75. Mole Concept and Stoichiometry-2

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    Chemistry

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    Session Opener

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    Session Objectives

    Problems related to

    1. Mole concept

    2. Stoichiometry

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    Simple Titrations

    Find out the concentration of a solution

    with the help of a solution of knownconcentration.

    1 1 2 2N V N V

    For mixture of two or more substances

    N1V1 + N2V2+ = NVWhere V=(V1 + V2+ ..)

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    Normality of mixing two acids

    1 1 2 2

    1 2

    N V +N VN=

    V +V

    Normality of mixing acid and bases

    1 1 2 2

    1 2

    N V -N VN=

    V +V

    2 2 1 1

    1 2

    N V -N V

    or N= V +V

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    Questions

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    Illustrative example 1

    Find the molality of H2SO4 solution

    whose specific gravity(density) is1.98 g/ml and 95% mass by volume H2SO4.

    100 ml solution contains 95 g H2SO4.

    95

    98Moles of H2SO4 =

    Mass of solution = 100 1.98 = 198 g

    Mass of water = 198 95 = 103 g

    Molality =

    95 1000

    98 103= 9.412 m

    Solution:

    Molality =moles of solute

    mass of solvent in kg

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    Illustrative example 2

    A sample of H2SO4 (density 1.787 g/ml)is 86% by mass. What is molarity of acid?

    What volume of this acid has to beused to make 1 L of 0.2 M H2SO4?

    d10%

    M= Molecular mass

    1.7871086

    = =15.68 molar98

    Let V1 ml of this H2SO4 are used to prepare 1 L of 0.2 M

    H2SO4.M1V1 = M2V2

    15.68 V1 = 0.2 1000

    10.21000

    V = =12.75 ml15.68

    Solution:

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    Illustrative example 3A mixture is obtained by mixing 500ml0.1M H2SO4 and 200ml 0.2M HCl at 25

    0C.

    Find the normality of the mixture.

    2 2 1 1

    1 2

    N V +N VWe know, N =

    V + V

    For the mixture, 500 0.1 2 200 0.2 1N 0.2700

    Solution:

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    Illustrative example 4

    500 ml 0.2 N HCl is neutralized with250 ml 0.2 N NaOH. What is thestrength of the resulting solution?

    Equivalents of HCl

    3

    500 0.2 10 eqv

    Equivalents of NaOH -3=2500.210 eqv

    Equivalence of excess HCl

    3 3(500 0.2 10 250 0.2 10 eqv)

    Normality of HCl (excess)-3 3

    50010 10= =0.067 N750

    Strength of HCl = .067 36.5 g/litre

    = 2.44 g/litre

    Solution:

    2HCl NaOH NaCl H O

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    Solution

    1 1 2 2

    1 2

    N V -N VN=

    V +V

    0.2 1 500 - 0.2 1 250N =

    500 + 250

    N = 2.44 NStrength of HCl = .067 36.5 grams/litre

    = 2.44 grams/litre

    Normality of HCl (excess),

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    Illustrative example 5

    Calculate the empirical formula of a mineral

    having the following compositionCaO=48.0% ;P2O5=41.3% ; CaCl210.7%

    9

    3

    1

    48.0/56=0.857

    41.3/142=0.291

    10.7/111=0.096

    56

    142

    111

    48.0

    41.3

    10.7

    CaO

    P2O5

    CaCl2

    Simple

    ratio

    Mol.

    Mass

    %tageConstituents Relative no. of const.

    %=Mol. mass

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    Illustrative example 6

    1.5 g of an impure sample of sodiumsulpate dissolved in water was treatedwith excess of barium chloride solutionwhen 1.74 g of BaSO4 were obtained asdry precipitate. Calculate the percentagepurity of the sample.

    2 4 2 42 23 32 16 4 137 32 4 16

    142gm 233gm

    Na SO BaCl BaSO 2NaCl

    4 2 4

    4

    233 gm of BaSO is produced from 142 gmNa SO

    1421.74 gm of BaSO is produced from 1.74 1.06gm233

    2 4

    2 4

    The mass of pure Na SO in 1.5gm of impure sample is 1.06gm

    1.06%tage purity of Na SO 100 70.67%

    1.5

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    Solution

    3 2 22(23 14 32) 138gm2[23 14 48]170gm

    2NaNO 2NaNO O

    3

    3

    170gm of NaNO gives residue 138gm

    138(5 x) gm of NaNO gives residue (5 x)gm

    1700.812(5 x)gm

    28Actual residue obtained (5 ) 100 3.6 gm

    100

    3 2

    3

    0.674x 0.812(5 x) 3.6

    or 0.318x 0.46

    or x 3.33 gm

    Pb(NO ) in mixture 3.33gm

    and NaNO in mixture 5 3.33 1.67 gm

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    Illustrative example 8

    What volume of oxygen isrequired to effect complete combustion of

    200 cm3 of acetylene and what would bethe volume of CO2 formed?

    2 2 2 2 22 volume 5 volume 4 volume

    2C H 5O 4CO 2H O

    2 2 2

    According to Gay lussac's law of gaseous volumes

    2 volume of C H require 5 volume of O for complete combustion

    3 3

    2 2

    5

    200 cm of C H require 200 500 cm at STP2

    2

    3 32 2 2

    2 volume of produce CO 4volume

    4200cm of C H produce CO 200 400 cm at STP

    2

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    Illustrative example 9

    The formula weight of an acid is 82.0in a titration.100 cm3 of a solution of

    this acid containing 39.0 g of the acidper litre were completely neutralisedby 95.0 cm3 of aqueous NaOH containing40.0 g of NaOH per litre. What is the basicity of the acid?

