2 1 Analytical Teachniques Titrtion 2013 Part 1 of 25
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Transcript of 2 1 Analytical Teachniques Titrtion 2013 Part 1 of 25
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Subtopic 2.1: Volumetric Analysis 1
To identify the constituent(s) and to
determine its amount in the sam le
Titrimetric
analysis
Gravimetric
analysis
Instrumental
analysis
Examples
1. Acid-base Titration
2. Redox Titration
3. Indirect Titration
4. Back Titration
Examples
To analyse chlorideion in water.
Ag+(aq)+ Cl
-(aq)
AgCl(s)
Examples
1. Atomic Absorption
Spectroscopy (AAS)2. UV-Visible
Spectroscopy
3. Mass Spectroscopy4. Nuclear Magnetic
Resonance (NMR)
Chromatography
To identify the
organic compounds
in a mixture
Qualitative Analysis
To identify the constituent(s) in
the sam le
Flame Test
To identify
the metal
ions
Topic 2 - Analytical Techniques
Quantitative Analysis
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Subtopic 2.1: Volumetric Analysis 2
Assumed Knowledge
Reactions
Oxidation is defined as the gain of oxygen, the loss of electrons, or the increase in oxidation number. (2, 3, 4) Reduction is defined as the loss of oxygen, the gain of electrons, or the decrease in oxidation number. (2, 3, 4) Oxidation and reduction are complementary processes. (2, 3, 4) When electrons are transferred in a reaction, half-equations can be written for the gain and the loss of electrons; full
equations can be written by combining two half-equations. (2, 3, 4)
Chemical Calculations
The quantities of different substances can be conveniently compared by the use of the mole as a unit. (2) The molar mass of a substance can be derived by the addition of the relative atomic masses of the elements present, with
the answer expressed in grams. (2)
The amount of a substance (in moles) is related to the mass, m (in grams), and the molar mass, M (in g mol -1). (2) The molar concentration (or molarity), c (in mol L -1), of a solution is related to the amount of solute, n (in moles), and the
volume of the solution, V(in litres). (2)
The concentration of a solution can be related to the mass of solute (in grams) and the volume of the solution (in litres).(2)
The relative amounts (in moles) of substances reacted or produced during a reaction are indicated by the coefficients inthe balanced equation for the reaction. (2)
Given the equation for a reaction, the quantity of one reactant or product involved in a chemical reaction can be used todetermine the quantity of another. (2)
Numerical answers are limited by the least accurate data used in the calculation. (2) Large and small quantities are more conveniently expressed by means of scientific notation. (2) Calculators frequently display scientific notation in different ways. (2) Substances vary in density, which is the mass of material per unit volume. (2)
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Subtopic 2.1: Volumetric Analysis 3
Basic Terms Symbols Units
1.Amount of substances or
no. of molesn mol
2. Relative Atomic Mass A r -
3.Relative molecular/formula
MassM r -
4. Molar Mass M gmol-1
5. Mass m g
6. Volume V mL
7. Concentration
(i)Molarity
Concentration in molL-1
cin molL
-1molL
-1
(ii) Concentration in gL-1
cin gL-1
gL-1
(iii) Percentage in w/w %w/w %
(iv) Percentage in w/v %w/v %
(v) Percentage in v/v %v/v %
(vi) Parts per million cin ppm ppm
(vii) Parts per billion cin ppb ppb
M in analytical chemistry is abbreviation for 3 chemical terms:
1. Molarity - widely used in SPM or O-level or equivalent however in SAM, we used c to represent it.2. Molar mass3. To represent concentration in molL-1 e.g. 0.123 M means 0.123 molL-1.
