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Calculate the energy range of electromagnetic radiation in the UV region of the spectrum from 200 to 400 nm (see Section 12-5). How does this value compare with the values calculated previously for IR and NMR spectroscopy?

Short Answer

Expert verified

The energy range of electromagnetic radiation in the UV region of the spectrum from 200 to 400 nm is 6.0脳102鈥塳闯/尘辞濒and 3.0脳102鈥塳闯/尘辞濒.

The energy required for UV transition is greater than for IR or H1NMR transition

Step by step solution

01

Step 1:Electromagnetic Radiation 

Electromagnetic radiation is the 鈥渇orm of energy鈥 with both electric and magnetic fields. It is generated by the sun, in which the electric field and magnetic field oscillate perpendicular.

Electromagnetic waves are of many types depending upon thetype of oscillation.

02

Comparison of energy in UV region with IR and NMR

Conversion of 200 nm and 400 nm wavelength to a meter is done as follows:

位=200脳10-9m=2脳10-7m位=400脳10-9mhence=4脳10-7m

The energy of electromagnetic radiation of 2脳10-7mwavelength is given as follows:

E=1.20脳10-4鈥塳闯/尘辞濒(inm)=1.20脳10-4鈥塳闯/尘辞濒2.0脳10-7=6.0脳102鈥塳闯/尘辞濒

The energy of electromagnetic radiation of 4脳10-7mwavelength is given as follows:

E=1.20脳10-4鈥塳闯/尘辞濒(inm)=1.20脳10-4鈥塳闯/尘辞濒4.0脳10-7=3.0脳102鈥塳闯/尘辞濒

Therefore the energy of electromagnetic radiation in the spectral region from 200 nm to 400 nm is 300-600 kJ/mol.

The energy of electromagnetic radiation in kJ/mol for UV is 300-600, for IR is 4.8-48, and for H1NMR is 8.0105.

Thus the energy required for UV transition is greater than for IR or H1NMR transition

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