    Let requirement wt. of acid =E

    Normality of acid 39/EEquivalent wt. of NaOH 40 /1

    Normality of NaOH 40 /40 1

    Solution:

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    Solution

    1 1 2 2

    (acid) (NaOH)

    N V N V 39 100 1 95

    EE 41.0

    Formula wt. 82.0Basicity of acid 2

    Eq. wt 41.0

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    Illustrative example 10

    Calculate approximate molecular mass

    of dry air containing 78% N2 and 22% O2.Solution:

    78 22Molecular mass 28 32 28.88

    100 100

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    Illustrative example 11

    Calculate atomic mass of elementX and Y given thatComposition of X=9.76%Relative no. of atoms of X=0.406Composition of Y=26.01Relative no. of atoms of Y=1.625

    Solution:

    %tage of element 9.76Atomic mass of X 24

    Relative no. of Atoms of X 0.406

    %tage of element 26.01Atomic mass of Y 16Relative no. of Atoms in Y 1.625

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    Illustrative example 12

    The molality of a solution of ethyl alcohol(C2H5OH) in water is 1.55m.How many

    grams of ethyl alcohol are dissolved in 2kgof water?

    Solution:

    2

    2

    1000gm of H O contain 1.55mol of ethyl alcohol

    1.55 20002000gmof H O contain 3.10 mol

    1000

    Mass of ethyl alcohol 3.10 46 142.6gm

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    Illustrative example 13

    You are given 1 litre of 0.15 M HCl and1 litre of 0.40 M HCl. What is the maximumvolume of 0.25 M HCl which you can makefrom these solutions without adding any water?

    Solution:

    Volume of 0.25 M HCl cant be more than 2 litresbecause no water is added

    X litre of 0.40M HCl be added to 1L 0.15 M HCl

    1 1 2 2 3 3M V M V M V 0.15 1 0.40 X 0.25 (1 X)

    0.15X 0.100.10

    X 0.667litre0.15

    Total volume of 0.25M solution 1 X

    1 0.667 1.667

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    Illustrative example 14

    How many ml of H2SO4 of density

    1.8 g/ml containing 92.5% by volumeof H2SO4 should be added to 1 litre of40% solution of H2SO4 ( density 1.30 g/ml)in order to prepare 50% solution of H2SO4(density 1.4 g/ml).

    Molarity(M ) of solution containing 92.5% of H SO1 2 4

    vol. of H SO Density 1000 92.5 1.8 10002 4 16.99M98 100 98 100

    2 2 4Molarity(M ) of solution containing 40% of H SO

    40 1.3 10005.31M

    98 100

    2 4Molarity(M) of solution containing 50% of H SO

    50 1.4 10007.14M

    98 100

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    Solution

    1 1 2 2M V M V MV

    16.99 V 5.31 1 7.14(1 V)

    9.85V 1.83

    1.83V 0.186L

    9.85

    V 0.186L or 186 ml

    1

    2

    Let VL of solution with molarity(M ) is added to 1L of solution

    with molarity(M ) to prepare(1 V)L of solution with molarityM,

    then

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    Illustrative example 15

    Gastric juice contains about 3.0 gof HCl per litre. If a person produces

    about 2.5 litre of gastric juice per day,how many antacid tablets each containing400 mg of Al(OH)3 are needed to neutralizeall the HCl produced in one day?

    3 3 23(35.1 1) 27 3(16 1)109.5 78g

    3HCl Al(OH) AlCl 3H O

    Amount of HCl produced ina day 2.5 3 7.5g

    3Now 109.5g of HCl require Al(OH) 78g

    378

    7.5 g of HCl will require Al(OH) 7.5 5.34g109.5

    5.34Number of tablets required 13.35 14 tablets

    0.4

    Solution:

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    Illustrative example 16

    Calculate the number of Cl ions in

    100 ml of 0.001 M HCl solution.

    Solution:

    HCl is a strong acid, it ionises completely

    1000ml of 0.001M HCl solution contains Cl 0.001 mole

    4

    0.001 100100 ml of 0.001M HCl solution contains Cl

    1000

    1 10 mole

    Conc. of HCl is equal to that of Cl

    ions

    23 4

    19

    No. of Cl ions 6.023 10 1.0 10

    6.023 10

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    Helena kabr se farar

    Group 1 elements (Alkalimetals)

    He

    Li

    Na

    K

    Rb

    Cs

    Fr

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    Be

    Mg

    Ca

    Sr

    Ba

    Ra

    Bear mugs can serve bar rats

    Group 2 elements(Alkaline earth metals)

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    B

    Al

    Ga

    In

    Tl

    Bob Allen Gave Indians Tennis Lessons

    Group 13 elements (Boronfamily)

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    C

    Si

    Ge

    Sn

    Pb

    Can sily or Genius snatch lead

    Group 14 elements (Carbon family)

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    N

    P

    As

    Sb

    Bi

    Never put arsenic in silver bullet bear

    Group 15 elements (Nitrogen family)

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    O

    S

    Se

    Te

    Po

    Oh, she sells tie Poles

    Group-16 elements (Oxygen family)

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    F

    Cl

    Br

    I

    At

    Fat Clyde bribed Innocent Atul

    Group-17 elements (Halogen family)

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    Group-18 elements (The NobleGas)

    He

    Ne

    Ar

    Kr

    Xe

    Rn

    He needs our crazy Xerox repairman

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    Thank you