analyti
analyti
If both components in a solution are 50%, the term solute can be assigned to either
component. When gas or solid material dissolve in a liquid, the gas or solid material is called
the solute.When two liquids dissolve in each other, the major component is called the solvent
and the minor component is called the solute.
There are several methods of describing solution concentration such as mole fraction,
molality, molarity, normality, and percentage composition.
1.Mole fraction (X): is the ratio of the number of moles of one component to the total
number of moles in a solution. For instance, the solution made up of two components, let the
number of moles of one component be (nA) and the other component be (nB). If the mole
fraction of A and B in the solution are denoted by XA and XB respectively can be expressed
as:
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nA
XA = Where, nA=¿ Number of moles of solute A ,
nA+ nB
nB
XB = nB = Number of moles of solute B
nB+nA
Mole fraction is a dimensionless quantity; that is, it has no units.
2.Molality (m) : is the ratio of number of moles of solute to kilogram of solvent. Usually
denoted by the letter (m),
weight of solute x
Percent by weight (%w/w) = ∗100 %
Total weight of solution
volume of solute
Percent by volume (%V/V) = ∗100 %
Total volume of solution
C) Percent by weight volume (%w/v) : the percent of solute and volume of solvent used
to make the solution.
weight of solute
Percent by weight-volume (%w/v) = ∗100 %
Volume of solv ent
4. Molarity (M): is the most commonly used concentration unit in chemistry and defined as
the number of moles solute per litre of solution. It is designated by the letter (M).
Number of equivalents
Normality (N) =
Litre of solution
mass of solute
Therefore, Normality (N) =
equivalent weight x Volume solution( L)
Determining the number of equivalent weight of a substance is not straight forward, since it
depends on the reaction unit, which is that part of a chemical species involved in a reaction.
a) In an acid–base reaction
The reaction unit is the number of H+ ions donated by an acid or accepted by a base.
The equivalent weight of an acid or base (Eqv. Wt acid or base) is the ratio of its molecular
weight (M.Wt) to the number of H+ ions donated or accepted per molecule of the acid or
base in the reaction.
𝐄𝐪𝐯. 𝐰𝐭 =
M .Wt
H+ accepted∨donated
For an oxidation–reduction reaction the reaction unit is the number of electrons released by
the reducing agent or accepted by the oxidizing agent
The equivalent weight of an oxidizing agent /reducing agent is its molecular weight (M. Wt)
divided by the number of electrons it accepted or donated (n) per molecule
The reaction unit is the charge of the cation or anion involved in the reaction; the equivalent
weight of the substance furnishing the cation or anion is its molecular weight divided by the
total positive charge or negative charge per molecule.
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𝐄𝐪𝐯. 𝐰𝐭 =
M . Wt
, Where z is the number of total positive charge or negative charge
z
To prepare a solution with a desired normality from a pure solid, we weigh out the correct
mass of reagent and dissolve it in a volumetric flask.
Procedure:
5. Transfer the solution in to the volumetric flask and adjust the volume exactly 50 mL
mark by adding enough distilled water. Then stopper the flask and swirl the solution
vigorously to mix well.
Question:
b. 250 ml of CaCO3
3) How many gram-equivalents are contained in?
a. 1.8909 gm of chemically pure oxalic acid H2C2O4.2H2O
a.CaCl2 b. HNO3
5) calculate the equivalent weight and normality for a solution of 6.0 M H3PO4
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Experiment: 2
Dilution is the procedure for preparing a less concentrated solution from a more concentrated
one (stock solution). Stock solution is a solution of known concentration from which other
solutions are prepared.
Solutions with small concentration are often prepared by diluting a more concentrated stock
solution.
A known volume of the stock solutions is transferred to a new container and brought to a
new volume. Since the total amount of solute is the same before and after dilution; That
means the number of moles of solute before and after dilution is constant, we know that
𝑫𝒊𝒍𝒖𝒕𝒊𝒐𝒏 𝒇𝒐𝒓𝒎𝒖𝒍𝒂:
To find the concentration of stock solution we can use the following formula
density ( sp . gv )wt % 1000
Molarity =
molar mass
Procedure:
To prepare solution from a liquid or other solution
II. Preparation of 250 ml of 0.2 M H2SO4 from a more concentrated stock solution
Concentrated H2SO4 purchased from a chemical supply company known to be 98.0% (mass
percent) and has a solution density of 1.84 g/mL.