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Subtopic 2.1: Volumetric Analysis 4
Significant figures in chemistry calculation
number Scientific notation Significant figures
0.123 1.23 x 10-1
3
0.0123 1.23 x 10-2
3
0.0120 1.20 x 10-2
3
123 1.23 x 102
3
120.0 1.200 x 102
4
120 1.2 x 102
2
500 5 x 102
1
Consider these questions
(a) 123 x 31 = (b) 123 x 31.00 =
(c)
(d)
(e) 1111 x 44.0 = (f)
(g) [Answer of (f)] x 0.21= (h) [answer of (g)] x 0.010000 =
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Subtopic 2.1: Volumetric Analysis 5
For Solid For Solution
M
mn
cVn
Concentration, c
V
nc 1molL
Mcc 11 molLgL
V
mc 1gL
Given a chemical reaction,
aA + bB dD + eE Where, A, B, D, E = substancesa, b, d, e = coefficient
b
a
n
n
B
A
d
b
n
n
D
B
a
e
n
n
A
E
a
d
n
n
A
D
100%xm(sample)
m(analyte)w/w%
gin
gin Parts per million
ppm = mgL-1
= mgkg-1
= gg-1
=
100%xV(sample)
m(analyte)w/v%
mLin
gin
Parts per billion
100%xV(sample)
V(analyte)v/v%
mLin
mLin
ppb= gL-1
= gkg-1
= ngg-1
=
In a dilution process,
Dilution Factor = original
diluted
V
V
dilutedoriginal nn
Important Formulae
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Subtopic 2.1: Volumetric Analysis 6
c (gL-1
)
x M (gmol-1
)
% w/v
10x 1000
c (mgL-1
)c (ppm)
c (gL-1
)
x 1000
c (ppb)
n (mol)
x V (L)
m (g)
x M (gmol-1
)
% w/w % w/v
x
As long as it is 10
-6
(i.e. per million)
c(mgkg-1
) c(gg-1
)
c(ngmg-1
) c(gMg-1
)
c(kgGg-1
) c(gkL-1
); etc
As long as it is 10-9
(i.e. per billion)c(gkg-1
) c(ngg-1
)
c(pgmg-1
) c(mgMg-1
)
c(gGg-1
) c(gML-1
); etc
V (mL)
density (gmL-1
)
x
% v/v
x
c (ppm)
c (ppm)
Please note
1 L = 1 kgfor dilute
aqueous
solutions
c (molL-1
)
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Subtopic 2.1: Volumetric Analysis 7
For 0.475 g of MgCl2
(i) Calculate the molar mass for 0.475 g of MgCl2.
M(MgCl2) = M(Mg) + [2 x M(Cl)]
= 24.31 + 2 x 35.45
= 95.21 gmol-1
(ii) Calculate the number of moles for 0.475 g of MgCl2.
n(MgCl2) = m(MgCl2) / M(MgCl2)
= 0.475g / 95.21gmol-1
= 4.988971747 x 10-3
= 4.99 x 10-3
mol
(iii) Calculate the number of moles of Cl
in 0.475 g of MgCl2.
MgCl2Mg2+ + 2Cl
n(Cl
) / n(MgCl2) = 2 / 1
n(Cl
) = 2 x 4.988971747 x 10-3
= 9.98x 10
-3mol
(iv) Calculate the mass of Cl
in 0.475 g of MgCl2.
m(Cl
) = n(Cl
) M(Cl
)
= (9.98x 10
-3mol)(35.45gmol
-1)
= 0.353718096g
= 0.354g
(v) Calculate the percentage of Cl
(by mass) in 0.475 g of MgCl2.
% of Cl
= [m(Cl
) / m(MgCl2)] x 100%
= (0.354g / 0.475g) x 100%
= 74.4669677%
= 74.5%
(vi) Calculate the number of moles of Mg2+
in 0.475 g of MgCl2.
Similar to (iii)
n(Mg2+) = 4.99 x 10
-3mol
(vii) Calculate the mass of Mg2+
in 0.475 g of MgCl2.
Method 1 : Similar to (iv)
Method 2:
m(Mg2+) = m(MgCl2) m(Cl
)
= 0.475
0.354 g
= 0.121 g
Element M, gmol-
Mg 24.31
Cl 35.45
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Subtopic 2.1: Volumetric Analysis 8
(viii) Calculate the percentage of Mg2+
(by mass) in 0.475 g of MgCl2?
