Molality of an aqueous solution of urea is 4.44 m. Mole fraction of urea in solution is . Value of is _____ (integer answer)

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Solution

Q.
Molality of an aqueous solution of urea is 4.44 m. Mole fraction of urea in solution is $x \times 10^{- 3}$ . Value of $x$ is _____ (integer answer) [2024]

Ans.
(74)

   $m = \frac{x_{solute} \times 1000}{x_{solvent} \times M_{solvent}}$

   $4.44 = \frac{x_{urea} \times 1000}{x_{water} \times 18}$

$\frac{x_{urea}}{x_{water}} = \frac{79.92}{1000}$

   $x_{urea} = \frac{79.92}{79.92 + 1000} = 74 \times 10^{- 3}$

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