Home
Class 12
CHEMISTRY
A motor vehicle raditor was filled with ...

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)`

Text Solution

Verified by Experts

The correct Answer is:
`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`.
Promotional Banner

Similar Questions

Explore conceptually related problems

What do you understand by the term that K_(f) for water is 1.86 K kg mol^(-1) ?

Calculate the amount of KCl which must be added to 1 kg of water so that the freezing point is depressed by 2 K. (K_(f) " for water = " 1.86 " K kg "mol^(-1))

Calcualate the amount of NaCl which must be added to 100 g water so that the freezing point, depressed by 2 K . For water K_(f) = 1.86 K kg mol^(-1) .

At 10^(@) C, the average osmotic pressure of blood is 8.8 atm. Find the concentration of the various constituents in the blood. Assuming that the concentration is the same as the molarity. Find the freezing point of the solution (K_(f) " for water " = 1.86 K" kg mol"^(-1))

18 g of glucose (C_(6)H_(12)O_(6)) is dissolved in 1 kg of water in a saucepan. At what temperature will the water boil (at 1 atm) ? K_(b) for water is 0.52 K kg mol^(-1) .

What is the boiling point of an aqueous solution containing 0.6g of urea in 100g of water? Kb for water is 0.52 K kg mol^(-1) .

Calculate the amount of ice that will separate out on cooling containing 50 g of ethylene glycol in 200 g of water to -9.3^(@)C (K_(f) for water = 1.86 K mol^(-1) kg )

Calculate the molar mass of a substance 1 g of which when dissolved in 100 g of water gave a solution boiling at 100.1^(@)C at a pressure of 1 atm (K_(b) for water = 0.52 K kg mol^(-1))

What should be the freezing point of aqueous solution containing 17g of C_(2)H_(5)OH in 1000g of water ( K_(f) for water = 1.86 deg kg mol^(-1)) ?

Calculate the freezing point of an aqueous solution containing 10.50 g of MgBr_(2) in 200 g of water (molar mass of MgBr_(2) = 184 g. K_(f) for water = 1.86 K kg mol^(-1) )