According to the Bohr theory of the hydrogen atom, what is the minimum energy (in J) needed to ionize a hydrogen atom from the #n# = 2 state?

1 Answer
Nov 4, 2016

Answer:

Minimum energy needed to ionize an electron from #2^(nd)# Bohr orbit of hydrogen atom is #5.45xx10^(-19)# J/atom.

Explanation:

In Joules per atom, minimum energy needed to ionize an electron from #n^(th)# Bohr orbit of a hydrogen atom is represented by the formula :
#E_n=-(2.18xx10^(-18))/n^2# J/atom.

Therefore, minimum energy needed to ionize an electron from #2^(nd)# Bohr orbit of hydrogen atom is,
#E_2=# #-(2.18xx10^(-18))/2^2# J/atom #=-(2.18xx10^(-18))/4# J/atom
#:.E_2=-0.545xx10^(-18)# J/atom #=5.45xx10^(-19)# J/atom. (answer).