Chapter 6.7, Problem 1.2ACP

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
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,

Â Â hâ€‰=â€‰6.626â€‰Ã—â€‰10â€‰-34â€‰J.scâ€‰=â€‰2.998â€‰Ã—â€‰10â€‰8â€‰m/s

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

The wavelength of red light is Î»â€‰=â€‰700â€‰nmâ€‰=â€‰7â€‰Ã—â€‰10â€‰âˆ’7â€‰m

Â Â Â Â Eâ€‰=â€‰hcÎ»=â€‰6.626â€‰Ã—â€‰10â€‰âˆ’34â€‰J.s/photonâ€‰Ã—â€‰2.998â€‰Ã—â€‰10â€‰8â€‰m/s7â€‰Ã—â€‰10â€‰âˆ’7â€‰m=â€‰2.84â€‰Ã—â€‰10â€‰âˆ’19â€‰J/photon

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

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