Caution: Never add water to concentrated acid. Addition of concentrated acid to water
causes heating (very exothermic) and cause splattering. Always add the concentrated acid
to water slowly with stirring. Place the beaker or the flask in an ice bath to help cool the
resulting solution and prevent spattering
1) First calculate the molarity of the concentrated acid (stock solution or liquid)
(H2SO4) required for preparing the desired solution for the experiment.
(2) Prepare 0.2 M H2SO4 in 250 mL volumetric flask. (Show your calculation.)
Use a pipet to measure the amount of solution or liquid calculated in step (1).
(5) Fill the volumetric flask approximately two thirds full and mix.
(6) Carefully fill the flask to the mark on the neck of the flask.
(7) Mix the solution thoroughly by stoppering the flask securely and inverting it ten to
twelve times.
Question:
Experiment: 3
Theory: The extent to which a substance may be dissolved in water, or any solvent, is
quantitatively expressed as its solubility, defined as the maximum concentration of a
substance that can be achieved under specified conditions. In another case solubility is the
ability of a substance, the solute, to form a solution with another substance, the solvent.
The extent of the solubility of a substance in a specific solvent is generally measured as the
concentration of the solute in a saturated solution, one in which no more solute can be
dissolved. At this point, the two substances are said to be at the solubility equilibrium. For
some solutes and solvents, there may be no such limit, in which case the two substances are
said to be "miscible in all proportions"
The solute can be a solid, a liquid, or a gas, while the solvent is usually solid or liquid. Both
may be pure substances, or may themselves be solutions. Gases are always miscible in all
proportions, except in very extreme situations and a solid or liquid can be "dissolved" in a gas
only by passing into the gaseous state first.
Substances with relatively large solubility’s are said to be soluble. Substances with relatively
low solubility’s are said to be insoluble, and these are the substances that readily precipitate
from solution (Insolubility is the opposite property, the inability of the solute to form such a
solution).
The solubility mainly depends on the composition of solute and solvent (including their pH
and the presence of other dissolved substances) as well as on temperature and pressure.
Ionic compounds dissolve in water if the energy given off when the ions interact with water
molecules compensates for the energy needed to break the ionic bonds in the solid and the
energy required to separate the water molecules so that the ions can be inserted into solution.
Solubility rule
1) All common salts of the group 1A elements (such as Na +, K+ and Li+) and ammonium
(NH4+) are soluble.
2) All common salts containing acetate (CH3COO-) or nitrate (NO3-) are soluble.
3) F- are soluble except those of silver (Ag), mercury (Hg), and lead (pb).
4) All compound containing sulfate (SO42-) are soluble except those of barium
( Ba),strontium (Sr), lead (pb), calcium (Ca), silver (Ag), and mercury (Hg).
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5) Compound following rule 1containing carbonate (CO 32-), Hydroxide (OH-), oxide
(O2-), and phosphates (PO43-) are soluble.
Chemicals: Distilled or de-ionized water, Copper (II) sulphate, Copper (II) carbonate,
Calcium carbonate, Calcium chloride, Calcium nitrate, Silver nitrate
Procedure
1) Take five test tubes with about 3 ml of de-ionized water to the reagent bench.
2) With a pencil label the test tubes with the formulas of the following compounds.
3) Add a small amount (about the size of a pea) of the compounds to the appropriate test
tube.
4) Stir Ionic compounds in water
Silver nitrate
Questions:
1) Explain the difference between the hot solution and the cold solution.
2) How does temperature affect the solubility of a solid in water?
3) Identify whether the following substances are soluble or insoluble in water
a) group 1 metal cations (Li+, Na+, K+, Rb+, and Cs+) and ammonium ion (NH4+)
b) the halide ions (Cl−, Br−, and I−)
c) sulfates of Ag+, Ba2+, Ca2+, Hg22+ , Pb2+, and Sr2+
d) carbonate (CO2−3) , chromate (CrO2−4) , phosphate (PO34-) , and sulphide (S2−) ions
hydroxide ion (OH−)
4) The solubility product of silver carbonate (Ag2CO3) is 8.46 × 10−12 at 25°C. Calculate the
following:
Fundamentals of Titrimetry
Titration- is the process in which a standard reagent( titrant) from the burette is slowly added
to the solution of an analyte (titrand) until the reaction is judged to be completed. A standard
solution (or a standard titrant) is a reagent of known concentration that is used to carry out
a titration.
