ACHIEVE/CHEMICAL PRINCIPLES ACCESS 2TERM
ACHIEVE/CHEMICAL PRINCIPLES ACCESS 2TERM
7th Edition
ISBN: 9781319403959
Author: ATKINS
Publisher: MAC HIGHER
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Chapter 9, Problem 9D.23E

(a)

Interpretation Introduction

Interpretation:

The ligand field splitting has to be estimated.

Concept Introduction:

The splitting energy of the complex can be calculated using the formula,

  Δo=hcλ

Where

Δo is the splitting energy of the complex.

λ is the wavelength.

h is the Planck’s constant (6.626×10-34Js).

c is the velocity of the light (3×108ms-1).

(a)

Expert Solution
Check Mark

Answer to Problem 9D.23E

  1. (i) The ligand field splitting of [Cr(Cl)6]3- is 161.69kJmol-1.
  2. (ii) The ligand field splitting of [Cr(NH3)6]3+ is 260.12kJmol-1.
  3. (iii) The ligand field splitting of [Cr(H2O)6]3+ is 208.09kJmol-1.

Explanation of Solution

(i).

The ligand field splitting of [Cr(Cl)6]3- can be calculated as,

  Δo=hcλ

  Δo=(6.626×10-34J.s)(3×108ms-1)740nm×1m109nm

  Δo=1.987×10-25J7.4×10-7

  Δo=0.2685×10-18J.

The splitting energy in terms of kilojoulespermole is,

  Δo=0.2685×10-181kJ1000J×6.022×10231mol

  Δo=161.69kJmol-1

The ligand field splitting of [Cr(Cl)6]3- is 161.69kJmol-1.

(ii)

The ligand field splitting of [Cr(NH3)6]3+ can be calculated as,

  Δo=hcλ

  Δo=(6.626×10-34J.s)(3×108ms-1)460nm×1m109nm

  Δo=1.987×10-25J4.6×10-7

  Δo=0.4319×10-18J.

The splitting energy in terms of kilojoulespermole is,

  Δo=0.4319×10-181kJ1000J×6.022×10231mol

  Δo=260.12kJmol-1

The ligand field splitting of [Cr(NH3)6]3+ is 260.12kJmol-1.

(iii)

The ligand field splitting of [Cr(H2O)6]3+ can be calculated as,

  Δo=hcλ

  Δo=(6.626×10-34J.s)(3×108ms-1)575nm×1m109nm

  Δo=1.987×10-25J5.6×10-7

  Δo=0.3455×10-18J.

The splitting energy in terms of kilojoulespermole is,

  Δo=0.3455×10-181kJ1000J×6.022×10231mol

  Δo=208.09kJmol-1

The ligand field splitting of [Cr(H2O)6]3+ is 208.09kJmol-1.

(b)

Interpretation Introduction

Interpretation:

The ligands have to be arranged in the order of increasing field strength.

(b)

Expert Solution
Check Mark

Answer to Problem 9D.23E

The order of ligands in the order of increasing field strength is,

  [Cr(Cl)6]3-<[Cr(OH2)6]3+<[Cr(NH3)6]3+

Explanation of Solution

The ligand field splitting energy of [Cr(Cl)6]3- is 161.69kJmol-1, [Cr(NH3)6]3+ is 260.12kJmol-1 and [Cr(H2O)6]3+ is 208.09kJmol-1.  Based on the value of splitting energy the increasing order of the ligands is,

