# Ethylene glycol is used as an antifreeze in a cold cliamate Mass of ethylene glycol which should be added to 4 kg for water to prevent it from freez

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Ethylene glycol is used as an antifreeze in a cold cliamate Mass of ethylene glycol which should be added to 4 kg for water to prevent it from freezing at -6^(@)C will be (K_(f) for water =1.86 K kg mol^(-1) and molar mass of ethylene glycol =62 g mol^(-1))
A. 400 g
B. 800 g
C. 304.60 g
D. 204.30 g

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We have
DeltaT_(f)=iK_(f)m
=(iK_(f)W_("solute"))/(M_("solute") W_("solvent"))
Thus, W_("solute")=(DeltaT_(f)M_("solute")W_("solvent"))/(iK_(f))
we are given
i=1
K_(f)=1.86 K kg mol^(-1)
DeltaT_(f)=T_(f^(0)-T_(f))=(0^(@)C)-(-6^(@)C)=6^(@)C= 6 K
M_("solute")=62 g mol^(-1)
W_("solvent")=4 kg
Substituting these results, we get
W_("solute")=((6 K)(62 g mol^(-1))(4 kg))/((1)(1.86 K kg mol^(-1))
=800 g