Intensity of green light equation2/9/2024 ![]() ![]() To get energy per mole, multiply the above value by Avogadro's Number: There was no need to take the wavelength to meters. I did this because the 1.2 Ångstrom value for the wavelength converts very easily into cm. Note also that I used 3.00 x 10 10 cm s¯ 1 for the speed of light. Calculate the energy of one mole of photons with this wavelength.ġ.2 Å x (10¯ 8 cm / 1 Å) = 1.2 x 10¯ 8 cm It's just a stylistic thing to write it the first way.Įxample #17: A particular x-ray has a wavelength of 1.2 Å. nm.īy the way, Eλ = hc can also be written as E = hc/λ. (3.82 x 10 -19 J) (λ) = (6.626 x 10 -34 J s) (3.00 x 10 8 m/s)Ĥ) You may do the math set up for converting from meters to nanometers. We will assume the energy given is for one photon.ģ.82 x 10 -22 kJ times (1000 J / 1 kJ) = 3.82 x 10 -19 JĢ) What you now do is combine these two equations: Problem #16: The energy of a particular color of green light is 3.82 x 10 -22 kJ. There are many who disagree that indigo deserves to be a color in the spectrum, so choosing blue as the answer seems the best way to go. Note that this chart is divided up into seven colors (the well-known Roy G. This is 462.3 nm (You may do the conversion to check it.)ģ) To determine the color, we look at a chart of wavelengths and colors. What color is the cesium flame?ġ) We combine E = hν and λν = c to arrive at: Problem #15: When a cesium salt solution is ionized in a Bunsen or Meeker burner, photons of energy 4.30 x 10 -19 J are emitted. (1 W = 1 J/s)Ģ) Determine energy of one photon at this wavelength:Į = / 5.32 x 10¯ 7 mģ) Determine power output in terms of photons:Ĥ J s¯ 1 / 3.736466 x 10¯ 19 J per photonĤ) Determine decimal percent pinhole is of total area of beam:ĥ) Determine photons through pinhole in one second: If the laser is pointed toward a pinhole with a diameter of 1.2 mm, how many photons will travel through the pinhole per second? Assume that the light intensity is equally distributed throughout the entire cross-sectional area of the beam. The diameter of the laser beam is 6.2 mm. Problem #14: An argon ion laser puts out 4.0 W of continuous power at a wavelength of 532 nm. What is the wavelength of light (in nm) that would be required to break the bond of one Cl 2 molecule. Problem #13: It requires 325 kJ to break one mole of Cl 2 bonds. In that case, multiply by Avogadro's Number, the divide by 1000 to arrive at the answer. Often, this type of question will ask for the energy in kJ/mol. Use Eλ = hc (with the speed of light as 3.00 x 10 8 m s¯ 1Į = / 6.62 x 10¯ 7 m ![]() Problem #12: What is the energy of light with a wavelength of 662 nm? What is the frequency in Hz of this gamma ray? A gamma ray emitted by an atom of Thallium-201 has an energy of 0.1670 million electron-volts. Problem #11: The radioactive isotope Thallium-201 is used in medical diagnosis and treatment. Problems #11 - 20 Wavelength-Frequency-Energy Problems #1 - 10 Go to Part Two of Light Equations Return to Part One of Light Equations Return to Electrons in Atoms menu Calculations between wavelength, frequency and energy - Probs 11-20Ĭalculations between wavelength, frequency and energy ![]()
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