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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

A sample containing 0.0500 mole of Fe2(SO4)3 is dissolved in enough water to make 1.00 L of solution. This solution contains hydrated SO42− and Fe3+ ions. The latter behaves as an acid:

Fe ( H 2 O ) 6 3 + ( a q ) Fe ( H 2 O ) 5 OH 2 + ( a q ) + H + ( a q )

a. Calculate the expected osmotic pressure of this solution at 25°C if the above dissociation is negligible.

b. The actual osmotic pressure of the solution is 6.73 atm at 25°C. Calculate Ka for the dissociation reaction of Fe(H2O)63+. (To do this calculation, you must assume that none of the ions go through the semipermeable membrane. Actually, this is not a great assumption for the tiny H+ ion.)

(a)

Interpretation Introduction

Interpretation: The expected osmotic pressure of the given solution of Fe2(SO)4 and the value of Ka for the dissociation reaction of Fe(H2O)63+ is to be calculated.

Concept introduction: Osmotic pressure is the amount of pressure required to be applied across a semi-permeable membrane in order to stop the flow of solvent molecules in a solution of lower concentration to higher concentration. Osmotic pressure is a colligative property. The value of osmotic pressure is calculated by the formula.

π=i×C×R×T

To determine: The expected osmotic pressure of the given solution of Fe2(SO)4

Explanation

Explanation

The value of concentration is calculated by the formula,

Concentration(C)=NumberofmolesVolume(L)

Substitute the values of number of moles and volume for the Fe2(SO)3 solution in the above expression.

Concentration(C)=0.0500mol1LC=0.0500mol/L

The dissociation reaction of Fe2(SO)3 is,

Fe2(SO4)32Fe+3+3SO42

The above reaction clearly indicates the dissociation of 5 ion molecules. Thus, the value of i is 5.

The value of osmotic pressure is calculated by the formula,

π=i×C×R×T

Where,

  • i is the Van’t Hoff factor

(b)

Interpretation Introduction

Interpretation: The expected osmotic pressure of the given solution of Fe2(SO)4 and the value of Ka for the dissociation reaction of Fe(H2O)63+ is to be calculated.

Concept introduction: Osmotic pressure is the amount of pressure required to be applied across a semi-permeable membrane in order to stop the flow of solvent molecules in a solution of lower concentration to higher concentration. Osmotic pressure is a colligative property. The value of osmotic pressure is calculated by the formula.

π=i×C×R×T

To determine: The value of Ka for the dissociation reaction of Fe(H2O)63+.

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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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