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

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SUMMARY

The discussion revolves around calculating the wavelength of a photon that can ionize lithium (Li) with an ionization energy of 520 kJ/electron mole. The user correctly converts the energy to joules per photon, yielding approximately 8.6379 x 10^-19 J. Using the Planck-Einstein relation, the frequency is calculated as 1.3036 x 10^15 Hz, leading to a wavelength of 230 nm. This wavelength falls within the ultraviolet (UV) region of the electromagnetic spectrum, confirming the user's calculations are accurate.

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  • Knowledge of the speed of light and its role in wavelength calculations
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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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