find kinetic energy, electrostatic potential energy and total. energy of single electron in 2nd excited state of Li^(+2) atom.
Answers
Explanation:
CHEMISTRY
The total energy of an electron in the second excited state of the hydrogen atom is about −1.5eV. The kinetic energy and potential energy of the electron in this state are:
November 22, 2019avatar
Noor Arekar
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ANSWER
For an electron in an atom Total energy = Kinetic energy + Potential energy.
From Bohr's model,
Potential energy =(−2)× Kinetic energy ,
So, Total energy = Kinetic energy −2 Kinetic energy
Hence, Kinetic energy =1.5 eV and Potential energy =−3.0 eV
The kinetic energy, electrostatic potential energy and total energy are 13.6ev,-13.6ev and -27.2eV
- Let us go through the given parameter
Atomic number of Li(+2) atom(Z) = 3
number of electrons in Li(+2) atom(n)= 3
- Total energy (Etotal)= -13.6 (Z²/n²)
=-13.6(3²/3²)
= -13.6ev
The total energy of the atom is -13.6ev
- Kinetic energy = I Etotal I
=I -13.6 I = 13.6ev
The kinetic energy of the atom is 13.6ev
- Potential energy = 2×Etotal
=2(-13.6ev) = -27.2eV
The kinetic energy of the atom is -27.2eV