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BITSAT 2010
Exam
BITSAT
Year
2010
Subject
Chemistry
Chapter
Solutions

BITSAT 2010 · Chemistry · Solutions

Coolant used in car radiator is aqueous solution of ethylene...

Coolant used in car radiator is aqueous solution of ethylene glycol. In order to prevent the solution from freezing at −0.3∘C-0.3^{{}^{\circ}} \mathrm{C}. How much ethylene glycol must be added to 5 kg5 \mathrm{~kg} of water ? (Kf=1.86 KKgmol−1)\left(\mathrm{K}_{\mathrm{f}}=1.86 \mathrm{~K} \mathrm{Kg} \mathrm{mol}^{-1}\right)

Options

  1. A50g50 \mathrm{ g}
  2. B55g55 \mathrm{ g}
  3. C45g45 \mathrm{ g}
  4. D40g40 \mathrm{ g}

Correct answer

A. 50g50 \mathrm{ g}

Step-by-step solution

ΔTf=0.3∘C\Delta \mathrm{T}_{\mathrm{f}}=0.3^{{}^{\circ}} \mathrm{C}ΔTf=Kf×WB×1000MB×WA0.3=1.86×WB×100062×5000\begin{array}{l} \Delta \mathrm{T}_{\mathrm{f}}=\frac{\mathrm{K}_{\mathrm{f}} \times \mathrm{W}_{\mathrm{B}} \times 1000}{\mathrm{M}_{\mathrm{B}} \times \mathrm{W}_{\mathrm{A}}}\\ 0.3=\frac{1.86 \times \mathrm{W}_{\mathrm{B}} \times 1000}{62 \times 5000} \end{array}∴WB=50g\therefore \mathrm{W}_{\mathrm{B}}=50 \mathrm{ g} The amount used should be more than 50g50 \mathrm{ g}.
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