Method 1 : Similar to (v)
Method 2:
% Mg2+
= 100% - % of Cl
= (100
74.5)%= 25.5 %
(ix) Calculate the concentration of 0.475 g of MgCl2 dissolved in a 50.0 mL volumetric flask by distilled water in g/L,
mol/L and % w/v.
c in gL-1
= m(MgCl2) in g / Vin L
= 0.475g / 0.0500L
= 9.5 gL-1
c in molL-1
= n(MgCl2) / Vin L
= 0.00499 mol / 0.0500L
= 0.0998 molL-1
% w/v
= [m in g / Vin mL] x 100%
= (0.475g / 50.0mL) x 100%
= 0.950%
(x) If now this 0.475 g of MgCl2 is dissolved in a 1000 mL volumetric flask by distilled water. Calculate its concentration
in mg/L.
c in mgL-1 = m(MgCl2) in mg / Vin L
= 475mg / 1.000L
= 475 mgL-1
(xi) What is the concentration of Mg2+
in the second solution, in mg/L?
c in mgL-1 = m(Mg2+) in mg / Vin L
= 121mg / 1.000L
= 121 mgL-1
(xii) What is the concentration of Cl
in the second solution in ppm then in ppb?
c in mgL-1
= m(Cl
) in mg / Vin L
= 354mg / 1.000L= 354 mgL
-1
354 mgL-1
= 354 ppm = 354000 ppb
(xiii) What is relative molecular mass of MgCl2?
95.21 [no unit]
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Subtopic 2.1: Volumetric Analysis 9
Usually to determine the concentration for one of the reactants involved accurately.
For example Redox titration between standard Fe2+
solution with unknown concentration of KMnO4
where the purpose of this titration is to find out the concentration of KMnO4 accurately by using an
accurately known concentration of Fe2+
solution.
Step 1: To prepare a standard Fe2+
solution. [i.e. to prepare a solution with accurately known
concentration of Fe2+
]
Consider the formulae below:
2
2
2
Fe
Fe
Fe V
nc
2
22424
22424
Fe
O.6H)(SO)Fe(NH
O.6H)(SO)Fe(NH
V
M
m
Accurate concentration of Fe2+
needs the following input data:
Accurate2Fe
V [obtains by using Volumetric Flask.]
Accurate2Fe
M [calculates from periodic table.]
Accurate2Fe
m [obtains from electronic weighing machine and pure grade of
Fe(NH4)2(SO4)2.6H2O.]
Purpose of titration
As the mole ratio between the Fe2+
and Fe(NH4)2(SO4)2.6H2O is 1:1,therefore the no. of moles of Fe2+
can be obtained from m of the salt
divided by molar mass of the salt.
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Subtopic 2.1: Volumetric Analysis 10
Step 2: Titration between the prepared standard Fe2+
(aq) with unknown concentration of KMnO4 (aq)
Half Equations
Oxidation half equation : Fe2+
Fe3+
+ e
Reduction half equation : MnO4
+ 8H+
+ 5eMn2+
+ 4H2O
Overall equation : MnO4 + 8H+ + 5Fe2+Mn2+ + 4H2O + 5Fe
3+
Therefore, from the overall equation
5
1
n
n
2
4
Fe
MnO
5
1
Vc
Vc
22
44
FeFe
MnOMnO
4
22
4
MnO
FeFe
MnO V
Vc.
5
1c
To obtain an accurate c HCl,the other variables must be accurate too.
Accurate
4MnOV can be obtained by using a burette.
Accurate2Fe
V can be obtained by using a volumetric pipette.
Accurate2Fe
c is obtained from step 1.
KMnO4
Fe2+
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Subtopic 2.1: Volumetric Analysis 11
Volumetric
ApparatusPurpose Rinsing Filling Delivering
Volumetric
Pipette
To transfer an accurate
fixed volume of
solution. (Fixed volume
such as 1, 2, 5, 10, 20,
25, 50, 100 mL & etc.)
