the energy associated with the first orbit in the hydrogen atom is `-2.18xx 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

`E_(n)=(-2.17xx10^(-18))/(n^(2))=J atm^(-1)`
`IE=E_(oo)-E_(5)=0-(-(2.17xx10^(-18))/((5^(2))))`
`=(2.17xx10^(-18))/(25)=8.72xx10^(-20)J`
b. `r_(n)=n^(2)r_(1)`
`r_(5)=(5)^(2)xx0.053 nm`
`=25xx0.053 nm`
`=1.325 nm`