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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

Determine [OH], [H+], and the pH of each of the following solutions.

a. 1.0 M KCl

b. 1.0 M KC2H3O2

(a)

Interpretation Introduction

Interpretation: The [OH] , [H+] and the pH value for each of the given solutions to be calculated.

Concept introduction: The pH of a solution is defined as a figure that expresses the acidity of the alkalinity of a given solution.

The pOH of a solution is calculated by the formula, pOH=log[OH]

The sum, pH+pOH=14

At equilibrium, the equilibrium constant expression is expressed by the formula,

Ka=ConcentrationofproductsConcentrationofreactants

The value of Kw is calculated by the formula,

Kw=KaKb

To determine: The [OH] , [H+] and the pH value for the given solutions of 1.0M KCl .

Explanation

Explanation

The equilibrium constant expression for the given reaction is, Kb=[HCl][OH][Cl]

The dominant equilibrium reaction is,

Cl-(aq)HCl(aq)+OH-(aq)

At equilibrium, the equilibrium constant expression is expressed by the formula,

Kb=ConcentrationofproductsConcentrationofreactants

Where,

  • Kb is the base ionization constant.

The equilibrium constant expression for the given reaction is,

Kb=[HCl][OH][Cl] (1)

The Kb value is 7.692×10-9_ .

The value, Kw=KaKb

The value of Ka for HCl is 1.3×106 .

The value of Kb is calculated by the formula,

Kb=KwKa

Substitute the value of Ka in the above expression.

Kb=1.0×10141.3×106=7.692×10-9_

The [OH] is 8.77×10-5M_ .

The change in concentration of Cl is assumed to be x .

The liquid components do not affect the value of the rate constant.

The ICE table for the stated reaction is,

Cl(aq)HCl(aq)+OH(aq)Inititialconcentration1.000Changex+x+xEquilibriumconcentration1.0xxx

The equilibrium concentration of [Cl] is (1.0x)M .

The equilibrium concentration of [HCl] is xM .

The equilibrium concentration of [OH] is xM .

The calculated value of Kb is 7.692×109 .

Substitute the value of Kb , [Cl] , [HCl] and [OH] in equation (1)

(b)

Interpretation Introduction

Interpretation: The [OH] , [H+] and the pH value for each of the given solutions to be calculated.

Concept introduction: The pH of a solution is defined as a figure that expresses the acidity of the alkalinity of a given solution.

The pOH of a solution is calculated by the formula, pOH=log[OH]

The sum, pH+pOH=14

At equilibrium, the equilibrium constant expression is expressed by the formula,

Ka=ConcentrationofproductsConcentrationofreactants

The value of Kw is calculated by the formula,

Kw=KaKb

To determine: The [OH] , [H+] and the pH value for the given solutions of 1.0M KC2H3O2 .

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Chapter 14 Solutions

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Ch-14 P-1ALQCh-14 P-2ALQCh-14 P-3ALQCh-14 P-4ALQCh-14 P-5ALQCh-14 P-6ALQCh-14 P-7ALQCh-14 P-8ALQCh-14 P-9ALQCh-14 P-10ALQCh-14 P-11ALQCh-14 P-12ALQCh-14 P-13ALQCh-14 P-14ALQCh-14 P-15ALQCh-14 P-16ALQCh-14 P-17ALQCh-14 P-18ALQCh-14 P-19QCh-14 P-20QCh-14 P-21QCh-14 P-22QCh-14 P-23QCh-14 P-24QCh-14 P-25QCh-14 P-26QCh-14 P-27QCh-14 P-28QCh-14 P-29QCh-14 P-30QCh-14 P-31QCh-14 P-32QCh-14 P-33QCh-14 P-34QCh-14 P-35ECh-14 P-36ECh-14 P-37ECh-14 P-38ECh-14 P-39ECh-14 P-40ECh-14 P-41ECh-14 P-42ECh-14 P-43ECh-14 P-44ECh-14 P-45ECh-14 P-46ECh-14 P-47ECh-14 P-48ECh-14 P-49ECh-14 P-50ECh-14 P-51ECh-14 P-52ECh-14 P-53ECh-14 P-54ECh-14 P-55ECh-14 P-56ECh-14 P-57ECh-14 P-58ECh-14 P-59ECh-14 P-60ECh-14 P-61ECh-14 P-62ECh-14 P-63ECh-14 P-64ECh-14 P-65ECh-14 P-67ECh-14 P-68ECh-14 P-69ECh-14 P-70ECh-14 P-72ECh-14 P-73ECh-14 P-74ECh-14 P-75ECh-14 P-76ECh-14 P-77ECh-14 P-78ECh-14 P-79ECh-14 P-80ECh-14 P-81ECh-14 P-82ECh-14 P-83ECh-14 P-84ECh-14 P-85ECh-14 P-86ECh-14 P-87ECh-14 P-88ECh-14 P-89ECh-14 P-90ECh-14 P-91ECh-14 P-92ECh-14 P-93ECh-14 P-94ECh-14 P-95ECh-14 P-96ECh-14 P-97ECh-14 P-99ECh-14 P-100ECh-14 P-101ECh-14 P-102ECh-14 P-103ECh-14 P-104ECh-14 P-105ECh-14 P-106ECh-14 P-107ECh-14 P-108ECh-14 P-109ECh-14 P-110ECh-14 P-111ECh-14 P-112ECh-14 P-113ECh-14 P-114ECh-14 P-115ECh-14 P-116ECh-14 P-117ECh-14 P-118ECh-14 P-119ECh-14 P-120ECh-14 P-121ECh-14 P-122ECh-14 P-123ECh-14 P-124ECh-14 P-125ECh-14 P-126ECh-14 P-127ECh-14 P-128ECh-14 P-129ECh-14 P-130ECh-14 P-131ECh-14 P-132ECh-14 P-133ECh-14 P-134ECh-14 P-135ECh-14 P-136ECh-14 P-137ECh-14 P-138ECh-14 P-139ECh-14 P-140ECh-14 P-141ECh-14 P-142ECh-14 P-143AECh-14 P-144AECh-14 P-145AECh-14 P-146AECh-14 P-147AECh-14 P-148AECh-14 P-149AECh-14 P-150AECh-14 P-151AECh-14 P-152AECh-14 P-153AECh-14 P-154AECh-14 P-155AECh-14 P-156AECh-14 P-157AECh-14 P-158AECh-14 P-159AECh-14 P-160AECh-14 P-161AECh-14 P-162CWPCh-14 P-163CWPCh-14 P-164CWPCh-14 P-165CWPCh-14 P-166CWPCh-14 P-167CWPCh-14 P-168CWPCh-14 P-169CWPCh-14 P-170CPCh-14 P-171CPCh-14 P-172CPCh-14 P-173CPCh-14 P-174CPCh-14 P-175CPCh-14 P-176CPCh-14 P-177CPCh-14 P-178CPCh-14 P-179CPCh-14 P-180CPCh-14 P-181CPCh-14 P-182CPCh-14 P-183CPCh-14 P-184CPCh-14 P-185CPCh-14 P-186CPCh-14 P-187IPCh-14 P-188IPCh-14 P-189IPCh-14 P-190MPCh-14 P-191MP

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