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 = ∞. A) -2.18 × 10^-18 J B) +2.18 × 10^-18 J C) +4.59 × 10^-18 J D) -4.59 × 10^-18 J E) +4.36 × 10^-18 J

Question

Quizplus · Accepted Answer

The ionization energy for hydrogen can be calculated using the equation:

Ionization energy = (-1)(R∞)(Z²/n²)

where R∞ is the Rydberg constant (2.18 × 10^-18 J), Z is the atomic number (1 for hydrogen), and n is the initial energy level (1 for ground state).

Substituting the values:

Ionization energy = (-1)(2.18 × 10^-18 J)(1²/1²) = -2.18 × 10^-18 J

The negative sign indicates that energy is released when the electron is removed from the hydrogen atom. Therefore, the correct choice is B, which is the negative value of 2.18 × 10^-18 J.

It Is Possible to Determine the Ionization Energy for Hydrogen