A helium ion with a single electron (denoted He+) is in an excited state with radius...

A helium ion with a single electron (denoted He⁺) is in an excited state with radius the same as that of the ground state of hydrogen.

(a) What is n for the He¹⁺ ion?

(b) How much energy in eV is needed to ionize the ion from this excited state?
eV

Solutions

Expert Solution

a)radius of the ground state of hydrogen = 0.53 A⁰ ; where 1 A⁰ = 10^-10 m

therefore, 0.53*10^-10 = ( 0.53*10^-10)*(Z²/n²)

or, n = 2

thus, the n value = 2 for He+ ion

b) ionization energy = 13.6(Z²/n²) eV = 13.6 eV

genius_generous answered 1 year ago

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