First with distilled water
follow by the solution to
be transferred.
(If we used distilled
water only, the
concentration of the
solution will be diluted)
1. Overfill using a filler bulb or pipettefiller (above the calibration mark)
2. Remove the pipette from the solution& wipe the tip dry with tissue.
3. Use forefinger or the filler bulb toadjust solution level (bottom of
meniscus) aligns with calibration
mark at eye level
4. Make sure no air bubbles in thepipette
1. Hold pipette vertically & touch the tip of thepipette on the side (inner) of receiving vessel
(usually is conical flask or volumetric flask) to
allow smooth delivery.
2. Let solution drain under gravity (free flow) tothe receiving vessel
3. Hold for 10 seconds when solution has drained.4. Don't blow or shake outthe final drop in the
pipette.
Pipette Fillers (for practical)
Bulb-type
This bulb-type safety pipet filler is designed for efficient one-hand operation. It
made from natural rubber for better resistance to chemical attack. Its three
chemically resistant valves control the evacuation of air, liquid uptake and liquid
dispensing. Expel air from the bulb by squeezing the A valve and the bulb at
the same time. Draw (suck) liquid into the volumetric pipette by squeezing the
S valve. To dispenseliquid squeeze the E valve.
Pump-type
This pipetting device provides an easy, precise way of filling and releasing
liquid. By rotating the knurled thumb wheel the liquid is drawn up. The soft
elastic chuck has a threaded collar that secures the plastic or glass pipette to
the device. Fast releases by pressing air inlet valve button, or gradual release
by gently turning wheel.
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Subtopic 2.1: Volumetric Analysis 12
Volumetric
ApparatusPurpose Rinsing Filling Delivering
Burette Used for the accurate
delivery of a variable
volume of solution
First with distilled water
follow by the solution to
be placed in the burette
Transfer the solution into burette through
a funnel.
"LEFT HAND TURN, RIGHT HAND SWIRL"
1. Note the initial reading2. Add the solution slowly from the burette to the
conical flask.
3. Swirl the flask to ensure complete mixing4. When there is an indication that the end point
is near (indicator colour takes a longer time to
change) add drop by drop to the flask until
permanent colour change is achieved.
5. Note the final burette reading6. Repeat until 3 concordant titre values (within
0.10mL) are obtained.
Burette
reading (mL)
Titration Numbers
1 2 3 4 5
Final 26.5 26.6 26.7 26.8 26.7
Initial 0 0 0 0 0
Titre 26.5 26.6 26.7 26.8 26.7
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Subtopic 2.1: Volumetric Analysis 13
Volumetric
ApparatusPurpose Rinsing Filling Delivering
Volumetric flask
Designed to contain an
accurate volume at the
specified temperature
(25 or 20C)
To prepare anaccurately known
concentration of
solution i.e.
Standard Solution
To dilute a solutionaccurately.
(Fixed volume such as
5, 10, 25, 50, 100, 200,
250 & 500 mL. Also 1, 2
& 5 L)
Last rinse by the solvent
or distilled water.
Preparation of standard solution
1. Dissolve the accurately weigh solute/substance in minimumvolume of distilled water/solvent in a beaker.
2. Transfer the solution into the volumetric flask via a funnel [ORthe solid substance may transfer directly to the Volumetric flask]
3. Wash all traces of the solution [OR solid] into the flask by rinsingthe beaker and the funnel with distilled water/solvent.
4. Add distilled water to about 2/3 of the flask volume.5. Stopper & shake thoroughly to dissolve the solid (or mix the
solution for dilution.)
6. Add distilled water near to and lower than the calibration mark.7. Adjust the bottom of meniscus of solution till it aligns with
calibration mark at eye level by using a teat pipette.
