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According to Appendix I, Cu2+ forms two complexes with acetate:

Cu2++CH3CO2−⇌Cu(CH3CO2)+ â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰Î²1(=K1)Cu2++2CH3CO2−⇌Cu(CH3CO2)2 â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰Î²2

(a) Referring to Box 6-2, find K2 for the reaction

Cu(CH3CO2)++CH3CO2−⇌Cu(CH3CO2)2(aq) â¶Ä‰â¶Ä‰K2

(b) Consider 1.00 L of solution prepared by mixing 1.00 × 10-4 mol Cu(ClO4)2 and 0.100 mol CH3CO2Na. Use Equation 12-16 to find the fraction of copper in the form Cu2+


Short Answer

Expert verified

(a) The value of K2 for the reaction will be 25.12

(b) The fraction of copper in the form Cu2+ will be 0.017

Step by step solution

01

Information Given

Equations given

Cu2++CH3CO2−⇌CuCH3CO2+ â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰Î²1=K1Cu2++2CH3CO2−⇌CuCH3CO22 â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰Î²2CuCH3CO2++CH3CO2−⇌CuCH3CO22aq â¶Ä‰â¶Ä‰K2

From Appendix I the following values were obtained for calculation

log β1=2.23log β2=3.63

As per equation 12-16 we can write

Fraction of free metal ion(copper ion)

02

Determine the expression for K2

β1=CuCH3CO2+CH3CO2−Cu2+β2=CuCH3CO22 â¶Ä‰CH3CO2−2Cu2+K2=CuCH3CO22 â¶Ä‰CuCH3CO2+CH3CO2−=CuCH3CO22 â¶Ä‰CH3CO2−2Cu2+×CH3CO2−Cu2+CuCH3CO2+=β2×1β1=β2β1

03

a) Determine the value of K2

β2=K1K2β2=β1K2K2=β2β1K2=103.63102.23=101.4=25.12

The value of K2 for the reaction will be 25.12

04

b) Determine the fraction of copper ion 

The fraction of copper in the form Cu2+ will be 0.017

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