   Chapter 21, Problem 60E

Chapter
Section
Textbook Problem

# Consider the complex ions Co(NH3)63+, Co(CN)63−, and CoF63−. The wavelengths of absorbed electromagnetic radiation for these compounds (in no specific order) are 770 nm, 440 nm, and 290 nm. Match the complex ion to the wavelength of absorbed electromagnetic radiation.

Interpretation Introduction

Interpretation: The wavelength of each ion, that is Co(NH3)63+,Co(CN)63,CoF63 is given in random order. The given complex ions are to be matched according to their wavelength of light absorbed.

Concept introduction: The capacity to absorb light by a complex ion is directly proportional to the crystal field splitting energy and energy absorbed is inversely proportional to the wavelength.

To determine: The correct match of each complex ion Co(NH3)63+,Co(CN)63,CoF63 according to the wavelength of light absorbed.

Explanation

Explanation

The spectrochemical series (crystal field splitting energy) of strong to weak ligand is,

CN>NO2>en>NH3>H2O>OH>F>Cl>SCN>Br

Hence, order of increasing crystal field splitting energy for complex ions Co(NH3)63+,Co(CN)63,CoF63 is,

CoF63<Co(NH3)63+<Co(CN)63

The correct order of the wavelength of the given complex ions is,

Co(CN)63290nmCo(NH3)63+440nmCoF63770nm

Given

Wavelengths of absorbed electromagnetic radiation of the given complex ions are 770nm,440nm,290nm.

Formula

The energy absorbed by light is given by the expression,

E=hcλ

Where,

• E is the energy absorbed.
• h is the Planck’s constant.
• c is the velocity of light

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