Q.
The figure below is the plot of potential energy versus internuclear distance (𝑑) of H2 molecule in the electronic ground state. What is the value of the net potential energy 𝐸0 (as indicated in the figure) in kJ mol−1, for 𝑑=𝑑0 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. Use Avogadro constant as 6.023 × 1023 mol−1.
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answer is –5246.49.
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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) P.E. =−Kq1q2r(Bohar radius)=9×1091.6×10−1920.529×10−10=−4.355×10−21kJFor 1 mol = –4.355 × 10–21 × 6.023 × 1023 = –2623.249 kJ/molFor 2 H atoms = –5246.49 kJ/mol
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