Energy of an electron in the ground state of the hydrogen atom is `-2.18 xx 10^(-18)J`.Calculate the ionization enthalpy of atomic hydrogen in terms of `J mol^(-1)`.

Explanation

Ionization enthalpy is the amount of energy required to remove the electron from ground state to infinity. Energy of electron in ground state `=-2. 18 xx 10 ^(-18)J`
Energy of electron at infinity =0
`therefore` Energy required to remove electron `=0- (-2. 18)xx 10 ^(-18) J = 2. 18 J`
Amount of energy required to remove 1 mol of electrons from 1 mol of H atoms
`= 2. 18 xx 10 ^(-18) xx 6. 022 xx 10 ^(23)`
`therefore` Ionization enthalpy of hydrogen `= 13. 130 xx 10 ^(5) J mol ^(-1)`
` = 13. 13 xx 10 ^(5) J mol ^(-1).`