Question

How much more energy does it take to remove an electron in the ground state of helium (with one electron) compared to an electron in the ground state of hyrdrogen?

please show step by step, thank you!

Answer 1

Energy of an electron in nth orbit of hydrogen atom is = E =

Energy of an electron in nth orbit of hydrogenic atom is = E = [where Z = atomic no of hydrogenic atom]

Now, E1 = energy of electron in ground state (n = 1) of hydrogen atom =

E2 = energy of electron in ground state(n =1) of helium (with one elctron) (Z = 2 for Helium) =

The energy difference = E1 - E2 = 54.4 - 13.6 = 40.8 eV

40.8 eV more energy is required to remove an electron in the ground state of helium (with one electron) compared to an electron in the ground state of hyrdrogen. [answer]