Chemistry: The Science in Context (Fifth Edition)
Chemistry: The Science in Context (Fifth Edition)
5th Edition
ISBN: 9780393614046
Author: Thomas R. Gilbert, Rein V. Kirss, Natalie Foster, Stacey Lowery Bretz, Geoffrey Davies
Publisher: W. W. Norton & Company
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Chapter 16, Problem 16.71QP
Interpretation Introduction

Interpretation: The concentration of cobalt ion complex on dissolving the given moles of Co(NO3)2 in the aqueous solution of given moles of ammonia and ethylenediamine in the give volume of the solution is to be calculated.

Concept introduction: The complex ion formation constant is given by the formula,

Kf=[Co(en)32+][Co2+][en]3

Kf=[Co(NH3)62+][Co2+][NH3]6

To determine: The concentration of cobalt ion complex in the aqueous solution of ammonia and ethylenediamine.

Expert Solution & Answer
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Answer to Problem 16.71QP

Solution:

The concentration of cobalt ion complex in the aqueous solution of ammonia and ethylenediamine is 0.00115M_ .

Explanation of Solution

Given

The number of moles of Co(NO3)2 is 0.00100mol .

The number of moles of ethylenediamine is 0.100mol .

The number of moles of ammonia is 0.100mol .

The total volume of the solution is 1.0L

The molar concentration is calculated by the formula,

Molarconcentration=NumberofmolesVolumeofsolution (1)

Substitute the value of number of moles of Co(NO3)2 and the volume of the solution in equation (1).

Molarconcentration=0.00100mol1.0L=0.001M

Substitute the value of number of moles of NH3 and the volume of the solution in equation (1).

Molarconcentration=0.100mol1.0L=0.1M

Substitute the value of number of moles of ethylenediamine and the volume of the solution in equation (1).

Molarconcentration=0.100mol1.0L=0.1M

Cobalt nitrate on dissolving in the aqueous solution of ethylenediamine forma a complex ion with ethylenediamine as,

Co2++3enCo(en)32+

The complex ion formation constant, Kf , of Co(en)32+ is 8.7×1013 .

The concentration of formation of Co(en)32+ complex is assumed to be x .

The ICE table for the formation of Co(en)32+ is given as,

Co2++3(en)Co(en)32+Initial(M):0.0010.10Change(M):xx+xFinal(M):0.001x0.1xx

The complex ion formation constant is given by the formula,

Kf=[Co(en)32+][Co2+][en]3

Substitute the value of Kf , [Co(en)32+] , [Co2+] and [en] in the above equation.

8.7×1013=x0.001x(0.1x)3

The value of x is neglected since its value is very small compared to 0.1 .

Therefore, the above equation becomes,

8.7×1013=x(0.001x)(0.1)38.7×1010×(0.001x)=x8.7×1078.7×1010x=xx=0.001M

Therefore, the concentration of Co(en)32+ is 0.001M .

Cobalt nitrate on dissolving in the aqueous solution of ammonia forma a complex ion with ammonia as,

Co2++6NH3Co(NH3)62+

The complex ion formation constant, Kf , of Co(NH3)62+ is 1.3×105 .

The concentration of formation of Co(NH3)62+ complex is assumed to be x .

The ICE table for the formation of Co(NH3)62+ is given as,

Co2++6NH3Co(NH3)62+Initial(M):0.0010.10Change(M):xx+xFinal(M):0.001x0.1xx

The complex ion formation constant is given by the formula,

Kf=[Co(NH3)62+][Co2+][NH3]6

Substitute the value of Kf , [Co(NH3)62+] , [Co2+] and [NH3] in the above equation.

1.3×105=x0.001x(0.1x)6

The value of x is neglected since its value is very small compared to 0.1 .

Therefore, the above equation becomes,

1.3×105=x(0.001x)(0.1)60.13×(0.001x)=x1.3×1040.13x=xx=0.00015M

Therefore, the concentration of Co(NH3)62+ is 0.00015M .

The total amount of cobalt ion complex is present as both Co(en)32+ and Co(NH3)62+ .

Therefore, the concentration of Co(H2O)62+ is 0.001+0.00015=0.00115M_

Conclusion:

The concentration of in Co(H2O)62+ the aqueous solution of ammonia and ethylenediamine is 0.00115M_

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Chapter 16 Solutions

Chemistry: The Science in Context (Fifth Edition)

