   # Nanotechnology has become an important field, with applications ranging from high-density data storage to the design of “nano machines.” One common building block of nanostructured architectures is manganese oxide nanoparticles. The particles can be formed from manganese oxalate nanorods, the formation of which can be described as follows: Mn 2+ ( a q ) + C 2 O 4 2 − ( a q ) ⇌ M n C 2 O 4 ( a q ) K 1 = 7.9 × 10 3 MnC 2 O 4 ( a q ) + C 2 O 4 2 − ( a q ) ⇌ M n ( C 2 O 4 ) 2 2 − ( a q ) K 2 = 7.9 × 10 1 Calculate the value for the overall formation constant for Mn(C 2 O 4 ) 2 2− : K = [ Mn(C 2 O 4 ) 2 2- ] [ Mn 2+ ][C 2 O 4 2- ] 2 ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 15, Problem 85AE
Textbook Problem
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## Nanotechnology has become an important field, with applications ranging from high-density data storage to the design of “nano machines.” One common building block of nanostructured architectures is manganese oxide nanoparticles. The particles can be formed from manganese oxalate nanorods, the formation of which can be described as follows:   Mn 2+ ( a q )   +   C 2 O 4 2 − ( a q )   ⇌   M n C 2 O 4 ( a q ) K 1   =   7.9   ×   10 3 MnC 2 O 4 ( a q )   +   C 2 O 4 2 − ( a q )   ⇌   M n ( C 2 O 4 ) 2 2 − ( a q )   K 2   =   7.9   ×   10 1 Calculate the value for the overall formation constant for Mn(C2O4)22−: K   =   [ Mn(C 2 O 4 ) 2 2- ] [ Mn 2+ ][C 2 O 4 2- ] 2

Interpretation Introduction

Interpretation: The reaction corresponding to the formation of manganese oxide nanoparticles is given. The value for the overall formation constant for Mn(C2O4)22 is to be calculated.

Concept introduction: The overall formation constant (Kf) is calculated by the formula,

Kf=K1K2

### Explanation of Solution

Explanation

To determine: The value for the overall formation constant for Mn(C2O4)22 .

The given reactions are,

Mn2+(aq)+C2O42(aq)MnC2O4(aq)K1=7.9×103MnC2O4(aq)+C2O42(aq)Mn

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