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If the radiator of an automobile contain...

If the radiator of an automobile contains `12 L` of water, how much would the freezing point be lowered by the addition of `5 kg` of prestone `("glycol" C_(2)H_(4)((OH)_(2))`. How many kg of Zeron (methyl alcohol) would be required to produce the same result?

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To solve the problem, we need to determine how much the freezing point of water is lowered by the addition of 5 kg of ethylene glycol (C₂H₄(OH)₂) and then find out how much methyl alcohol (Zeron) would be required to achieve the same freezing point depression. ### Step 1: Calculate the molality of ethylene glycol in water. 1. **Find the number of moles of ethylene glycol (C₂H₄(OH)₂)**: - The molar mass of ethylene glycol (C₂H₄(OH)₂) is calculated as follows: - Carbon (C): 2 × 12 g/mol = 24 g/mol - Hydrogen (H): 6 × 1 g/mol = 6 g/mol ...
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K_(f) for water is 1.86 K kg mol^(-1) . If your automobile radiator holds 1.0 kg of water, how many grams of ethylene glycol (C_(2)H_(6)O_(2)) must you add to get the freezing point of the solution lowered to -2.8^(@)C ?

The boiling point elevation and freezing point depression of solutions have a number of partical applications. Ethylene glycol (CH_(2)OH-CH_(2)OH) is used in automobile radiatiors as an antifreeze because it lowers the freezing point of the coolant. The same substance also helps to prevent the radiator coolant from boiling away by elevating the boiling point. Ethylene glycol has low vapour pressure. We can also use glycerol as an antifreeze. In order for the boiling point elevation to occur, the solute must be non-volatile, but no such restriction applies to freezing point depression. For example, methanol (CH_(3)OH) , a fairly volatile liquid that boils only at 65^(@)C , is sometimes used as an antifreeze in automobile radiators. 620 g glycol is added to 4 kg water in the radiator of car. What amount of ice will separate out at -6^(@)C ?

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