Question

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A cobalt ion with a single electron (denoted Co26+) is in an excited state with radius...

A cobalt ion with a single electron (denoted Co²⁶⁺) is in an excited state with radius the same as that of the ground state of hydrogen.

(a) What is n for the Co²⁶⁺ ion?

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

Expert Solution

a)

Atomic number of Cobalt

Let there be protons in the nucleus and a single electron orbiting the nucleus.

Radius of circular orbit is .

Using the Bohr model, radius of the n th state is

Radius of the ground state of hydrogen atom is ( n=1 and Z =1)

Hence

For the above Cobalt ion, radius = radius of ground state hydrogen atom.

that is

b)

Energy of an electron in the n th level is

Energy needed to ionize the ion from this excited state is

genius_generous answered 2 years ago

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