8. Stopper the flask again & invert several times to mix thecontents to ensure a uniform concentration solution /
homogeneous solution
9. Label the flask with name of chemical, date prepared,concentration, person prepared.
For accurate dilution (replace the 1, 2 & 3 above with these)
1. Calculate the volume for volumetric pipette and volumetric flaskfrom the dilution factor. Example: 10 times dilution, 25.0 mL
volumetric pipette and 250.0 mL volumetric flask.
2. Pipette the solution till the bottom most of meniscus align withcalibration mark of volumetric pipette at eye level.
3. Make sure no air bubbles in the pipette, allow 10 secondsdraining time and also don't blow or shake out the final drop inthe pipette.
Transfer the solution to a
beaker before pipetting.
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Subtopic 2.1: Volumetric Analysis 14
3. A 10.00mL volumetricpipette is used to transfer the
solution into another 250.0mL
volumetric flask. So, for this
10.00mL of solution transferred,
c (Na2CO3) = 1.000 molL-1
m(Na2CO3) = 1.060 g
n (Na2CO3) = 0.01000 mol
5. A 25.00mL volumetricpipette is used to transfer the
solution into a conical flask for
titration with HCl. So, for this
25.00mL of solution
transferred,
c (Na2CO3) = 0.04000 molL-1
m(Na2CO3) = 0.1060 g
n (Na2CO3) = 0.001000 mol
The entire solid is
then transferred to
a 100.0mL
volumetric flask.
1. A beaker containing10.60g of Na2CO3.
M(Na2CO3) = 105.99gmol-1
So
n (Na2CO3) =0.1000mol
2. by adding d. water till the calibrationmark, for this 100.0mL solution
m(Na2CO3) = 10.60 g
n(Na2CO3) = 0.1000 mol
c(Na2CO3) =1.000 molL-1
4. by adding d. water till the calibrationmark, for this 250.0mL solution
m(Na2CO3) =1.060 g
n(Na2CO3) = 0.01000 mol
c(Na2CO3) = 0.04000 molL-1
6. For this 25.00mL solution
m(Na2CO3) = 0.1060 g
n(Na2CO3) = 0.001000 mol
c(Na2CO3) =0.04000 molL-1
HCl
Preparation and Dilution of Solution for Titration
Fill in the blanks by
following the sequence of
number in increasing order.
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Subtopic 2.1: Volumetric Analysis 15
HCl + NaOH NaCl + H2Otitre value is affected by
1. c(substance) in the burette2. n(substance) in the conical flask
1
1
)(
)(
NaOHn
HCln
1
1
)()(
)()(
NaOHVNaOHc
HClVHClc
c(HCl) Calculated=)(
)()(
HClV
NaOHVNaOHc OR
c(NaOH) Calculated=)(
)()(
NaOHV
HClVHClc
Apparatus
Correct
solution for
final rinsing
(just before
we use it)
If rinse wrongly
with
Consequences of wrong
rinsing of apparatus
Titre value,
V(HCl)
Calculated
c(HCl) c(NaOH)
Volumetric
Pipette NaOH Distilled water
c(NaOH) pipettedV(NaOH) pipetted=
n(NaOH) delivered/pipetted
Burette HCl Distilled water
c(HCl) in buretten(HCl) to complete the titration=
V(HCl) to complete the titration
Volumetric
Flask
(for
dilution of
NaOH)
Distilled
waterNaOH
c(NaOH) preparedV(NaOH) delivered by v. pipette =
n(NaOH) delivered by v. pipette
HCl
NaOH
Effects of Wrongly Rinsed Volumetric Apparatus on Titration
Titre values will be affected by
1. c(substance) in the burette , titre value
2. n(substance) in the conical flask, titre value
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Subtopic 2.1: Volumetric Analysis 16
Apparatus
Correct
solution for
final rinsing
(just before
we use it)
If rinse wrongly
with
Consequences of wrong
rinsing of apparatus
Titre value,
V(HCl)Calculated
Conical
Flask
Distilled
waterNaOH
c(NaOH) in conical flask=
V(NaOH) in conical flaskn(NaOH) in conical flask
Beaker to
store HClHCl Distilled water
c(HCl) in buretten(HCl) for titration=
V(HCl) for titration
Beaker to
store NaOHNaOH Distilled water
c(NaOH)V(NaOH) pipetted=
n(NaOH) pipetted
Detail Explanation of rinsing procedure for Volumetric pipette
The volumetric pipette shall first rinse with distilled water 3 times and then the solution to be placed in
it 3 times (i.e. HCl in this case).
