A non-volatile solute 'A' tetramerizes in wat | vedclass

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(C) Given: Degree of association $\alpha = 80\% = 0.8$ and $n = 4$ (for tetramerization). Van't Hoff factor $i = 1 + (\frac{1}{n} - 1)\alpha = 1 + (\f

Vedclass · Accepted Answer

$62$

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(C) Given: Degree of association $\alpha = 80\% = 0.8$ and $n = 4$ (for tetramerization). Van't Hoff factor $i = 1 + (\frac{1}{n} - 1)\alpha = 1 + (\frac{1}{4} - 1) 	imes 0.8 = 1 - 0.6 = 0.4$. Depression in freezing point $\Delta T_f = i 	imes K_f 	imes m$. $0.3 = 0.4 	imes 1.86 	imes \frac{2.5 	imes 1000}{M_A 	imes 100}$. $0.3 = 0.4 	imes 1.86 	imes \frac{25}{M_A}$. $M_A = \frac{0.4 	imes 1.86 	imes 25}{0.3} = \frac{18.6}{0.3} = 62 	ext{ g mol}^{-1}$.

$A$ non-volatile solute '$A$' tetramerizes in water to the extent of $80\%$. $2.5 \text{ g}$ of '$A$' in $100 \text{ g}$ of water lowers the freezing point by $0.3^\circ \text{C}$. The molar mass of $A$ in $\text{g mol}^{-1}$ is ($K_f$ for water $= 1.86 \text{ K kg mol}^{-1}$)

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