Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced 2020Paper 2
Exam
JEE Advanced
Year
2020
Paper
Paper 2
Subject
Chemistry
Chapter
Structure of Atom

JEE Advanced 2020 · Paper 2 · Chemistry · Structure of Atom

The figure below is the plot of potential energy versus...

The figure below is the plot of potential energy versus internuclear distance (d)( d ) of H2{H}_{2} molecule in the electronic ground state. What is the value of the net potential energy E0{E}_{0} (as indicated in the figure) in kJmol−1,kJ{mol}^{- 1}, for d=d0d = {d}_{0} at which the electron-electron repulsion and the nucleus-nucleus repulsion energies are absent? As reference, the potential energy of HH atom is taken as zero when its electron and the nucleus are infinitely far apart. Use Avogadro constant as 6.023×1023mol−1.6 .023 \times {10}^{23}{mol}^{- 1} . The figure below is the plot of potential energy versus internuclear distance ( d ) of H _ 2 molecule in the electronic Mark total potential energy for 2 H-atom (per mole) as answer.

Correct answer

0

Step-by-step solution

For one HH atom

P.E.=−kq1q2r=−9×109×[1.6×10−19]20.529×10−10P . E . =- \dfrac{{kq}_{1}{q}_{2}}{r} =- \dfrac{9 \times {10}^{9} \times {\left[1 .6 \times {10}^{- 19}\right]}^{2}}{0 .529 \times {10}^{- 10}}

=−9×1.6×1.60.529×10−19=- \dfrac{9 \times 1 . 6 \times 1 . 6}{0 . 529} \times {10}^{- 19}

Total potential energy for 2 H-atom (per mole)

=−2×9×1.6×1.60.529×10−19×6×1023=−5246.5kJ/mole=- \dfrac{2 \times 9 \times 1 .6 \times 1 .6}{0 .529} \times {10}^{- 19} \times 6 \times {10}^{23} = -5246 .5 kJ / mole

Practice Structure of Atom on Quantrex Academy →

More from Structure of Atom

The 2s and the 2p orbital energies of hydrogen atom are E_ 2s (H) and E_ 2p (H)… JEE Advanced 2026X^ a+ and Y^ b+ are hydrogen-like species. The wavelength of light absorbed during the… JEE Advanced 2026Consider two radiations of wavelengths 1. λ_1 = 2000 Å 2. λ_2 = 6000 Å The ratio of the… JEE Main 2026The Bohr radius of a hydrogen like species is 70.53 pm. The species and the stationary… JEE Main 2026If shortest wavelength of hydrogen atom in Lyman series is x , then longest wavelength in… JEE Main 2026Match the LIST-I with LIST-II List-I Orbital List-II Radial nodes and nodal plane A. 2s… JEE Main 2026Which of the following statement(s) is/are true ? A. If two orbitals have the same value… JEE Main 2026Arrange the following atomic orbitals of multi electron atoms in order of increasing… JEE Main 2026 Full Structure of Atom list All JEE Advanced PYQs