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Chapter 7

Q. 7.PS.2

Q. 7.PS.2

Calculating Quantum Energies

In the stratosphere, ultraviolet radiation with a frequency of 1.36 × 10^{15}  s^{-1} can break C—Cl bonds in chlorofluorocarbons (CFCs), which can lead to stratospheric ozone depletion. Calculate the energy per quantum of this radiation.


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9.01 × 10^{-19}   J

Strategy and Explanation According to Planck’s quantum theory, the energy and frequency of radiation are related by E = b\nu. Substituting the values for b and \nu into the equation, followed by multiplying and canceling the units, gives the correct answer.

E = b\nu = (6.626 × 10^{-34}  J⋅s ) (1.36 × 10^{15}  s^{-1} ) =  9.01 × 10^{-19}  J

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