2 Chemistry -- Ionic Equilibrium

A commercial sample of sulphuric acid has a specific gravity of 1.8. 10 mL of this acid was diluted up to 1 liter with water. 10 mL of diluted acid required 30 mL of N/10 NaOH for complete neutralization. Calculate the percentage purity of H2SO4 in the commercial sample.

A commercial sample of sulphuric acid has a specific gravity of 1.8. 10 mL of this acid was diluted up to 1 liter with water. 10 mL of diluted acid required 30 mL of N/10 NaOH for complete neutralization. Calculate the percentage purity of H2SO4 in the commercial sample.

given that , 30 ml of N/10 NaOH was required , 
Applying Normality equation,
N1V1 = N2V2
N1V1 = ( 30 / 1000 ) x (1/10)     ------1
Again, 10 ml of diluted acid acid was taken 
N1 = 30 / 10 x (1/10) 
N1 = 0.3 
This means the normality of diluted acid was 0.3N 
Since 10 ml of the solution was diluted ,
Mass of acid in 10 ml ,
mass = NEVml /1000 
         =0.3 x ( 98/2 ) x 10 / (1000) 
         = 0.147g 
Since the total solution was of 1 litre, 
Total mass of acid = ( 0.147 / 10 ) x 1000 
                                   = 14.7 g 
Percentage purity (%C) = (real mass / assumed mass) x 100 % 
                                        = ( 14.7 / density x volume )x 100 % 
                                          = ( 14.7 / 1.8 x 100 ) x 100 % 
                                           = 81. 66% 

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