Calculate molarity, molality and mole fraction of potassium iodide if the density of 20% (mass/mass) aqueous potassium iodide is 1.202 grams/litre.

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Solution

Molarity of the solution can be calculated as:
M = (%w x d x 10) / MM₂.
where, %w = 20
d = 1.202 g/L
MM₂ = Molar mass of KOH
Molality can be calculated using the following formula:
m = (M x 1000) / [(1000 x d) - (M x MM₂)]
where, M = Molality
Mole fraction of aqueous solution of KOH can be calculated as:
x₂ = (m * M₁)/[(m * M₁) + 100]
where, M₁ = Molar mass of solvent = 18 g/mol

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