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The molarity of a concentrated H2SO4 solution is 18 M and its density is 1.8 g/cm³. Find the molality of the solution.

1. 18 m
2. 100 m
3. 36 m
4. 500 m

Correct answer: 500 m

Solution

Consider 1 litre of solution. Mass of solution = 1000 mL * 1.8 g/mL = 1800 g. Moles of H2SO4 = 18 mol. Mass of H2SO4 = 18 * 98 = 1764 g. Mass of water = 1800 - 1764 = 36 g = 0.036 kg. Molality = 18 mol / 0.036 kg = 500 mol/kg.

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