   Chapter 6, Problem 70IL

Chapter
Section
Textbook Problem

A solution of KMnO4 absorbs light at 540 nm (page 206). What is the frequency of the light absorbed? What is the energy of one mole of photons with λ = 540 nm?

Interpretation Introduction

Interpretation: The frequency, the energy per photon and the energy per mole of photons of absorbed light has to be calculated. The energy of absorbed light has to be compared with red light

Concept introduction:

• Electromagnetic radiations are a type of energy surrounding us. They are of different types like radio waves, IR, UV, X-ray etc.
• Planck’s equation,

E=where, E=energyh=Planck'sconstantν=frequency

The energy increases as the wavelength of the light decrease. Also the energy increases as the frequency of the light increases.

• The frequency of the light is inversely proportional to its wavelength.

ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

Explanation

The frequency and the energy per mole of photons of absorbed light is calculated below.

Given,

The wavelength absorbed light is 540nm=5.40 ×107m

Planck'sconstant,h=6.626×1034J.sThe speed of light,c=2.998×108m/sAvogadro's number,NA=6.022×1023photons/mol

• The frequency of absorbed light is calculated by using the equation,

ν=cλ=2.998×108m/s5.40 ×107m=5.552×1014s1

The frequency of absorbed light is 5.552×1014s1

• The energy per photon of absorbed light is calculated,

E=

Substituting the values to the above equation,

E=(6

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

What is meant by the precision of a measurement? How is it indicated?

General Chemistry - Standalone book (MindTap Course List)

hat volume does 35moles of N2occupy at STP?

Introductory Chemistry: A Foundation

To be labeled "low fat. a food must contain 3 grams of fat or less per serving. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What determines the chemical reactivity of an atom?

Biology: The Dynamic Science (MindTap Course List) 