  [Cr(Cl)6]3-<[Cr(OH2)6]3+<[Cr(NH3)6]3+

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Chapter 9 Solutions

ACHIEVE/CHEMICAL PRINCIPLES ACCESS 2TERM

Ch. 9 - Prob. 9A.9ECh. 9 - Prob. 9A.10ECh. 9 - Prob. 9A.11ECh. 9 - Prob. 9A.12ECh. 9 - Prob. 9A.13ECh. 9 - Prob. 9A.14ECh. 9 - Prob. 9B.1ASTCh. 9 - Prob. 9B.1BSTCh. 9 - Prob. 9B.2ASTCh. 9 - Prob. 9B.2BSTCh. 9 - Prob. 9B.1ECh. 9 - Prob. 9B.2ECh. 9 - Prob. 9B.3ECh. 9 - Prob. 9B.4ECh. 9 - Prob. 9B.5ECh. 9 - Prob. 9B.6ECh. 9 - Prob. 9B.7ECh. 9 - Prob. 9B.8ECh. 9 - Prob. 9B.9ECh. 9 - Prob. 9B.10ECh. 9 - Prob. 9B.11ECh. 9 - Prob. 9B.12ECh. 9 - Prob. 9B.13ECh. 9 - Prob. 9B.14ECh. 9 - Prob. 9B.15ECh. 9 - Prob. 9B.16ECh. 9 - Prob. 9C.1ASTCh. 9 - Prob. 9C.1BSTCh. 9 - Prob. 9C.2ASTCh. 9 - Prob. 9C.2BSTCh. 9 - Prob. 9C.3ASTCh. 9 - Prob. 9C.3BSTCh. 9 - Prob. 9C.4ASTCh. 9 - Prob. 9C.4BSTCh. 9 - Prob. 9C.1ECh. 9 - Prob. 9C.2ECh. 9 - Prob. 9C.3ECh. 9 - Prob. 9C.4ECh. 9 - Prob. 9C.5ECh. 9 - Prob. 9C.6ECh. 9 - Prob. 9C.7ECh. 9 - Prob. 9C.8ECh. 9 - Prob. 9C.9ECh. 9 - Prob. 9C.10ECh. 9 - Prob. 9C.11ECh. 9 - Prob. 9C.12ECh. 9 - Prob. 9C.13ECh. 9 - Prob. 9C.14ECh. 9 - Prob. 9C.15ECh. 9 - Prob. 9C.16ECh. 9 - Prob. 9C.17ECh. 9 - Prob. 9C.18ECh. 9 - Prob. 9C.19ECh. 9 - Prob. 9C.20ECh. 9 - Prob. 9D.1ASTCh. 9 - Prob. 9D.1BSTCh. 9 - Prob. 9D.2ASTCh. 9 - Prob. 9D.2BSTCh. 9 - Prob. 9D.3ASTCh. 9 - Prob. 9D.3BSTCh. 9 - Prob. 9D.4ASTCh. 9 - Prob. 9D.4BSTCh. 9 - Prob. 9D.1ECh. 9 - Prob. 9D.2ECh. 9 - Prob. 9D.3ECh. 9 - Prob. 9D.4ECh. 9 - Prob. 9D.5ECh. 9 - Prob. 9D.6ECh. 9 - Prob. 9D.7ECh. 9 - Prob. 9D.8ECh. 9 - Prob. 9D.9ECh. 9 - Prob. 9D.10ECh. 9 - Prob. 9D.11ECh. 9 - Prob. 9D.12ECh. 9 - Prob. 9D.13ECh. 9 - Prob. 9D.14ECh. 9 - Prob. 9D.15ECh. 9 - Prob. 9D.16ECh. 9 - Prob. 9D.17ECh. 9 - Prob. 9D.18ECh. 9 - Prob. 9D.19ECh. 9 - Prob. 9D.20ECh. 9 - Prob. 9D.21ECh. 9 - Prob. 9D.22ECh. 9 - Prob. 9D.23ECh. 9 - Prob. 9D.24ECh. 9 - Prob. 9D.25ECh. 9 - Prob. 9D.26ECh. 9 - Prob. 9D.27ECh. 9 - Prob. 9D.28ECh. 9 - Prob. 9D.29ECh. 9 - Prob. 9D.30ECh. 9 - Prob. 9D.31ECh. 9 - Prob. 9D.32ECh. 9 - Prob. 9D.33ECh. 9 - Prob. 9D.34ECh. 9 - Prob. 9.1ECh. 9 - Prob. 9.2ECh. 9 - Prob. 9.3ECh. 9 - Prob. 9.4ECh. 9 - Prob. 9.5ECh. 9 - Prob. 9.6ECh. 9 - Prob. 9.7ECh. 9 - Prob. 9.8ECh. 9 - Prob. 9.9ECh. 9 - Prob. 9.10ECh. 9 - Prob. 9.11ECh. 9 - Prob. 9.12ECh. 9 - Prob. 9.13ECh. 9 - Prob. 9.14ECh. 9 - Prob. 9.15ECh. 9 - Prob. 9.16ECh. 9 - Prob. 9.17ECh. 9 - Prob. 9.18ECh. 9 - Prob. 9.19ECh. 9 - Prob. 9.20ECh. 9 - Prob. 9.21ECh. 9 - Prob. 9.23ECh. 9 - Prob. 9.25E
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