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Question

calculate the molarity of 23% of h2so4 when density is 1.4 g/ml

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Solution

A 23% solution of H2SO4 means that 23g of sulphuric acid is present in 77g of water, thereby making the total mass of the solution equal to 100g. Thus

mass of sulphuric acid present = 23g

The molarity of a solution is given by the formula

molarity = number of moles of solute / Volume of solution (in litres)

= (mass of solute / molar mass of solute) X [1 / volume of solution (in litres)]

The volume of sulphuric acid solution will be calculated from its density by using the relation

Density = mass / Volume

We are given that the density of sulphuric acid solution is 1.4 g/ml.

So volume = mass / density = 100 / 1.4 = 71.428 ml

Thus molarity of 23% sulphuric acid solution will be

= (23 / 98) X (1000 / 71.428)

= 3.286 M


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