Calculate the energy (J) change associated with an electron transition from n = 2 to n = 5 in a Bohr hydrogen atom . A) 6.5 × 10^-¹⁹ B) 8.7 × 10^-²⁰ C) 4.6 × 10^-¹⁹ D) 5.5 × 10^-¹⁹ E) 5.8 × 10^-⁵³

Question

Quizplus · Accepted Answer

The energy change can be calculated using the formula ΔE = -Rhc(1/nf^2 - 1/ni^2), where R is the Rydberg constant, h is Planck's constant, c is the speed of light, nf is the final energy level, and ni is the initial energy level. Substituting the values given, we get ΔE = -2.179 × 10^-18 J (1/5^2 - 1/2^2) = -4.6 × 10^-19 J. However, the question asks for the absolute value of the energy change, which is 4.6 × 10^-19 J. The closest answer choice is C.

Calculate the Energy (J) Change Associated with an Electron Transition