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Q. What is the molarity of $H _{2} SO _{4}$ solution that has a density of $1.84\, g / cc$ at $35^{\circ} C$ and contains $98 \%$ by weight?

AIIMSAIIMS 2009Some Basic Concepts of Chemistry

Solution:

Molarity

$=\frac{\text { wt. of solute }}{\text { mol. wt. }} \times \frac{1000}{\text { vol. of solution (in ml.) }}$

(Volume of solution $=\frac{\text { mass }}{\text { density }}=\frac{100}{1.84} $

$=54.34\, ml$ )

Now molarity $=\frac{98}{98} \times \frac{1000}{54.34} $

$=18.4 \,M$