Chemistry Practice Problems Bohr and Balmer Equations Practice Problems Solution: Solving the Rydberg equation for energy change giv...

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Solution: Solving the Rydberg equation for energy change gives ΔE = R∞hc [1/n12 - 1/n22] where the Rydberg constant R∞ for hydrogen-like atoms is 1.097 x 107 m-1 Z2, and Z is the atomic number. (a) Calculate the energies needed to remove an electron from the n = 2 state and the n = 6 state in the Li2+ ion. n = 2  ____ x 10___ J                n = 6  ____ x 10___ J (Enter your answer in scientific notation.) (b) What is the wavelength (in nm) of the emitted photon in a transition from n = 6 to n = 2? _____ nm

Problem

Solving the Rydberg equation for energy change gives

ΔE = Rhc [1/n12 - 1/n22]

where the Rydberg constant R∞ for hydrogen-like atoms is 1.097 x 107 m-1 Z2, and Z is the atomic number.

(a) Calculate the energies needed to remove an electron from the n = 2 state and the n = 6 state in the Li2+ ion.

n = 2  ____ x 10___ J                n = 6  ____ x 10___ J

(Enter your answer in scientific notation.)

(b) What is the wavelength (in nm) of the emitted photon in a transition from n = 6 to n = 2?

_____ nm