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.

Question

Calculating Quantum Energies

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

Accepted Answer

[latex]9.01 × 10^{-19} J[/latex]

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

[latex]E = b u = (6.626 × 10^{-34} J⋅s ) (1.36 × 10^{15} s^{-1} ) = 9.01 × 10^{-19} J[/latex]

Chapter 7

Q. 7.PS.2

Q. 7.PS.2

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