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 𝐸$$0$$ (as$$ indicated in the $$figure) in kJ mol−$$1$$, for 𝑑$$=$$𝑑$$0$$ 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−$$1$$.

Question

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 𝐸$$0$$ (as$$ indicated in the $$figure) in kJ mol−$$1$$, for 𝑑$$=$$𝑑$$0$$ 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−$$1$$.

Infinity Learn · Accepted Answer

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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