Solving the Rydberg equation for energy change gives

ΔE = R_{∞}hc [1/n_{1}^{2} - 1/n_{2}^{2}]

where the Rydberg constant R_{∞ }for hydrogen-like atoms is 1.097 x 10^{7} m^{-1} Z^{2}, 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 Li^{2+} 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

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