An electrochemical cell is set up using the following unbalanced reaction: M a + ( a q ) + N ( s ) → N 2 + ( a q ) + M ( s ) The standard reduction potentials are: The cell contains 0.10 M N 2+ and produces a voltage of 0.180 V. If the concentration of M a+ is such that the value of the reaction quotient Q is 9.32 × 10 −3 , calculate [M a+ ]. Calculate w max for this electrochemical cell.

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Interpretation Introduction Interpretation: The concentration of [ M a+ ] and w max of the given electrochemical cell is to be calculated. Concept introduction: Electrochemical cell is defined as a cell that generates electrical energy from a redox reaction taking place in a cell. Nernst equation used in an electrochemical cell is used to relate the standard reduction potential, reduction potential, activities and temperature in a redox reaction. To determine: The concentration of [ M a+ ] and w max of the given electrochemical cell. Explanation Explanation Given The concentration of N 2+ is 0. 10 M . E cell = 0.18 0 V Reaction quotient Q 0r[a1] equilibrium constant is 9.32 × 10 − 3 . The given reaction is, M a+ + N → N 2+ + M The reaction quotient of the reaction is given as, [ N 2+ ] [ M a+ ] = Q . The concentration of [ M a+ ] is calculated as per data, [ N 2+ ] [ M a+ ] = 9.32 × 10 − 3 . The concentration of N 2+ is 0. 10 M . Substitute the value of N 2+ in the above expression. [ N 2+ ] [ M a+ ] = 9.32 × 10 − 3 [ 0. 1 M ] [ M a+ ] = 9.32 × 10 − 3 [ M a+ ] = 0

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Chemistry: An Atoms First Approach

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Chemistry: An Atoms First Approach

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Steven S. Zumdahl + 1 other

Publisher: Cengage Learning

ISBN: 9781305079243

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Interpretation Introduction

Interpretation: The concentration of [Ma+] and wmax of the given electrochemical cell is to be calculated.

Concept introduction: Electrochemical cell is defined as a cell that generates electrical energy from a redox reaction taking place in a cell. Nernst equation used in an electrochemical cell is used to relate the standard reduction potential, reduction potential, activities and temperature in a redox reaction.

To determine: The concentration of [Ma+] and wmax of the given electrochemical cell.

Explanation of Solution

Explanation

Given

The concentration of N2+ is 0.10 M .

Ecell=0.180 V

Reaction quotient Q 0r[a1] equilibrium constant is 9.32×10−3 .

The given reaction is,

Ma++N→N2++M

The reaction quotient of the reaction is given as,

[N2+][Ma+]=Q .

The concentration of [Ma+] is calculated as per data,

[N2+][Ma+]=9.32×10−3 .

The concentration of N2+ is 0.10 M .

Substitute the value of N2+ in the above expression.

[N2+][Ma+]=9.32×10−3[0.1 M][Ma+]=9.32×10−3[Ma+]=0

Chemistry: An Atoms First Approach

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Chemistry: An Atoms First Approach

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