Question

Consider a Hydrogen atom with the electron in the n = 7 shell. What is the energy of this system? (The magnitude of the ground state energy of the Hydrogen atom is 13.6 eV.) Tries 0/20 How many subshells are in this shell? Tries 0/20 How many electron orbits are in this main shell? Tries 0/20 How many electrons would fit in this main shell?

Answer 1

a)
Electron energy is given by E = Ground State Energy / n^2
where n = Orbit Number

E = 13.6ev / 7^2
E = - 0.278 ev

b) Sub shells with unique value of l = 7

c) For n = 7 Shell. Electron oribits in the main shell is given by =
[{2*0+1} +{(2*1)+1}+{(2*2)+1}+{(2*3)+1} + {(2*4)+1}+{(2*5)+1}+{(2*6)+1}+{(2*7)+1}] = [1+3+5+7+9+11+13} = 49

d)
Electrons that would fit in the main shell = 2*n^2
Electrons that would fit in the main shell = 2*7^2
Electrons that would fit in the main shell = 98