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Question

Molarity of H2SO4 is 18 M. It's density is 1.8g/cm​​​​​3, hence molality is?

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Solution

Remember : 1ml=1cm3
molality = mol H2SO4 /kg solvent
molarity = mol H2SO4 /L solution

Using density,
Mass of the solution = 1.8g/ml * 1000 ml = 1800g

Molecular weight of H2SO4 = 98g

Mass of solute (H2SO4) = 18 mol * 98 g = 1764 g

Mass of solvent = mass of solution - mass of solute
= 1800 g - 1764 g
= 36 g = 0.036 kg

Molality = mol H2SO4 / kg of solvent
= 18 mol/0.036kg
= 500 mol/kg


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