Q. 343.7( 22 Votes )

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 :

Given:

Ground State Energy = 2.18 × 10–18 J atom–1


The energy of hydrogen atom is given by the following equation:


En = -2n2me4Z2/n2h2


Where


m = mass of electrons


Z = atomic mass of atom


E = charge of electron


h = Planck’s constant


For the process mentioned in the question, energy required = En– E1


= 0 – [-2n2me4 / 12h2]


= 4 × 2n2me4/h2


But we know 2n2me4/h2 = 2.18 × 10-18J


= 4 × 2.18 × 10-18


= 8.72 × 10-18J


Therefore, the energy required for the process is 8.72 × 10-18J


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