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

According to the Bohr equation, the ionization energy is given by the formula E = -Rhc/ni^2, where R is the Rydberg constant, h is Planck's constant, c is the speed of light, and ni is the initial energy level. For hydrogen, the initial energy level is N=1 and final energy level is n=∞ (ionization). Plugging in the values, we get E = -(-2.18 x 10^-18 J) / (1^2) = 2.18 x 10^-18 J. However, the question asks for the ionization energy with a positive sign, so the final answer is +2.18 x 10^-18 J. Therefore, choice B is the correct answer.

It Is Possible to Determine the Ionization Energy for Hydrogen