VOLUMETRIC ANALYSIS - KIVUTIO

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Monday, July 15, 2019

VOLUMETRIC ANALYSIS

VOLUMETRIC ANALYSIS
Is a chemical procedure of determing the concentration of a solution.
 Volumetric analysis involves the techinque of titration.

   Titration is the process of adding an acid into a base until an indicator show that the reaction is complete.                                                       
During volumetric analysis the solution, a known volume of solution of unknown conctration is reacted with known volume of solution of known concentration.

 A solution with a known volume and known concentration called STANDARD SOOUTION.
   Standard solution delivered from burette so that the volume addae is measured.

APPLICATION Of VOLUMETRIC ANALYSIS.
  - It is used to determine unknown concentration of chemicals.

 - It is used to quantify the amount of the substance present in a solutions by anlytical
    Procedure.

 - it help in the standardization of acids and bases.

 - used in preparation of standard solutions.

           STANDARD SOLUTION.
Is the solution with known volume and known concentration. Standard solution categorized into two groups which are;
                   
               1) primary standards
                        Standard solution are usually prepared from primary primary standards.
         
                             Standard solution should have the following characteristics

           - high degree of purity

           - stable which are not decompose with time

           - have no water of hydration that is, they should not not be hygroscopic or efflorescent.

          - not volatile so that looses due to evaporation do not occur.

          - be highly soluable

          - have high molecular mass

Examples of standard primary standards include;

  •   Sodium carbonate , for acid - base titration.
  • Potassium dichromate for redox titrations.               

2) Secondary standards
       Some of acid and base such as hydrochloric acid, sulphuric acid and sodium hydroxide are secondary standards because they absorb water and vepourize during storage or prearation.

       Their concentration in solution can be determined by standerdizing them with primary standards.
CONCENTRATION; is the amount of substance per 1 dm3 (L) of the solution.

   - it is expressed in g/dm3 or mol/dm3.

           Thus;.          concentration = mass(gram)/ volume

                                CONCENTRATION = Molarity x Molar mass in g/dm3.


MOLARITY;
     Is the amount of substance in moles per 1 dm3 of the solution

           - The SI unit of Molarity is moles/ dm3

          -  The    moles/dm3 is denoted by M.

INDICATOR
   Indicators are substances which shows the end-point of the reactions.
              OR
Indicators are substances that show definite colour change when they are in acid or base.
                         
                              YTPES OF INDICATORS
There mainly four types of indicator as shown below.

 1) ✓litmus paper;              change red to blue in base.               
      ✓litmus paper; .           Change blue to red in acid.

2) ✓methyl orange;          change to yellow or orange in base.
     ✓methyl orange;          Change to pink in acid .

3)✓ phenolphthalein;       change to pink in base.                       
    ✓phenolphthalen ;       Change to colourless in acid
                                                                                                                               
4) bromothymol blue.      change to bule in base.         
    bromothymol blue;        Change to yellow in acid


Look on graph below.

                                 
       
Choise for an indicator in acid-base base titration.
       1) for strong acid and base you can use any indicator.

       2) for weak acid and strong base indicator used is phenolphthalein indicator.

       3) strong acid and weak base suitable indicator is methyl orange (m o) indicator.

       4) weak acid and weak base, no suitable indicator.


ACID-BASE TITRATION
      Titration is the process of adding an acid to a base until an indicator shows that the reaction is complete.

    COndition necessary for a titration.
1) The reaction must be fast, so that the reaction can be performed at conviniet time.

2) The reaction should go to completion means that it should not be reversible.

3) The reaction should be free from side rractions, means that it can be represented by single chemical equaion.

4) The reaction should has a definite end point that can be determined by accuratelly.


MaVa/MbVb = na/nb

Where;

          Ma is molar concentration of the acid
          Va is volume of the acid used
          na is the number of moles of the acid used
          Mb is molar concentration of the base
          Vb is volume of the base used
           nb is the moles of the base used.

The table below shows sample results for the experiment during titration

                                             

Pipette used 25cm3.

                                                        NaOH + HCL > NaCL + H2O

                                 The average volume of hydrochloric acid used is

                              ( 23.85 + 23.80 + 23.80)/3 = 23.82cm3

                                    Volume of acid used (Va) = 23.82cm3
                                   Molarity of acid (Ma) = 0.1M
                                   Namber of moles of acid (na) = 1
                                   Volume of base used (Vb) = 25cm3
                                    Molarity of base ( Mb). = ?
                                  Number of moles of base (nb) = 1

        Now from the formulas;
     
                                                         MaVa/MbVb = na/nb
                                                           
                                                            Mb = MaVanb/Vbna

                                                             Mb = (0.1M x 23.82x1)/25cm3x1

                                                            Mb = 0.09528M.

              Molarity of sodium hydroxide (NaOH) = 0.09528M.

