Could someone check this for me? (photon and wavelength)

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The discussion revolves around a chemistry lab question regarding the ionization energy of lithium and the calculation of the wavelength of a photon capable of removing an electron from lithium. The user converted the ionization energy from kJ to joules and calculated the energy per photon, then used the Planck-Einstein relation to find the frequency and subsequently the wavelength. The calculated wavelength of 230 nm is confirmed to fall within the ultraviolet range of the electromagnetic spectrum. The calculations and methodology presented are deemed correct, ensuring the user is on the right track for related problems. Overall, the user receives validation for their approach and results.
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This is a post-lab question for my chemistry lab. It's confusing because the questions are supposed to go along with what we are learning in the chemistry lecture, but we're behind in the lecture, so I'm trying to teach myself how to do this since we haven't learned it yet!
Here's the problem:

"The ionization energy of Li is 520 kJ/electron mole. What is the wavelength of nm of a photon having sufficient energy to remove an electron from Li? In what portion of the electromagnetic spectrum would you find such a photon?"

My work:

520 kJ = 520000 J

520000 J/mol X 1 mol / 6.02 X 10^23 photons = 8.6379 X 10^-19 J / photons

Energy = h (constant) X v (frequency)

v = E/h

v = (8.6379 X 10^-19 J/photons) / (6.626 X 10 ^-34 J/s)

v = 1.3036 X 10 15 /s

wavelength (w) = speed of light (c)/ v

w = (3 X 10^8 m/s) / (1.3036 X 10^15)

w = 2.301 m /photon X 10^9 nm/m = 230 nm

230 nm = ultraviolent rays
Does this look right? If someone could help me Id soooo appreciate it! (I need to make sure I did this right or I'll miss the next problem too because they're related)
 
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All the steps and the results appear correct, i would of tackled this problem in exactly the same way. :smile:
 
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