Equivalence point in a titration is a theoretical point reached when the amount of added
titrant is chemically equivalent to the amount of analyte in the sample.
For example
The equivalence point in the titration of NaCl with AgNO3 occurs after exactly one mole of
Ag+ has been added for each mole of Cl- inthe sample.
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2 moles of base for each mole of acid.
The end point is the point in a titration when a physical (colour) change occurs that is
associated with the condition of chemical equivalence.
In a titration, the primary systematic error is the endpoint determination. The difference
between the equivalence point and the measured end point is called the titration
errorIndicators are often added to the analyte solution to produce an observable physical
change (signaling the end point) at or near the equivalence point.
Volumetric Calculations
Most volumetric calculations are based on two pairs of simple equations that are derived from
definitions of the mole, the millimole, and the molar concentration.For the chemical species
A, we can write
mass A(g)
ammount A (mol) =
molar mass A (g/mol )
The second pair of equations is derived from the definition of molar concentration, that is,
ammount A (mol) = 𝐕(𝐋) 𝐱 𝐌𝐀(𝐦𝐨𝐥/𝐋)
ammount A (mmol) = 𝐕 (𝐦𝐋) 𝐱 𝐌𝐀(𝐦𝐦𝐨𝐥/𝐦𝐋)
1) Initial stage: A pure solution of analyte (in titration flask) before any volume of reagent is
added
2) Before equivalence (or pre-equivalence) point: The volume of reagent added to analyte
does not make the reaction complete (when there is still excess of analyte).
3) At equivalence point: The amount of reagent added is chemically equivalent to the
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amount of substance being determined (analyte).
4) After equivalence (or post-equivalence) point: The amount of reagent added is higher
than the amount of substance being determined.
Precautions
1. Clean all the apparatus with distilled water before starting the experiment and then
rinse with the solution to be taken in them.
2. Rinse the pipette and burette before use and take out the bubbles at the nozzle of the
burette.
3. Use antiparallex card or autoparallex card while taking the burette readings.
4. Take accurate readings once it reaches the end point and don’t go with average
readings.
7. The strength of the unknown solution should be taken upto two decimal places only.
8. While noting reading at the endpoint, no drop should be hanging at the nozzle of the
burette.
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that require standardization. The number of substances proposed as primary standards is quite
large. The most commonly used standards are:
Sodium hydroxide usually contains Na2CO3 as impurity, due to a reaction with CO 2 from the
air. Thus, it becomes expedient to standardize it either by using any of the alkalimetric
primary standards or a standardized acid solution to determine its exact concentration. In
order to remove dissolved carbon dioxide gas from water solvent, the distilled water used
should be previously boiled and cooled. Unless it is stored in plastic bottles, NaOH readily
attacks glass walls of a reagent bottles forming sodium silicate.
Apparatus: Burette, pipette, conical flasks, beaker, wash bottle, volumetric flask
Chemicals: HCl, NaOH, sodium carbonate (Na2CO3, eq.wt=53.00), Methyl red indicators,
ethanol, distilled water
Preparation of solution
Procedure
Pipette out 10 mL of 0.05 M Na2CO3 solution in to 250 mL titration flask and add 2-3 drops
of methyl red indicator. Titrate the solution with HCl until it changed to colorless that
indicates the end point of titration. Repeat the titration three times.
N Na 2CO 3 x V Na2 CO 3
NHCl =
VHCl
Pipette out 10 mL of the NaOH solution in to 250 mL titration flask and add 2-3 drops of
phenolphthalein indicator. Titrate it with previously standardized HCl solution until the color
of the solution changes to yellow. Repeat the titration three times.
NHCl x VHCl
NNaOH =
VNaOH
Questions:
1. A 9.5 ml NaOH is titrated with 0.5 M HCl requiring 14.5 mL in the presence of
phenolphthalein indicator end point. How many milligram per liter of NaOH are in the
solution ? ( f.wt NaOH = 40g/mol)
Experiment 5
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Objective: To determine the exact amount of NaOH and Na2CO3 in the same solution
Theory: All alkalis absorb CO2 from the air and are converted into carbonates.
