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Chemistry Level 4

A beaker contains a 2.7 g 2.7\text{ g} of a mixture of pure nitric acid and sulphuric acid. 5.6 N 5.6\text{ N} aqueous solution of calcium hydroxide having mass 2.8 g 2.8\text{ g} and density 0.3 g/ml 0.3\text{ g/ml} is required to completely neutralise this mixture, then find the percentage composition of sulphuric acid in the mixture.

Round your answer to the nearest integer.


The answer is 77.

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1 solution

Ashish Menon
Apr 28, 2016

Let the amount of nitric acid in the mixture be a a grams and the amount of sulphuric acid in the mixture be b b grams.
Then milliequivalence of calcium hydroxide used is equal to the total milliequivalence of the contents of the mixture.

Milliequivalence of H N O 3 HNO_3 = a 63 1 × 1000 = 1000 a 63 \dfrac{a}{\dfrac{63}{1}} × 1000 = \dfrac{1000a}{63}

Milliequivalence of H 2 S O 4 H_2SO_4 = b 98 2 × 1000 = 1000 a 49 \dfrac{b}{\dfrac{98}{2}} × 1000 = \dfrac{1000a}{49}

Milliequivalence of C a ( O H ) 2 Ca{(OH)}_2 = 5.6 × 2.8 0.3 = 52.27 \dfrac{5.6 × 2.8}{0.3} = 52.27

Therefore, 1000 a 63 + 1000 b 49 = 52.27 7000 a + 9000 b 441 = 52.27 7000 a + 9000 b = 23051.57 1 \dfrac{1000a}{63} + \dfrac{1000b}{49} = 52.27\\ \dfrac{7000a + 9000b}{441} = 52.27\\ 7000a + 9000b = 23051.57 \longrightarrow \boxed{1}

Now, we know that the total volume of the mixture is 2.7 2.7 g, so:-
a + b = 2.7 2 a + b = 2.7 \longrightarrow \boxed{2}

Multiplying 2 \boxed{2} by 7000 7000 , we get:-
7000 a + 7000 b = 18900 3 7000a + 7000b = 18900 \longrightarrow \boxed{3}

Subtracting 3 \boxed{3} from 1 \boxed{1} , we get:-
2000 b = 4151.07 b = 2.08 2000b = 4151.07\\ b = 2.08

So, % composition of sulphuric acid in mixture = 2.08 2.7 × 100 = 77.04 77 % \dfrac{2.08}{2.7} × 100\\ = 77.04\\ \approx \boxed{77\%} .


NOTE \text{NOTE} :-
There are two formulas for calculating milliequivalence.
1) given weight × n-factor molecular weight × 100 \dfrac{\text{given weight} × \text{n-factor}}{\text{molecular weight}} × 100
2) Normality × Volume = Normality × Mass Density \text{Normality} × \text{Volume} = \text{Normality} × \dfrac{\text{Mass}}{\text{Density}}

I have used the former method for the calculation of milliequivalence of the contents of the mixture because normality was not mentioned. Whereas I have used the latter method in calculation of the milliequivalence of calcium hydroxide because that it easier when normality of the solution is mentioned.

typo in 2nd statement .

A Former Brilliant Member - 4 years, 2 months ago

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