Chapter 7
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.
Step-by-Step
Verified Solution
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