The density of a solution of acetic acid in water is . What is the molality of the solution? — Solutions and Colligative Properties Chemistry Question
Question
The density of a $2.05\text{ M}$ solution of acetic acid in water is $1.02\text{ g mL}^{-1}$. What is the molality of the solution?
Answer: D
💡 Solution & Explanation
Molality $m = \frac{1000 \times M}{1000 \times d - (M \times M_B)}$. Here, $M = 2.05$, $d = 1.02$, $M_B = 60\text{ g/mol}$. $m = \frac{1000 \times 2.05}{1020 - (2.05 \times 60)} = \frac{2050}{1020 - 123} = \frac{2050}{897} = 2.28\text{ m}$.
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