When the pipette was last rinsed with distilled water concentration of NaOH will be lowered (dilution by
distilled water in it / left over) and therefore the no. of moles of NaOH transferred into the conical flask
will become less. With lower no. of moles of NaOH in the conical flask, lower no. of moles of HCl will be
needed to completed the titration, i.e. lower titre value. With lower titre value, the calculated
concentration of HCl will become lower than the actual value.
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Subtopic 2.1: Volumetric Analysis 17
Many chemicals are impure or without accurately supplied concentration e.g1. KOH and NaOH is hygroscopic/deliquescent i.e rapidly absorbs moisture from the
atmosphere. Moreover, these strong bases can react with acidic oxide present in the air
i.e. CO2
2. Strong acids are supplied in concentrated form by manufacturers and have a variableconcentration from batch to batch.
Therefore the amount of substance cant be calculated or obtained ACCURATELY.The amount or no. of moles of substances that can be calculated from their mass are called primary
standard.
Criteria for a primary standard
Primary standards must obey the following criteria
1. obtainable in pure form (no. of moles can be obtained)2. has a known formula (including a known degree of hydration, so the no. of moles can be
obtained)
3. Do not absorb moisture or other chemicals in the air i.e. stable in air. (no. of moles can beobtained)
4. Has a reasonable high molar mass (to minimize weighing error)5. Completely soluble in the solvent (water) at room temp.
Please note the different between Primary Standardand Standard Solution.
Standard solution-solution with accurately known concentration
Primary standard is used to prepare standard solution.
For example, in practical 4, Fe2+ salt serves as a primary standard as it is used to dissolve in water tomake an accurately known concentration of solution i.e. standard solution.
Primary Standard
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Subtopic 2.1: Volumetric Analysis 18
Acid-base titration
Titration curve is not in subject outline!
Titration curve is not in subject outline!
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Subtopic 2.1: Volumetric Analysis 19
Titration curve is not in subject outline!
Titration curve is not in subject outline!
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Subtopic 2.1: Volumetric Analysis 20
pH
1 4 7 10 14
Strong Acid Weak Acid Weak alkaline Strong AlKaline
Indicator Phenolphthalein Methyl orange
Colour inAcid colourless Red
Alkaline pink Yellow
Colour will change at pH 8.2 10.0 3.2 4.4
Suitable for
1. Strong acid vs strongalkaline
2. weak acid vs strongalkaline
1. Strong acid vs strongalkaline
2. strong acid vs weakalkaline
Indicators are either coloured weak organic acid or base, therefore the amount we used to identify the
end-point should be as minimum as possible, because it will increase or lower the titre value.
For example the acid in conical flask and you added a weak acid indicator, the titre value will increase.
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Subtopic 2.1: Volumetric Analysis 21
In term of Reduction Oxidation
Oxygen - +
Hydrogen + -Electron + -
Oxidation no. - +
Redox (Reduction-Oxidation) is a complementary process, means that both have to occursimultaneously.
Oxidising agent/oxidant will be reduced and Reducing agent/reductant will be oxidized.
