Question 34

Calculate the energy required for the process

The ionization energy for the H atom in the ground state is 2.18 ×10–18 J atom–1

Answer

For H like particles,

En = - 2π2mZ2e/ n2h2

For H atom  I.E = E – E1 = 0 – (- 2π2me/ 12h2) = 2π2me/ h2

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

For the given process, energy required = En – E1

= 0 -  ( - 2π2me/ 12h2)

= 4 x 2π2me/ h2

= 4 x 2.18 x 10-18J

= 8.72 x 10-18 J

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