Q.
The figure below is the plot of potential energy versus internuclear distance (๐) of H2 molecule in the electronic ground state. What is the value of the net potential energy ๐ธ0 (as indicated in the figure) in kJ molโ1, for ๐=๐0 at which the electron-electron repulsion and the nucleus-nucleus repulsion energies are absent? As reference, the potential energy of H atom is taken as zero when its electron and the nucleus are infinitely far apart.ย Use Avogadro constant as 6.023 ร 1023 molโ1.
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answer is โ5246.49.
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Detailed Solution
At d = d0, nucleus-nucleus & electron-electron repulsion is absent.Hence potential energy will be calculated for 2 H atoms. (P.E. due to attraction of proton & electron)ย P.E.ย =โKq1q2r(Boharย radius)=9ร1091.6ร10โ1920.529ร10โ10=โ4.355ร10โ21kJFor 1 mol = โ4.355 ร 10โ21 ร 6.023 ร 1023 = โ2623.249 kJ/molFor 2 H atoms = โ5246.49 kJ/mol
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