   There fore 25cm3, of 0.09528M sodium hydroxide is neutralized by 23.82cm3 of the hydrochloric acid.


           EXERCISE.
    The following data obtained in titration experiment, calculate concentration of sulphuric acid in.
                 a) g/dm3

                 b) mol/dm3
     
                                                                                 


WATER OF CRYSTALIZATION.
        Is the water that is bounded within the crystals of substances. This water can be removed by heating.
 -Water of crystals can be determined by titration methods.

     Example
Determine the number of molecules of water of crystalization in the sample given.
         Na2CO3.XH2O.  If R.M.M is 286g/mol

 
                               Soln

                       Data given

                             R.M.M = 286g/mol

                             Na2CO3.XH2O

                             To find the value of X.

                      Then;

                                    Na2CO3.XH2O = 286.

                                    23X2 + 12 + 16X3 + X((2X1) + 16) = 286

                                    106 + 18X = 286

                                     18X = 286 - 106

                                     18X/18 = 180/18

                                       X = 10

                         There for;

                                       Water of crystalization = 10.

      Example: 2;
Calculate the number of molecules of water of crystalization in the hydrated sodium carbonate.

                                             

To determine the number of water of crystalization in the hydrated sodium carbonate sample with concentration of 14.3g/dm3  proceed as follow;

1) calculate the average volume of the hydrochloric acid used.

                (23.85 + 23.80 + 23.80)/3 = 23.82 cm3

     calculate the number of moles of HCl 
     
              Moles(n) = Volume x molarity
   
                   n =( 23.82/1000)dm3 x 0.1mol/dm3

                 n = 0.002382moles
      
   3) write a balanced chemical equation to get mole ratio


             Na2CO3 + 2HCl > 2NaCl + H2O + CO2

The ratio of Na2CO3 to HCl is 1:2

4) calculate the number of moles of sodium carbonate

         0.002382/2 = 0.001191moles

5) Determine the mole concentration of sodium carbonate

    Molarity = moles/volume
  
                    = 0.001191mole/0.02382

                    0.05M
6) calculate the R.M.M of the carbonate.

        Molar mass = mass per litre/molarity
        Nolar mass = 14.3g/dm3/0.05M
        Molar mass=286g

7) Determine the number of molecules of water of crystalization in the sample.

        Na2CO3.xH2O = 286g
        23 x 2+12 + 16x3 +x((2x1) + 16) = 286g
       58 + 48 + 18x = 286g
      106g + 18x = 286g
      18X = 286 - 106
       18x = 180
        18x/18 = 180/18
        X = 10.
   
                   



         Percentage purity of a substance.
         Is the percentage of the pure substance in a sample

     Percentage purity = ((Conc of pure substance)/(Conc of impure)) x 100%

 PERCENTAGE IMPURITY OF A SUBSTANCE
      Is the percentage of the impure substance in a sample.

        Percentage impurity =( 100% - %purity)

       EXAMPLE.
 25cm3 of 2M nitric acid reacted completely with 20cm3 of a solution containing 56.25g of impure sodium carbonate in 250cm3 of solution. Determine the percentage purity of the sodium carbonate

       ( N = 14, C = 12, Na = 23, O = 16, H = 1)

                   Soln

   Data given
   Volume of HNO3 (Va) = 25cm3
  Molarity of HNO3 (Ma) = 2M
  Volume of Na2CO3 (Vb) = 20cm3
  Molarity of Na2CO3(Mb) = ?
 Mass of impure Na2CO3 (m) = 56.25g in 250cm3

 Reaction eqution

               2HNO2 + Na2CO3 > 2NaNO3 + H2O + CO3

From the chemical equation

          nb = 1
          na = 2

Now;

      From the molar ratio formula

      ((MaVa/na) = (MbVb/nb))

     Mb = ((MaVanb/Vbna))

            = ((2M x 25cm3 1) / (20cm3x20))
       
           = 1.25M
   Therefore;

      Molarity of pure Na2CO3 is 1.25M

Now;

    Conc of pure Na2CO3 = Molarity of pure Na2CO3 x Molar mass of Na2CO3.
 
                                           = 1.25M x 106g/mol

                                          = 132.5g/dm3

There fore;

         Conc of pure Na2CO3 is 132.5g/mole

Conc of impure Na2CO3  = Mass/Volume

                                             = 56.25g/0.25dm3.
                                             = 225g/dm3
Now;
            To calculate percentage purity of Na2CO3

                % purity = (conc of pure Na2CO3/Conc of impure of Na2CO3) x 100%
       
                               = 132.5/225
                               = 58.9%

% purity of Na2CO3 is 58.9%



% of impurity = 100% - % purity

There fore;
                      % of impurity = 100% - 58.9%

                                             = 41.1%
 % of purity is 41.1%
        


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