Question

Calculate the energy required for the process: He⁺ (g) → He²⁺ (g) + e⁻ ,The ionization energy for the H atom in the ground state is 2.18 x 10⁻¹⁸ J atom ⁻¹

Answer 1

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Energy associated with hydrogen-like species is given by,


Answer 2

For H like particles, En = - 2π2mZ2e4/n2h2

For H iota

I.E = E – E1 = 0 – (- 2π2me4/12h2)

= 2π2me4/h2

= 2.18x 10-18J/molecule (given)

For the given procedure, vitality required

= En – E1 = 0 - ( - 2π2me4/12h2)

= 4 x 2π2me4/h2

= 4 x 2.18 x 10-18J

= 8.72 x 10-18 J.

Answer 3

For H like particles, En = - 2π2mZ2e4/n2h2

For H iota

I.E = E – E1 = 0 – (- 2π2me4/12h2)

= 2π2me4/h2

= 2.18x 10-18J/molecule (given)

For the given procedure, vitality required

= En – E1 = 0 - ( - 2π2me4/12h2)

= 4 x 2π2me4/h2

= 4 x 2.18 x 10-18J

= 8.72 x 10-18 J.