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(Ill) In the Bohr model of the hydrogen atom, an electron
Chapter 23, Problem 27P(choose chapter or problem)
Problem 27P
(Ill) In the Bohr model of the hydrogen atom, an electron orbits a proton (the nucleus) in a circular orbit of radius 0.53 X 10-10 m. (a) What is the electric potential at the electron's orbit due to the proton? (b) What is the kinetic energy of the electron? (c) What is the total energy of the electron in its orbit? (d) What is the ionization energy— that is, the energy required to remove the electron from the atom and take it to r = «*, at rest? Express the results of parts (b), (c), and (d) in joules and eV.
Questions & Answers
QUESTION:
Problem 27P
(Ill) In the Bohr model of the hydrogen atom, an electron orbits a proton (the nucleus) in a circular orbit of radius 0.53 X 10-10 m. (a) What is the electric potential at the electron's orbit due to the proton? (b) What is the kinetic energy of the electron? (c) What is the total energy of the electron in its orbit? (d) What is the ionization energy— that is, the energy required to remove the electron from the atom and take it to r = «*, at rest? Express the results of parts (b), (c), and (d) in joules and eV.
ANSWER:
Step-by-step solution
Step 1 of 5
The hydrogen atom has one proton in the nucleolus and one electron in the orbit around the nucleolus according to Bohr model of atom.
Radius of the first orbit of hydrogen atom
Charge of an electron
Charge of a proton
Mass of electron
eV is an energy unit used in atomic level.
Conversion from joule to eV;
