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Multiple Choice
What is the energy in joules associated with a mole of photons that have a wavelength of 325 nm?
A
6.12 x 10^5 J
B
3.68 x 10^5 J
C
3.68 x 10^-19 J
D
6.12 x 10^-19 J
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Verified step by step guidance
1
Start by understanding the relationship between energy and wavelength. The energy of a photon can be calculated using the formula: , where is Planck's constant (), is the speed of light (), and is the wavelength in meters.
Convert the wavelength from nanometers to meters. Since 1 nm = , the wavelength of 325 nm can be converted to meters by multiplying by .
Substitute the values of , , and into the energy formula to calculate the energy of a single photon: .
To find the energy associated with a mole of photons, multiply the energy of a single photon by Avogadro's number (), which represents the number of photons in one mole.
The result from the previous step will give you the energy in joules for a mole of photons with a wavelength of 325 nm. Ensure that all units are consistent and correctly converted throughout the calculation.