Question 7.PS.2: Calculating Quantum Energies In the stratosphere, ultraviole......

Principles of Chemistry The Molecular Science [1096176]

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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