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The biological effects of a given dose of electromagnetic energy generally become more serious as the energy of the radiation increases: Infrared radiation has a pleasant warming effect; ultraviolet radiation causes tanning and burning; and X rays can cause considerable tissue damage. What energies in kilojoules per mole are associated with the following wavelengths:

a) infared radiation with y= 1.44*10^-6m

b) ultraviolet with y= 233 nm

c) xrays with y=5.34 nm

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Answer: energy of infrared radiation=13.75×10^-20J

Energy of ultraviolet radiation=8.5×10^-19J

Energy of xrays=3.7×10^-17J

Explanation:

Energy of radiation= h×c/wavelength

h=6.6×10^-34 Js

c=3×10^8 ms-1

For infrared= 6.6×10-34×3×10^8/1.44×10^-6=13.75×10^-20J

For ultraviolet= 6.6×10^-34 × 3×10^8/233×10^-9=8.5×10^-19J

For xrays= 6.6×10^-34×3×10^-8/5.34×10-9=3.7×10^-17J

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