# Problem: 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

###### FREE Expert Solution
90% (322 ratings)
###### Problem Details

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

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

_____ nm

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Bohr and Balmer Equations concept. If you need more Bohr and Balmer Equations practice, you can also practice Bohr and Balmer Equations practice problems.

What is the difficulty of this problem?

Our tutors rated the difficulty ofSolving the Rydberg equation for energy change gives ΔE = R...as high difficulty.

How long does this problem take to solve?

Our expert Chemistry tutor, Dasha took 9 minutes and 30 seconds to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Randles' class at UCF.