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BITSAT 2023Paper 1
Exam
BITSAT
Year
2023
Paper
Paper 1
Subject
Chemistry
Chapter
Solutions

BITSAT 2023 · Paper 1 · Chemistry · Solutions

How much ethyl alcohol must be added to 1 litre of water so that...

How much ethyl alcohol must be added to 1 litre of water so that the solution will freeze at 14∘C14^{{}^{\circ}} \mathrm{C} ?
\left(\mathrm{K}_{\mathrm{f}}\right.forwater=1.86∘C/mol)for water \left.=1.86^{{}^{\circ}} \mathrm{C} / \mathrm{mol}\right)

Options

  1. A7.5mol7.5 \mathrm{ mol}
  2. B8.5mol8.5 \mathrm{ mol}
  3. C9.5mol9.5 \mathrm{ mol}
  4. D10.5mol10.5 \mathrm{ mol}

Correct answer

A. 7.5mol7.5 \mathrm{ mol}

Step-by-step solution

7.5mol7.5 \mathrm{ mol}
ΔTf=Kfm\Delta T_f=K_f m
ΔTf=Kfn2×1000w1\Delta T_f=K_f \frac{n_2 \times 1000}{w_1}
⇒14=1.86×n2×10001000\Rightarrow 14=1.86 \times \frac{n_2 \times 1000}{1000}
n2=7.5moln_2=7.5 \mathrm{ mol}
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