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Question

Chemistry Question on atom structure models

The energy of second orbit of hydrogen atom is -5.45x10-19 J. What is the energy of first orbit of Li2+ ion (in J)

A

-1.962x10-18

B

-1.962x10-17

C

-3.924x10-17

D

-3.924x10-18

Answer

-1.962x10-17

Explanation

Solution

The correct option is: (B): -1.962x10-17

The energy levels of electrons in hydrogen-like atoms (atoms with a single electron, similar to hydrogen) are governed by the formula derived from the Bohr model:

E = -Z^2 * (13.6 eV) / n^2

Where:

  • E is the energy of the electron level
  • Z is the atomic number (number of protons) of the nucleus
  • 13.6 eV is the ionization energy of hydrogen
  • n is the principal quantum number of the orbit