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Chapter 2, Problem 112E

Sunscreen contains compounds that absorb ultraviolet light. When sunscreen is applied to skin, it prevents ultraviolet light from reaching the skin. The graph that follows shows the absorbance of light as a function of wavelength for two different compounds (2-EHMC and TDSA) common in sunscreen. Absorbance is a measure of the amount of light absorbed by the compound-the higher the absorbance, the more light is absorbed. Study the graph and answer the question

Chapter 2, Problem 112E, Sunscreen contains compounds that absorb ultraviolet light. When sunscreen is applied to skin, it

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  1. Calculate the energy of a photon at the maximum absorption of TDSA.
  2. Calculate the energy of a photon at the maximum absorption of 2-EHMC.
  3. Which compound absorbs more energy at its maximum absorption?
  4. Why do you think sunscreens commonly contain both of these compounds and not just one of them?
  5. Assuming that sunlight produces 3.066 x 1022^ V ph°tQ1is, ^atthe skin absorbs one-half of these photons (and m2 • s reflects the other half), calculate the total UV energy absorbed over 0.42 m2 of skin that is exposed to sunlight for one hour. Assume that the average wavelength of the UV photons is 330 nm.

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Chapter 2 Solutions

Mastering Chemistry with Pearson eText -- Standalone Access Card -- for Chemistry: Structure and Properties (2nd Edition)

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Given that only...Ch. 2 - Why are atoms usually portrayed as spheres when...Ch. 2 - The distance from the sun to Earth is 1.496108 km....Ch. 2 - The nearest star to our sun is Proxima Centauri,...Ch. 2 - List these types of electromagnetic radiation in...Ch. 2 - List these types of electromagnetic radiation in...Ch. 2 - Calculate the frequency of each wavelength of...Ch. 2 - Calculate the wavelength of each frequency of...Ch. 2 - Calculate the energy of a photon of...Ch. 2 - Calculate the energy of a photon of...Ch. 2 - A laser pulse with wavelength 532 nm contains 3.85...Ch. 2 - A heat lamp produces 32.8 watts of power at a...Ch. 2 - Determine the energy of 1 mol of photons for each...Ch. 2 - How much energy is contained in 1 mol of each?...Ch. 2 - Sketch the interference pattern that results from...Ch. 2 - What happens to the interference pattern described...Ch. 2 - The resolution limit of a microscope is roughly...Ch. 2 - The smallest atoms can themselves exhibit...Ch. 2 - What is the de Broglie wavelength of an electron...Ch. 2 - A proton in a linear accelerator has a de Broglie...Ch. 2 - Prob. 53ECh. 2 - A 0.22-caliber handgun fires a 27-g bullet at a...Ch. 2 - An electron has an uncertainty in its position of...Ch. 2 - An electron traveling at [1.35 \times {10^5}\] m/s...Ch. 2 - Which electron is, on average, closer to the...Ch. 2 - Which electron is, on average, further from the...Ch. 2 - What are the possible values of I for each given...Ch. 2 - What are the possible values of m1 for each given...Ch. 2 - Which set of quantum numbers cannot occur together...Ch. 2 - Which combinations of n and I represent real...Ch. 2 - Prob. 63ECh. 2 - Sketch the 3d orbitals. 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