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ChemistryChemistry9th Edition

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Chapter 14, Problem 171CP
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Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097

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Chemistry

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

Calculate the pH of a 1.0 × 10−7-M solution of NaOH in water.

Interpretation Introduction

Interpretation: The concentration of NaOH solution in water is given. By using this value, the pH value of NaOH in water is to be calculated.

Concept introduction: The pH value is the measure of H+ ions. The pH is calculated using the formula,

pH=−log10[H+]

Explanation

Explanation

To determine: The pH value of NaOH solution in water.

The concentration of H+ ion is 6.18×10−8 M_ .

Given

The concentration of OH− from NaOH is 1.0×10−7 M .

The pH can be calculated by considering the relationship between the molarities of three principle ion solution Na+, H2O and OH− .

The autoionization of water involves formation of hydroxide ion and H+ ion due to transfer of a proton from one water molecule to another.

The reaction of ionization of water is,

H2O(l)⇌H+(aq)+OH−(aq)

It is assumed that the change in concentration of [H+] is x .

Make the ICE table for the above reaction.

H2O(l)⇌H+(aq)OH−(aq)Initial:        01.0×10−7Chang:        xxEquilibrium:x1.0×10−7+x

The ion product constant for water is given as,

Kw=[H+][OH−]

Where,

  • Kw is ion product constant of water (1

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Ch-14 P-1RQCh-14 P-2RQCh-14 P-3RQCh-14 P-4RQCh-14 P-5RQCh-14 P-6RQCh-14 P-7RQCh-14 P-8RQCh-14 P-9RQCh-14 P-10RQ
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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