Thus, a solution of NaOH always contains Na 2CO3. Due to the fact that one has the option of
titrating Na2CO3 as a mono functional base or as di functional base depending upon the
indicator chosen, the amount of the compound as NaOH and Na 2CO3 in solution can be
determined as follows.
When the solution of NaOH and Na2CO3 is titrated in the presence of methyl orange (methyl
yellow) the indicator turns pink only after all the salt is converted into H2CO3 and NaCl.
As we can be seen from the equation (2) and (3), the amount of HCl consumed to reach the
end point of the titration when using phenolphthalein is half the amount required in the
presence of methyl orange. In other way, half of the Na 2CO3 is titrated in the presence of
phenolphthalein, and all of it in the presence of methyl orange.
Chemicals: Mixture of Na2CO3 and NaOH, 0.1 N HCl, 0.5 % Methyl orange, 0.1 %
phenolphthalein.
Apparatus: Burette, pipette, conical flasks, beaker, wash bottle, volumetric flask.
Procedure:
2) Add 3 drops of 0.5 % phenolphthalein indicator solution and titrate the contents of the
conical flask against the previously standardized HCl solution
3) Stop the titration when the light pink color just disappears and note down the volume of
HCl (VX mL) for this end point
5) To the same titration mixture then add 3 drops of 0.05% solution of methyl orange
indicator and resume the titration.
6) Continue the titration until the pale yellow color just changes to pale red and note down
the volume of HCl (say VY mL) consumed for this color change.
7) Repeat the titration to obtain at least two equal titrant volumes
Determination of NaOH
N HCl x V HCl
NNaOH=
V NaOH
Determination of Na2CO3
N Na2CO3=?
N HCl x V HCl
N Na2CO3 =
V Na2 CO3
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Amount of Na2CO3 in g/L = N Na2CO3 x 53 (Eq.wt of Na2CO3)
Question
Experiment 8
Objective: To determine the exact amount of Na 2CO3and NaHCO3 in the same solution
Theory: This experiment consists of two parts.
If a mixture of Na2CO3 and NaHCO3 is titrated with standard HCl solution in the presence
of phenolphthalein indicator, the light pink color disappears when Na2CO3 is changed in to
NaHCO3. The volume of HCl solution (say Vx mL) used up will account for half
neutralization of Na2CO3 .
Chemicals: Mixture of Na2CO3 and NaHCO3, 0.1 N HCl, 0.5 % Methyl orange, 0.1 %
phenolphthalein.
Apparatus: Burette, pipette, conical flasks, beaker, wash bottle, volumetric flask
Procedure:
1. Pipette out 10 ml of the analyte solution containing Na 2CO3 and NaHCO3 in to a clean
conical flask.
2. Add 3 drops of 0.5% phenolphthalein indicator solution and titrate against the
previously standardized HCl solution taken in burette until the pink color just
disappears.
Note down the volume of HCl required for this end point (say Vx mL)
3. Add 3 drops of 0.05% solution of methyl orange indicator to the same titration
mixture and resume the titration,the end point is indicated by color change from straw
yellow to pale red. Note down the volume of HCl required for this end point (say Vy
mL)
4. Repeat the titration to obtain at least two equal titre volumes.
Calculate the amount of Na2CO3 and NaHCO3 as given below:
Determination of Na2CO3
N HCl x V HCl
N Na2CO3 = , therefore Amount of Na2CO3 in g/L = N Na2CO3 x 53(Eq.wt of
V Na2 CO 3
Na2CO3)
Determination of NaHCO3
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VNaHCO3 = 10 ml VHCl = (Vy - Vx) mL
N HCl x V HCl
N NaHCO3= , therefore Amount of NaHCO3in g/L = N NaHCO3 x 53(Eq.wt
V NaHCO 3
of NaHCO3 in g/eq)
Question
1) Titrant of 25ml of the solution containing a mixture of Na 2CO3 and NaHCO3 took
9.46 ml of 0.12 NHl solution in the presence of phenolphthalein and 24.86 ml in the
presence of methyl orange (15.4 ml beyond the first end point ). Find the normality or
the solution with respect to Na2CO3 and NaHCO3 respectivelly .(given F wt
Na2CO3=106 g/mole, F.Wt NaHCO3 = 84g/mole).How many grams of Na2CO3 and
NaHCO3 are in 250 ml of this solution?