A motor vehicle raditor was filled with `8 L`of water to which `2 L`of methyl alcohol `(density 0.8 g mL^(-1))` was added. What is the lowest temperature at which the vehicle can be parked outdoors without the danger that the water in the raditor will freeze? Given that `K_(f)` for water is `1.86 K kg mol^(-1)`

Answer

`T_(f)=-11.625^(@)C`

Explanation

Mass of `8 L` water = `8 kg` or `8000 g` because density is `1`.
Mass of density alcohol added =Density`xx`Volume
=`0.8 xx 2000`
=`1600 g`
`DeltaT_(f)=K_(f)m`
=`1.86 xx 1600/32 xx 1/8000 xx1000`
=`11.625^(@)C`
Therefore, the lowest temperature at which the vehicle can be parked outdoors without the danger that the raditor will freeze is `-11.625^(@)C`.