Quantitative Chemical Analysis 9e And Sapling Advanced Single Course For Analytical Chemistry (access Card)
Quantitative Chemical Analysis 9e And Sapling Advanced Single Course For Analytical Chemistry (access Card)
9th Edition
ISBN: 9781319090241
Author: Daniel C. Harris, Sapling Learning
Publisher: W. H. Freeman
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Chapter 10, Problem 10.11P

(a)

Interpretation Introduction

Interpretation:

The expressions for KH, Ka1 and Ka2 combined and then find an expression for [CO32-] in terms of   PCO2and[H+] has to be derived.

(a)

Expert Solution
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Explanation of Solution

The expressions for KH, Ka1 and Ka2 as derive as

equationC,[CO32-]=Ka2[HCO3-][H+](F)equationB,[HCO3-]=Ka1[CO2(aq)][H+](G)[HCO3-]valueissubstitutedequationGintoequationH[CO32-]=Ka2Ka1[CO2(aq)][H+]2(H)

[CO32-]=Ka2Ka1PCO2[H+]2(I)

(b)

Interpretation Introduction

Interpretation:

The given conditions is possibly be reached around the year 2100 has to predicted.

(b)

Expert Solution
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Explanation of Solution

Given,

PCO2=800μbar,pH=7.8,0oCwefind

[CO32-]=Ka2Ka1KHPCO2[H+]2

10-9.3762molkg-110-6.1004molkg-110-1.2073molkg-1bar-1(800×10-6bar)[10-7.8molkg-1]2=6.6×10-5molkg-1

PCO2=800μbar,pH=7.8,30oCwefind

[CO32-]=Ka2Ka1KHPCO2[H+]2

10-8.8324molkg-110-5.8008molkg-110-1.6048molkg-1bar-1(800×10-6bar)[10-7.8molkg-1]2=1.8×10-4molkg-1

(c)

Interpretation Introduction

Interpretation:

The aragonite and calcite dissolve under the condition has to be predicted.

(c)

Expert Solution
Check Mark

Explanation of Solution

Equilibrium expressions for aragonite and calcite are

CaCO3(s,aragonite)Ca2++CO32-(D)

Ksparg=[Ca2+][CO32-]=10-6.1113mol2kg-2at0oC=10-6.1113mol2kg-2at30oC

CaCO3(s,calcite)Ca2++CO32-(E)

Ksparg=[Ca2+][CO32-]=10-6.3652mol2kg-2at0oC=10-6.3713mol2kg-2at30oC

Reaction quotient at 0oC

[Ca2+][CO32-]=[0.010molkg-1][6.6×10-5molkg-1]=6.6×10-7mol2kg-2=10-6.18mol2kg-2<10-6.1113mol2kg-2aragoniteisdissolve

Reaction quotient at 30oC is

[Ca2+][CO32-]=[0.010molkg-1][1.84×10-4molkg-1]=1.84×10-6mol2kg-2=10-5.74mol2kg-2>10-6.1113mol2kg-2hence neither aragonitenorcalcite

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