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Li1+CoO2 is an anode for lithium batteries. Cobalt is present as a mixture of Co (III) and Co (II). Most preparations also contain inert lithium salts and moisture. To find the stoichiometry, Co was measured by atomic absorption and its average oxidation state was measured by a potentiometric tritration.39 For the titration, 25.00mg of solid were dissolved under in 5. mL containing

0.1000MFe2+in 6MH2SO4 plus6MH3PO4to give a clear pink solution:

Co3++Fe2+Co2++Fe3+

Unreacted Fe2+ required 3.228 mL of0.01593MK2Cr2O7 for complete titration.

(a) How many mmol of Co3+ are contained in 25.00mg of the material?

(b) Atomic absorption found 56.4 wt% Co in the solid. What is the average oxidation state of Co ?

(c) Find y in the formulaLi1+CoO2 .

(d) What is the theoretical quotient wt\% Li/wt\% Co in the solid? The observed quotient, after washing away inert lithium salts, was0.13880.0006.Is the observed quotient consistent with the average cobalt oxidation state?

Short Answer

Expert verified

(a) The content is as follows 0.1915mmol of Co3+.

(b) Cobalt's average oxidation state is found to be 2.80.

(c) 0.20 is discovered to be the value of y.

(d) It is discovered that the weight percentage of Li in the weight percentage of Co equals 0.1413 . This value contradicts the observed quotient.

Step by step solution

01

Definition of Oxidation number

  • The degree of oxidation (i.e. the loss of electrons) of an atom inside a chemical compound is characterised by the oxidation number.
  • The oxidation state and oxidation number are slightly different. The electronegativity of an atom in a bond should be included in the oxidation state.
  • Electronegativity, on the other hand, is not taken into account when describing oxidation number.
02

Determine the mmol of Co3+ are contained in 25.00mg of the material

(a)

Quantity of Co3+the presence of 25.00 mg It is necessary to explain some of the material.

To determine: the amount ofCo3+the presence of 25.00mg a representative sample

Initial Fe2+in 5.000mL=(5.000mL)(0.100M)=0.500mmol.

K2Cr2O7unreacted titration requirements Fe2+

=(3.228mL)(0.01593MK2Cr2O7)=0.05142mmol

Immol, on the other hand,K2Cr2O7interacts with six mols of hydrogen peroxideFe2+. This is a strong reaction,

K2Cr2O7+6Fe2++14H+2Cr3++6Fe3++2k++14H2O

So,Fe2+ following the reaction withLi1+yCoO2

=0.05142mmol6mmolFe2+/mmolK2Cr2O7=0.3085mmolCo3+consumedFe2+=0.5000-0.3085=0.1915mmol

Imol Co consumed1molFe2+, thereforelocalid="1667556359366" Co3+=0.1915mmol in a 25.00mg solid sample

03

Determine the average oxidation state of Co

(b)

Cobalt's average oxidation state must be established.

To find out what the average oxidation state of Co Cobalt is in 50.00mg solid = (0.564g Co/gsolid) (25.00 g solid) = 14.10mg

Cobalt in 25.00mg solid =(14.10mg)(58.933g/mol)=0.2393mmol

We know from component (a) that Co3+=0.1915mmol, therefore

Co2+=0.2393-0.1915=0.0478mmol

Oxidation state ofCo=(0.4987mmal)(2+)(0.1915mmol)(3+)0.2392mmol

=2.80

Cobalt's average oxidation state is found to be 2.80.

04

Determine the y in the formula Li1+CoO2 .

(c)

In the formula, the value of y isLi1+yCoO2 It must be discovered.

To determine: y's value

Lithium should provide a charge of 1.20 if Cobalt has an average oxidation state of +2.80 and Oxygen has an oxidation state of -2, i.e. 4-2.80=1.20. As a result, the formula Li1+0.20CoO2and y has a value of 0.20.

05

Determine the theoretical quotient wt\% Li/wt\% Co in the solid

(d)

Theoretical quotient weight percentage of L I in weight percentage of Co must be determined, and the observed quotient must be interpreted in terms of Cobalt's average oxidation state.

The mass percentage or weight percentage of a compound can be computed by multiplying the calculated mass of the substance by 100 to get the total mass of the sample.

The formula for calculating mass percent is Mass percent (inpercentage) =(Culculatedmass(ingrams)(totulmass(ingrams)100

To determine: L i's weight percentage in Co's weight percentage Theoretical metal weight percentages in Li1.20CoO2is

Formula mass

=1.20(6.941)+1(58.933)+2(15.9994)=99.261

Weight%ofLi=1001.20(6.941)/99.261=8.39%

Weightlocalid="1667556247196" %ofCo=10058.933/99.261=59.37%

localid="1667556259358" Weight%ofLiWeight%ofCo=8.39%59.37%=0.1413

To explain: the measured fraction is consistent with Cobalt's average oxidation state. The observed ratio of Lithium weight % to Cobalt weight percentage is0.13880.0006.The quotient calculated from the oxidation number is not exactly equal to this.

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