   Chapter 6.7, Problem 1.2ACP

Chapter
Section
Textbook Problem

Calculate the energy per mole of photons (in kJ/mol) for red light with a wavelength of 700 nm. Calculate the energy per mole of photons (in kJ/mol) for UV-B light with a wavelength of 300 nm. How many times more energetic is this UV-B than this red light?

Interpretation Introduction

Interpretation:

The energy per mole of photons of red light and UV-B light has to be calculated. Also the number of times the UV-B light is more energetic than red light has to be calculated.

Concept introduction:

Planck’s equation,

E==hcλwhere, ν=frequencyλ=wavelength

The energy increases as the wavelength of the light decreases.

Explanation

Given,

h=6.626×10-34J.sc=2.998×108m/s

• The energy per mole of photons of red light is calculated.

The wavelength of red light is λ=700nm=7×107m

E=hcλ=6.626×1034J.s/photon×2.998×108m/s7×107m=2.84×1019J/photon

• The energy per mole of photons of UV-B light is calculated

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