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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)` |
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Answer» Correct Answer - `T_(f)=-11.625^(@)C` 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`. |
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