Question

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].

a) Various numerical values
b) 4.36 × 10⁻¹⁸ J
c) 4.59 × 10⁻¹⁸ J
d) -2.18 × 10⁻¹⁸ J

Answer 1

The ionization energy for hydrogen can be determined using the Bohr equation. The ionization energy is 2.18 x 10^-18 J.

Step-by-step explanation:

The ionization energy for hydrogen can be determined using the Bohr equation. The Bohr equation is given by:

E = -R_H(1/n2), where E is the energy, R_H is the Rydberg constant for hydrogen (2.18 x 10-18 J), and n is the principal quantum number.

To calculate the ionization energy for hydrogen, we need to find the energy when n = 1 and when n = infinity. When n = 1, the energy is:

E = -2.18 x 10-18 J

When n = infinity, the energy becomes zero. Therefore, the ionization energy for hydrogen is the difference between these two energies:

Ionization energy = 0 - (-2.18 x 10-18 J) = 2.18 x 10-18 J