Ch. 16.4 - Prob. 11PECh. 16.4 - Prob. 12PECh. 16.5 - Prob. 13PECh. 16.6 - Prob. 14PECh. 16.8 - Prob. 15PECh. 16.8 - Prob. 16PECh. 16.8 - Prob. 17PECh. 16.8 - Prob. 18PECh. 16.8 - Prob. 19PECh. 16 - Prob. 16.1VPCh. 16 - Prob. 16.2VPCh. 16 - Prob. 16.3VPCh. 16 - Prob. 16.4VPCh. 16 - Prob. 16.5VPCh. 16 - Prob. 16.6VPCh. 16 - Prob. 16.7VPCh. 16 - Prob. 16.8VPCh. 16 - Prob. 16.9VPCh. 16 - Prob. 16.10VPCh. 16 - Prob. 16.11QPCh. 16 - Prob. 16.12QPCh. 16 - Prob. 16.13QPCh. 16 - Prob. 16.14QPCh. 16 - Prob. 16.15QPCh. 16 - Prob. 16.16QPCh. 16 - Prob. 16.17QPCh. 16 - Prob. 16.18QPCh. 16 - Prob. 16.19QPCh. 16 - Prob. 16.20QPCh. 16 - Prob. 16.21QPCh. 16 - Prob. 16.22QPCh. 16 - Prob. 16.23QPCh. 16 - Prob. 16.24QPCh. 16 - Prob. 16.25QPCh. 16 - Prob. 16.26QPCh. 16 - Prob. 16.27QPCh. 16 - Prob. 16.28QPCh. 16 - Prob. 16.29QPCh. 16 - Prob. 16.30QPCh. 16 - Prob. 16.31QPCh. 16 - Prob. 16.32QPCh. 16 - Prob. 16.33QPCh. 16 - Prob. 16.34QPCh. 16 - Prob. 16.35QPCh. 16 - Prob. 16.36QPCh. 16 - Prob. 16.37QPCh. 16 - Prob. 16.38QPCh. 16 - Prob. 16.39QPCh. 16 - Prob. 16.40QPCh. 16 - Prob. 16.41QPCh. 16 - Prob. 16.42QPCh. 16 - Prob. 16.43QPCh. 16 - Prob. 16.44QPCh. 16 - Prob. 16.45QPCh. 16 - Prob. 16.46QPCh. 16 - Prob. 16.47QPCh. 16 - Prob. 16.48QPCh. 16 - Prob. 16.49QPCh. 16 - Prob. 16.50QPCh. 16 - Prob. 16.51QPCh. 16 - Prob. 16.52QPCh. 16 - Prob. 16.53QPCh. 16 - Prob. 16.54QPCh. 16 - Prob. 16.55QPCh. 16 - Prob. 16.56QPCh. 16 - Prob. 16.57QPCh. 16 - Prob. 16.58QPCh. 16 - Prob. 16.59QPCh. 16 - Prob. 16.60QPCh. 16 - Prob. 16.61QPCh. 16 - Prob. 16.62QPCh. 16 - Prob. 16.63QPCh. 16 - Prob. 16.64QPCh. 16 - Prob. 16.65QPCh. 16 - Prob. 16.66QPCh. 16 - Prob. 16.67QPCh. 16 - Prob. 16.68QPCh. 16 - Prob. 16.69QPCh. 16 - Prob. 16.70QPCh. 16 - Prob. 16.71QPCh. 16 - Prob. 16.72QPCh. 16 - Prob. 16.73QPCh. 16 - Prob. 16.74QPCh. 16 - Prob. 16.75QPCh. 16 - Prob. 16.76QPCh. 16 - Prob. 16.77QPCh. 16 - Prob. 16.78QPCh. 16 - Prob. 16.79QPCh. 16 - Prob. 16.80QPCh. 16 - Prob. 16.81QPCh. 16 - Prob. 16.82QPCh. 16 - Prob. 16.83QPCh. 16 - Prob. 16.84QPCh. 16 - Prob. 16.85QPCh. 16 - Prob. 16.86QPCh. 16 - Prob. 16.87QPCh. 16 - Prob. 16.88QPCh. 16 - Prob. 16.89QPCh. 16 - Prob. 16.90QPCh. 16 - Prob. 16.91QPCh. 16 - Prob. 16.92QPCh. 16 - Prob. 16.93QPCh. 16 - Prob. 16.94QPCh. 16 - Prob. 16.95QPCh. 16 - Prob. 16.96QPCh. 16 - Prob. 16.97QPCh. 16 - Prob. 16.98QPCh. 16 - Prob. 16.99QPCh. 16 - Prob. 16.100QPCh. 16 - Prob. 16.101QPCh. 16 - Prob. 16.102QPCh. 16 - Prob. 16.103QPCh. 16 - Prob. 16.104QPCh. 16 - Prob. 16.105QPCh. 16 - Prob. 16.106QPCh. 16 - Prob. 16.107QPCh. 16 - Prob. 16.108QPCh. 16 - Prob. 16.109QPCh. 16 - Prob. 16.110QPCh. 16 - Prob. 16.111APCh. 16 - Prob. 16.112APCh. 16 - Prob. 16.113APCh. 16 - Prob. 16.114APCh. 16 - Prob. 16.115APCh. 16 - Prob. 16.116APCh. 16 - Prob. 16.117APCh. 16 - Prob. 16.118AP
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