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MHT CET 202625 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
25 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

MHT CET 2026 · 25 April · Evening Shift · Chemistry · Solutions

What is boiling point of solution containing 7.45\ g of KCl in 500\...

What is boiling point of solution containing 7.45 g7.45\ \text{g} of KCl\text{KCl} in 500 g500\ \text{g} of water, assuming 80%80\% dissociation of KCl\text{KCl}? (molar mass of KCl=74.5 g/mole\text{KCl} = 74.5\ \text{g/mole}, kbk_b for water =0.52 K/molal= 0.52\ \text{K/molal})

Options

  1. A99.8128\ ^{}^{\circ}\text{C}
  2. B100.1872\ ^{}^{\circ}\text{C}
  3. C100.0936\ ^{}^{\circ}\text{C}
  4. D100.3744\ ^{}^{\circ}\text{C}

Correct answer

B. 100.1872\ ^{}^{\circ}\text{C}

Step-by-step solution

Molality of the solution is given by:

m=wM×W(in kg)=7.4574.5×0.5=0.2 mm = \dfrac{w}{M \times W(\text{in kg})} = \dfrac{7.45}{74.5 \times 0.5} = 0.2\ \text{m}

For KCl\text{KCl}, the dissociation reaction is KCl→K++Cl−\text{KCl} \rightarrow \text{K}^+ + \text{Cl}^-.

The van't Hoff factor ii is:

i=1+(n−1)αi = 1 + (n - 1)\alpha

Since n=2n = 2 and α=0.8\alpha = 0.8:

i=1+(2−1)×0.8=1.8i = 1 + (2 - 1) \times 0.8 = 1.8

The elevation in boiling point is:

ΔTb=i×Kb×m\Delta T_b = i \times K_b \times m

\Delta T_b = 1.8 \times 0.52 \times 0.2 = 0.1872\ ^{}^{\circ}\text{C}

The boiling point of the solution is:

T_b = 100\ ^{}^{\circ}\text{C} + \Delta T_b = 100\ ^{}^{\circ}\text{C} + 0.1872\ ^{}^{\circ}\text{C} = 100.1872\ ^{}^{\circ}\text{C}

Answer: 100.1872\ ^{}^{\circ}\text{C}
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