrogen atom.

Explanation

(i) Energy associated with nth orbit in hydrogen atom is
`E_n = (2.17 xx 10^(-18) J)/(n^2) "atom"^(-1)`
`:.` Energy associated with 5th orbit,
`E_5 = (2.17 xx 10^(-18) J)/(5^2)`
`= -8.68 xx 10^(-20) J`
(ii) Radius of Bohr.s nth orbit is given as :
`r_n = 0.0529 n^2 nm`
`:.` For n =5
`r_5 = 0.0529 xx (5)^(2) nm = 1.3225 nm`