In winter,the normal temperature in Kullu val | vedclass

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(A) The molar mass of ethylene glycol $(C_2H_6O_2)$ is $62\, g\, mol^{-1}$.Given $28\%$ by mass solution means $28\, g$ of ethylene glycol in $72\, g$

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Yes

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(A) The molar mass of ethylene glycol $(C_2H_6O_2)$ is $62\, g\, mol^{-1}$.Given $28\%$ by mass solution means $28\, g$ of ethylene glycol in $72\, g$ of water.Molality $(m)$ $= \frac{	ext{mass of solute}}{	ext{molar mass of solute} 	imes 	ext{mass of solvent in kg}} = \frac{28}{62 	imes 0.072} \approx 6.27\, mol\, kg^{-1}$.Depression in freezing point $\Delta T_f = K_f 	imes m = 1.86 	imes 6.27 \approx 11.66\, K$.The freezing point of the solution $= 0 - 11.66 = -11.66\, ^{\circ}C$.Since the freezing point of the solution $(-11.66\, ^{\circ}C)$ is lower than the ambient temperature $(-11\, ^{\circ}C)$,the solution will not freeze.Therefore,it is suitable for a car radiator.

In winter,the normal temperature in Kullu valley was found to be $-11\,^{\circ}C$. Is a $28\%$ (by mass) aqueous solution of ethylene glycol suitable for a car radiator? $K_f$ for water $= 1.86\, K\, kg\, mol^{-1}$.

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