Find [Ca2+] in 0.10 M CaY2- at pH 8.00

Short Answer

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The concentration of [Ca2+] is 2.3×10-5Min 0.10 M CaY2- at pH 8.00.

Step by step solution

01

Introduction

The fraction of all free EDTA (in Y4- format) is expressed in terms of αY4-. It can be expressed as

αY4-=Y4-H6Y2++H5Y++H4Y+H3Y-+H2Y2-+HY3-+Y4-

From table 12-1 it was found that for, αY4-=4.2×10-3

From table 12-2 it was found that for CaY2-,Kf=1010.65

02

Determine the conditional formation constant

Kf'=αY4-KfKf'=4.2×10-3×1010.65=4.2×107.65

03

Determine concentration of [Ca2+]

Ca2++EDTACaY2-InitialConcentration000.1FinalConcentrationxx0.1-x

From the above ICE table we can write

CaY2-Ca2+EDTA=Kf'0.1-xx2=4.2×107.65x=2.3×10-5

Therefore, the concentration of [Ca2+] is 2.3×10-5M

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Most popular questions from this chapter

Spreadsheet equation for formation of the complexes ML and ML2.Consider the titration of metal M (initial concentration = CM, initial volume = VM) with ligand L (concentration = CL, volume added = VL), which can form 1:1 and 2 : 1 complexes:

M+LMLβ1=[ML][M][L]M+2LML2β2=[ML2][M][L]2

Let αM be the fraction of metal in the form M, αML be the fraction in the form ML, and αML2 be the fraction in the form ML2. Following the derivation in Section 12-5, you could show that these fractions are given by

αM=11+β1[L]+β2[L]2αML=(β1[L])1+β1[L]+β2[L]2αML2=β2[L]21+β1[L]+β2[L]2

The concentrations of ML and ML2 are

[ML]=αMLCMVMVM+VL[ML]=αML2CMVMVM+VL

becauseCMVMVM+VL is the total concentration of all metal in the solution. The mass balance for ligand is

[L]+[ML]+2[ML2]=CLVLVM+VL

By substituting expressions for [ML] and [ML2] into the mass balance, show that the master equation for a titration of metal by ligand is

ϕ=CLVLCMVM=αML+2αML2+LCM1-LCL

State the purpose of an auxiliary complexing agent and give an example of its use.

Calculate pCu2+ at each of the following points in the titration of 50.00 mL of 0.001 00 M Cu2+ with 0.00100 M EDTA at pH 11.00 in a solution with [NH3] fixed at 1.00 M:

(a) 0 mL(b) 1.00 mL (c) 45.00 mL (d) 50.00 mL (e) 55.00 mL

A 1.000-mL sample of unknown containing Co2+ and Ni2+ was treated with 25.00 mL of 0.038 72 M EDTA. Back titration with 0.021 27 M Zn2+ at pH 5 required 23.54 mL to reach the xylenol orange end point. A 2.000-mL sample of unknown was passed through an ion-exchange column that retards Co2+ more than Ni2+. The Ni2+ that passed through the column was treated with 25.00 mL of 0.038 72 M EDTA and required 25.63 mL of 0.021 27 M Zn2+ for back titration. The Co2+ emerged from the column later. It, too, was treated with 25.00 mL of 0.038 72 M EDTA. How many milliliters of 0.021 27 M Zn2+ will be required for back titration?

Consider the titration of 25.0 mL of 0.020 0 M MnSO4 with 0.010 0 M EDTA in a solution buffered to pH 8.00. Calculate pMn2+ at the following volumes of added EDTA and sketch the titration curve:

(a) 0 mL (b) 20.0 mL (c) 40.0 mL (d) 49.0 mL (e) 49.9 mL (f) 50.0 mL (g) 50.1 mL(h) 55.0 mL (i) 60.0 mL

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