Rule of oxidation number
1. Free elements/pure metal have oxidation no. of zero, e.g. Na, Ca, K, C
2. The oxidation no. for ions or polyatomic ions is equal to the charge on the ion e.g.
O2
Al3+
OH
Cr2O72
MnO4
Charge 2- 3+ 1- 2- 1-
Oxidation no. -2 +3 -1 -2 -1
3. The sum of oxidation no. of a compound is equal to zero, e.g. NaCl, MgO, KMnO4, K2Cr2O7
4. Some element have oxidation no. which are regarded as fixed in the compounds such asa. Group I elements+1b. Group II elements+2c. Oxygen usually has an oxidation no. of -2 except in peroxides such as H2O2, it has -1.d. Hydrogen usually has an oxidation no. of+1except in metal hydrides such as MgH2, it
has -1.
Redox
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Subtopic 2.1: Volumetric Analysis 22
Writing of half equations
Method 1 (harder)
Steps Cr2O72
Cr3+
1.Assign oxidation no. to the element being
oxidized or reduced.
2.Balance the element involved in the
oxidation or reduction
3.
Calculate thechange in total oxidation no.
and add electrons to balance this change to
the appropriate side.
4.Balance the charge by adding H
+to the
appropriate side.
5. Balance the equation by adding H2O to theappropriate side (if necessary)
Method 2 (easier)
Steps Cr2O72
Cr3+
1.Balance the element involved in the
oxidation or reduction
2.Add H2O to balance the O, (if no oxygen or
already balance, omit this step)
3. add H+
to balance the H
4. Add e
to balance the charge.
In this reduction reaction, the oxidation number of Cr in Cr2O72
has been reduced from +6 to +3 in Cr3+
ion.
Another important note is that acid-base titration is not the same with redox titration in term of
reaction involved.
Acid-base titrations involving neutrlisation reaction between the acid and base / alkaline.
Whereas the redox titrations involving the reduction and oxidation reactions occur simultaneously. The
acid used in the reaction i.e. Cr2O72-
above is not for neutralization reaction!
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Subtopic 2.1: Volumetric Analysis 23
Exercises
Write balance half equations for the following conversions and state whether it is an oxidation or
reduction.
1. MnO4Mn2+MnO4
+ 5e
+ 8H
+Mn2+ + 4H2O
2. H2O2 H2OH2O2 + 2e
+ 2H
+ 2H2O
3. H2O2 O2H2O2 O2 + 2e + 2H+
4.
ClO
Cl
ClO
+ 2e
+ 2H
+ Cl+ H2O
5. SO32 SO42SO3
2+ H2O SO42 + 2e+ 2H+
6. SO2 SO42SO2 + 2H2O SO42 + 2e+ 4H+
7. H2S SH2S S + 2H+ + 2e
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If we have an analyte that has acid-base or redox properties and is soluble but also fits into one or more
of the following categories,
Toxic Volatile Gaseous and in a mixture of gases Fairly unreactive - that is too weak to have clearly defined end-point.
Then direct titration cannot be used to determine the amount of analyte. Indirect or back titration is themore suitable method.
Indirect Titration
Determining the concentration of an analyte by reacting it with an excess reagent. One of the product(s)
produced is then titrated with a second reagent. The concentration of the analyte in the original solution is then
related to the amount of reagent consumed.
Part A: Excess amount of L is added to the system to react with the K (analyte). At the end of the reaction, K is
fully reacted i.e. no more K in the system
K + L
M + NPart B: Titration is carried out to determine the amount of M produced by titrating with known concentration of
O.
M + O P + Q
Sample question: Redox titration Q29.
Back Titration
Determining the concentration of an analyte by reacting it with an accurately known number of moles ofexcess
reagent. The unreacted excess reagent left over is then titrated with a second reagent. The concentration of the
analyte in the original solution is then related to the amount of reagent consumed.
Part A: Excess amount and accurately known amount of NaOH is added to the system to react with the CH3COOH
(analyte) . At the end of the reaction, CH3COOH is fully reacted i.e. no more CH3COOH in the system.
CH3COOH + NaOH CH3COONa + H2O
Part B: Titration is carried out to determine the amount of unreacted NaOH from part A by titrating with known
concentration of HCl.
NaOH + HCl NaCl + H2O
S l i id b i i Q45 47
Indirect And Back Titrations