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Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097

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BuyFindarrow_forward

Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097
Textbook Problem

An electrochemical cell consists of a silver metal electrode immersed in a solution with [Ag+] = 1.00 M separated by a porous disk from a compartment with a copper metal electrode immersed in a solution of 10.00 M NH3 that also contains 2.4 × 10−3 M Cu(NH3)42+. The equilibrium between Cu2+ and NH3 is:

Cu 2 + ( a q ) + 4 NH 3 ( a q ) Cu ( N H 3 ) 4 2 + ( a q ) K = 1.0 × 10 13

and the two cell half-reactions are:

Chapter 18, Problem 138CWP, An electrochemical cell consists of a silver metal electrode immersed in a solution with [Ag+] =

Assuming Ag+ is reduced, what is the cell potential at 25°C?

Interpretation Introduction

Interpretation:

An electrochemical cell consisting of Silver and Copper electrode dipped in Ammonia solution and its equilibrium constant is given. The value of cell potential at 25°C for the given cell is to be calculated.

Concept introduction:

The relationship between reduction potential and standard reduction potential value and activities of species present in an electrochemical cell at a given temperature is given by the Nernst equation.

The value of Ecell is calculated using Nernst formula,

E=E°(RTnF)ln(Q)

At room temperature, the above equation specifies as,

E=E°(0.0591n)log(Q)

To determine: The value of cell potential at 25°C for the given cell.

Explanation

Given,

The concentration of Ag+ is 1.00M .

The concentration of NH3 solution is 1.00M .

The concentration of NH3 solution is 1.00M .

The concentration of [Cu(NH3)4]2+ solution is 2.4×103M .

The value of the equilibrium constant is 1.0×1013

The equilibrium reaction is,

Cu2+(aq)+4NH3(aq)[Cu(NH3)4]2+(aq)

The reaction taking place at the cathode is,

Ag++eAgE°red=0.80V

The reaction taking place at the anode is,

CuCu2++2eE°OX=0.34V

Multiply reduction half-reaction with a coefficient of 2 and then add both the reactions as,

2Ag++2e2AgCuCu2++2e

The final equation is,

2Ag++Cu2Ag+Cu2+

The value of E°cell is given as,

E°cell=E°ox+E°red

Where,

  • E°ox is the oxidation potential of the electrode.
  • E°red is the reduction potential of the electrode.

Substitute the values of E°ox and E°red in the above equation as,

E°cell=E°ox+E°red=0

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Chapter 18 Solutions

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Ch-18 P-2ALQCh-18 P-3ALQCh-18 P-4ALQCh-18 P-5ALQCh-18 P-6ALQCh-18 P-7ALQCh-18 P-8ALQCh-18 P-9ALQCh-18 P-10ALQCh-18 P-11ALQCh-18 P-12ALQCh-18 P-13ALQCh-18 P-14ALQCh-18 P-15RORRCh-18 P-16RORRCh-18 P-17RORRCh-18 P-18RORRCh-18 P-19QCh-18 P-20QCh-18 P-21QCh-18 P-22QCh-18 P-23QCh-18 P-24QCh-18 P-25QCh-18 P-26QCh-18 P-27QCh-18 P-28QCh-18 P-29ECh-18 P-30ECh-18 P-31ECh-18 P-32ECh-18 P-33ECh-18 P-34ECh-18 P-35ECh-18 P-36ECh-18 P-37ECh-18 P-38ECh-18 P-39ECh-18 P-40ECh-18 P-41ECh-18 P-42ECh-18 P-43ECh-18 P-44ECh-18 P-45ECh-18 P-46ECh-18 P-47ECh-18 P-48ECh-18 P-49ECh-18 P-50ECh-18 P-51ECh-18 P-52ECh-18 P-53ECh-18 P-54ECh-18 P-55ECh-18 P-56ECh-18 P-57ECh-18 P-58ECh-18 P-59ECh-18 P-60ECh-18 P-61ECh-18 P-62ECh-18 P-63ECh-18 P-64ECh-18 P-65ECh-18 P-66ECh-18 P-68ECh-18 P-69ECh-18 P-70ECh-18 P-71ECh-18 P-72ECh-18 P-73ECh-18 P-74ECh-18 P-75ECh-18 P-76ECh-18 P-77ECh-18 P-78ECh-18 P-79ECh-18 P-80ECh-18 P-81ECh-18 P-82ECh-18 P-83ECh-18 P-84ECh-18 P-85ECh-18 P-86ECh-18 P-87ECh-18 P-88ECh-18 P-89ECh-18 P-90ECh-18 P-91ECh-18 P-92ECh-18 P-93ECh-18 P-94ECh-18 P-95ECh-18 P-96ECh-18 P-97ECh-18 P-98ECh-18 P-99ECh-18 P-100ECh-18 P-101ECh-18 P-102ECh-18 P-103ECh-18 P-104ECh-18 P-105ECh-18 P-106ECh-18 P-107ECh-18 P-108ECh-18 P-109ECh-18 P-110ECh-18 P-111ECh-18 P-112ECh-18 P-113AECh-18 P-114AECh-18 P-115AECh-18 P-116AECh-18 P-117AECh-18 P-118AECh-18 P-119AECh-18 P-120AECh-18 P-121AECh-18 P-122AECh-18 P-123AECh-18 P-124AECh-18 P-125AECh-18 P-126AECh-18 P-127AECh-18 P-128AECh-18 P-129AECh-18 P-130AECh-18 P-131AECh-18 P-132AECh-18 P-133AECh-18 P-134CWPCh-18 P-135CWPCh-18 P-136CWPCh-18 P-137CWPCh-18 P-138CWPCh-18 P-139CWPCh-18 P-140CPCh-18 P-141CPCh-18 P-142CPCh-18 P-143CPCh-18 P-144CPCh-18 P-145CPCh-18 P-146CPCh-18 P-147CPCh-18 P-148CPCh-18 P-149CPCh-18 P-150CPCh-18 P-151CPCh-18 P-152CPCh-18 P-153CPCh-18 P-154CPCh-18 P-155IPCh-18 P-156IPCh-18 P-157IPCh-18 P-158IPCh-18 P-159MPCh-18 P-160MP

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