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Question

How many mL of H2SO4 of density 1.8 g mL1 containing 92.5 % by volume of H2SO4 should be added to 1 L of 40 % solution of H2SO4 (density 1.3 g mL1) in order to prepare 50 % solution of H2SO4 (density 1.4 g mL1)?
  1. 186

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Solution

The correct option is A 186
Molarity of solution containing 92.5% H2SO4 may be calculated as:
Molarity (M1) = volume of H2SO4×Density×100098×100
= 92.5×1.8×100098×100
= 16.99M
Molarity of solution containing 40,
M2=40×1.3×100098×100
= 5.31 M

Molarity of required solution containing 50% H2SO4:
M=50×1.4×100098×100
= 7.14 M
Let V litre of a solution with molarity (M1) is added to 1 litre of solution with molarity (M2)
To prepare (1+V) litre of solution with molarity M, then:
M1×V1+M2×V2 = M×V
16.99×V+5.31×1 = 7.14×(1+V)
= 9.85 V=1.83
= V=1.839.85 = 0.186 L
Or 186 mL

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