Question
Calculate the ground state energy of hydrogen atom in Joules and convert to election volts
Answers
GPT 3.5
The ground state energy of a hydrogen atom can be calculated using the formula:
E = -13.6 eV
where E is the energy in electron volts (eV) and -13.6 eV is the standard ground state energy of a hydrogen atom.
To convert this energy to joules, we can use the conversion factor 1 eV = 1.602176634 x 10^-19 joules.
Therefore, the energy in joules would be:
E = -13.6 eV * 1.602176634 x 10^-19 joules/eV
E = -2.1782265 x 10^-18 joules
Now, to convert this energy to electron volts, we can use the conversion factor 1 Joule = 6.242 x 10^12 electron volts.
E = -2.1782265 x 10^-18 joules * 6.242 x 10^12 eV/J
E = -1.357575 x 10^-5 eV
Therefore, the ground state energy of a hydrogen atom is approximately -1.357575 x 10^-5 eV.
E = -13.6 eV
where E is the energy in electron volts (eV) and -13.6 eV is the standard ground state energy of a hydrogen atom.
To convert this energy to joules, we can use the conversion factor 1 eV = 1.602176634 x 10^-19 joules.
Therefore, the energy in joules would be:
E = -13.6 eV * 1.602176634 x 10^-19 joules/eV
E = -2.1782265 x 10^-18 joules
Now, to convert this energy to electron volts, we can use the conversion factor 1 Joule = 6.242 x 10^12 electron volts.
E = -2.1782265 x 10^-18 joules * 6.242 x 10^12 eV/J
E = -1.357575 x 10^-5 eV
Therefore, the ground state energy of a hydrogen atom is approximately -1.357575 x 10^-5 eV.