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To answer you first question: First we need the energy of one photon. Assuming you are familiar with the two formulae E=hf and c=fl where: c=speed of light /m.s^-1 | h= Planck constant / Js l=wavelength /m | f=frequency / Hz E= Energy / J we can substitute to get E=hc/l l = 320nm = 320 x10^-9 m | E = 6.626 x10^-34 Js | c=3 x10^8 m.s^-1 so E=(6.626 x10^-34 x 3 x10^8)/(320 x10^-9) = 6.211875 x10^-19 [seems believable so far] One mole = 6.02 x10^23 So total energy of a mole of the photons is: 6.02 x10^23 x 6.211875 x10^-9 = 373954.875 J = 374 kJ (3 s.f.) --------- As for the second question: http://en.wikipedia.org/wiki/Ultraviolet#Subtypes there you can see the relative wavelenghts of different types of UV light. UVA = 400-320nm | UVB = 320-200nm Now, looking again at the equation E=hc/l It is clear that to maximise E, we want the smallest l (to divide hc by the smallest number) Therefore shorter wavelength photons have the highest energy, so the answer is UV-B

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15y ago
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5mo ago

The energy of a photon can be calculated using the equation E = hc/λ, where h is Planck's constant (6.626 x 10^-34 J s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength. Plugging in the values, the energy of a photon with a wavelength of 300 nm is approximately 6.62 x 10^-19 joules.

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12y ago

We can use the Plank's Law:

E = hf = hc / λ

Where

h is Plank's constant (7 x 10-34 J/s)[approx.]

c is the speed of light in a vacuum (3 x 108 m/s)

λ is the wavelength, in meters, of the photon you're measuring

E = [ (7 x 10-34)(3 x 108) ] / 3 x 10-9 m

E = [ 21 x 10-26 ] / 3 x 10-9 m

E = 7 x 10-19 J

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Q: What is the energy of a photon with the wavelength 300 NM?
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Since the energy of a photon is inversely proportional to its wavelength, for a photon with double the energy of a 580 nm photon, its wavelength would be half that of the 580 nm photon. Therefore, the wavelength of the photon with twice the energy would be 290 nm.


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The wavelength can be calculated using the equation E = hc/λ, where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength. Plugging the given energy value into the equation and solving for λ gives a wavelength of approximately 608 nm.

Related questions

What is the wavelength of a photon whose energy is twice that of a photon with a 580 nm wavelength?

Since the energy of a photon is inversely proportional to its wavelength, for a photon with double the energy of a 580 nm photon, its wavelength would be half that of the 580 nm photon. Therefore, the wavelength of the photon with twice the energy would be 290 nm.


What is the frequency and energy of a photon with a wavelength of 488.3 nm?

The frequency of a photon with a wavelength of 488.3 nm is approximately 6.15 x 10^14 Hz. The energy of this photon is approximately 2.54 eV.


What is the wavelength of a photon that has three times as much energy as that of a photon whose wavelength is 779 nm?

Photon energy is proportional to frequency ==> inversely proportional to wavelength.3 times the energy ==> 1/3 times the wavelength = 779/3 = 2592/3 nm


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