How much energy is required to ionise a hydrogen atom if an electron occupies n = 5 orbit? Compare your answer with the ionisation energy of H atom (energy required to remove the electron from n = 1 orbit)

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    Answered by

    Payal Gupta | Contributor-Level 10

    3 months ago

    Energy of a hydrogen present in a particular energy shell,

    En = 13.12 x 105 / n2 J mol-1 = (13.12 x 105) / (n2 x 6. 022 x 1023) J atom-1

    = -2.18 x 10-18 / n2 J atom-1

    Step I: Ionisation energy for hydrogen electron present in orbit n = 5

    IE5 = E - E5 = 0 – [ (-2.18 x 10-18) / 25] J atom-1 = 8.72 x 10-20 J atom-1

    Step II: Ionisation energy for hydrogen electron present in orbit n = 1

    IE1 = E - E1 = 0 – [ (-2.18 x 10-18) / 1] J atom-1 = 2.18 x 10-18 J atom-1

    Therefore IE1 / IE5 = (2.18 x 10-18 J atom-1) / (8.72 x 10-20 J atom-1) = 25

    The energy required to remove an electron from first orbit in a hydrogen atom is 25 ti

    ...more

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