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Concentrations of Acids and Alkalis

Concentrations of Acids and Alkalis

1.Concentration can be measured in two units:
        (a) mol dm-3
        (b)   g dm-3
2.Concentration in mol dm-3 is the amount of substance dissolved in 1 dm-3 of solvent.
3.Concentration in g dm-3 is the mass of substance dissolved in 1 dm-3 of solvent.
4.The concentration of the solution in mol dm-3 is also called the molarity with the unit of M.

SAMPLE 1:
     5 g of sodium hydroxide is dissolved in 250 cm3 water. What is the concentration of sodium hydroxide in
     (i) mol dm-3
     (ii) g dm-3
Solution:
(i) Volume of solution = 250/1000
                                     = 0.25 dm-3
     Concentration in  g dm-3 = 5/0.25
                                             = 20 g dm-3
(ii) Relative molecular mass of NaOH = 40
      Number of moles of NaOH  = 5/40
                                                   = 0.125
       Concentration = 0.125/0.25
                               = 0.5 mol dm-3

SAMPLE 2:
     What is the mass of potassium hydroxide required to prepare 100 cm3 of 0.2 mol dm-3 solution?
Solution:
Volume of solution  = 100/1000
                                = 0.1 dm-3
0.2 = number of moles/0.1
Number of moles = 0.1 x 0.2
                             = 0.02 mol
Relative molecular mass of KOH = 56
Mass of KOH = 0.02 x 56
                       =1.12 g

Standard solution
1. A standard solution is a solution of known concentration.
2. A standard solution can be prepared by
 (a) Dissolving the substance into a fix volume of water
 (b) Diluting a concentrated solution.

Dilution
1.Dilution is a process of obtaining a less concentrated solution by adding water into a more
concentrated solution.
2.Dilution will lower the concentration but will not change the number of moles of solute
dissolved in the solution.
3.Therefore, the mass of the solute dissolved in the solution remains unchanged. 
4.  The concentration of the diluted solution can be calculated using the following formula:
M1V1 = M2V2
Where
•M1 = concentration of the concentrated
            solution
•V1 = volume of the concentrated solution
•M2 = concentration of the diluted solution
•V2 = volume of the diluted solution

Sample 3:
   50 cm3 of 2.0 mol dm-3 solution of sodium hydroxide is added with 200 cm3 of
   distilled water. What is the concentration of the solution produced?
Solution:
M1V1 = M2V2
2(50) = M2 (200+50)
    M2 = 0.4 mol dm-3


Sample 4:
Calculate the volume of 1.0 mol dm-3 hydrochloric acid needed to prepare 200 cm3 of
0.2 mol dm-3 hydrochloric acid.

Solution:
M1V1 = M2V2

1 x V1 = 0.2 x 200
      V1 = 40 cm3




pH value with molarity of acid and alkali
1.When the pH value of an acid decreases, the molarity of the acid increases.
2.When the pH value of an alkali increases, the molarity of the alkali increases.


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