How can I calculate the energy required for the ionization of an electron from the ground state of the hydrogen atom?
The equation for energy of a transition is
E = 2.180E-18J x (1/n^2 - 1/n^2)
Where the first term corresponds to n1 and the second term corresponds to n2. For the ionization energy, you want n1 to be 1 and n2 to be infinity. 1/infinity = 0. So the equation looks this way.
E = 2.180E-18J x (1/1^2 - 0)
Calculet the energy required for the ionization of an electron from the ground state of the hydrogen atom
Calculate the required for the ionization of an electron from the ground state of a hydrogen atom
To calculate the energy required for the ionization of an electron from the ground state of a hydrogen atom, you can use the formula for the energy of an electron in a hydrogen atom, which is given by the Rydberg formula:
E = -13.6 eV / n^2
Where:
E is the energy of the electron in electron volts (eV)
n is the principal quantum number of the energy level
The ground state of a hydrogen atom corresponds to n=1. Therefore, substituting n=1 into the formula, you can calculate the energy required for ionization.
E = -13.6 eV / 1^2
E = -13.6 eV
So, the energy required for the ionization of an electron from the ground state of a hydrogen atom is 13.6 electron volts (eV).