Ethylene glycol is used as an antifreeze in a cold climate. Mass of ethylene glycol which should be added to 4 kg of water to prevent it from freezing at $-6^{\circ}\mathrm{C}$ will be : [ $\mathrm{K}_{\mathrm{f}}$ for water $=1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$, and molar mass of ethylene glycol $=62 \mathrm{~g} \mathrm{~mol}^{-1}$ )

JEE Main · 2011 · 10 Apr 2011 · Offline · Solutions

Ethylene glycol is used as an antifreeze in a cold climate. Mass of ethylene glycol which should be added to 4 kg of water to prevent it from freezing at

- 6^{\circ} C

will be : [

K_{f}

for water

= 1.86 K kg mol^{- 1}

, and molar mass of ethylene glycol

= 62 g mol^{- 1}

)

(A)204.30 g
(B)400.00 g
(C)304.60 g
(D)800 g✓ Correct

Answer: (D)

Solution

The freezing point must drop by

Δ T_{f} = 6 K

. From

Δ T_{f} = K_{f} m

, the required molality is

m = \frac{6}{1.86} = 3.23 mol kg^{- 1}

. For

4 kg

of water this needs

3.23 \times 4 = 12.9 mol

of ethylene glycol, and with a molar mass of

62 g mol^{- 1}

the mass works out to

12.9 \times 62 = 800 g

JEE Main · 2011 · 10 Apr 2011 · Offline · Single correct option

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