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Ethylene glycol is used as an antifreeze...

Ethylene glycol is used as an antifreeze agent. Calculate the amount of ethylene glycol to be added to 4 kg of water to prevent it from freezing at `-6^@C`.
`(K_f " for " H_2O = 1*85 K "mole"^(-1) kg)`

Text Solution

Verified by Experts

`DeltaT_(f)=6^(@)C, K_(f)=1.85"K mol"^(-1)kg`
Weight of solvent `= 4 kg = 4 xx 10^(3)g`
Mol. mass of ethylene glycol, `CH_(2)OH.CH_(2)OH`
`=2xx12+6xx1+2xx16=62" g mol"^(-1)`
`DeltaT_(f)=(K_(f) xx "wt. of solute" xx 1000)/("Mol. wt. of solute" xx "wt. of solvent")`
`6=(1.85xxW_(2)xx1000)/(62xx4xx10^(3))`
or `W_(2)=(6xx62xx4)/(1.85)=804.3g`
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