It is possible to determine the ionization energy for hydrogen using the Bohr equation. Calculate the ionization energy for an atom of hydrogen, making the assumption that ionization is the transition from n=1 to n=infinity.
I don't know how to solve this problem.
A. -2.18 x 10-18 J
B. +2 .18 x 10-18 J
C. +4.59 x 10-18 J
D. -4.59 x 10-18 J
E. +4.36 x 10-18 J
Please show work and thank you.
E = 2.180E-18J x (1/1 - 1/infinity)
But 1/infinity is zero; therefore, E for ionization is E = 2.180E-18 x 1/1 = ?J
To calculate the ionization energy of hydrogen using the Bohr equation, we can start with the equation for the energy of an electron in the hydrogen atom:
E = -2.18 x 10^-18 J (Z^2 / n^2)
Where:
E is the energy of the electron
Z is the atomic number of the nucleus (in this case, 1 for hydrogen)
n is the principal quantum number (the energy level the electron is in)
For ionization, the electron transitions from the lowest energy level (n=1) to infinity (n=infinity). So, we can substitute the values into the equation:
E = -2.18 x 10^-18 J (1^2 / 1^2)
E = -2.18 x 10^-18 J
Therefore, the ionization energy for hydrogen is -2.18 x 10^-18 J.
So, the correct answer is:
A. -2.18 x 10^-18 J