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MHT CET 202623 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
23 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Solutions

MHT CET 2026 · 23 April · Morning Shift · Chemistry · Solutions

The molal elevation constant for water is 0.52^ ^ C kg mol^ -1 ....

The molal elevation constant for water is 0.52^{}^{\circ} C kg mol^{-1}.Findouttheboilingpointofsolutionwhen6.0. Find out the boiling point of solution when 6.0 g of urea is dissolved in 200200 g of water. (molar mass of urea =60= 60 g/mol)

Options

  1. A110.28^{}^{\circ} C
  2. B100.26^{}^{\circ} C
  3. C50.14^{}^{\circ} C
  4. D0.26^{}^{\circ} C

Correct answer

B. 100.26^{}^{\circ} C

Step-by-step solution

Given:
Mass of urea, w2=6.0w_2 = 6.0 g
Molar mass of urea, M2=60M_2 = 60 g/mol
Mass of water, w1=200w_1 = 200 g =0.2= 0.2 kg
Molal elevation constant, Kb=0.52∘K_b = 0.52^{{}^{\circ}}C kg mol−1^{-1}

Number of moles of urea is:
n=w2M2=6.060=0.1n = \dfrac{w_2}{M_2} = \dfrac{6.0}{60} = 0.1 mol

Molality of the solution is:
m=nw1 (in kg)=0.10.2=0.5m = \dfrac{n}{w_1 \text{ (in kg)}} = \dfrac{0.1}{0.2} = 0.5 mol kg−1^{-1}

Elevation in boiling point is given by:
ΔTb=Kb×m\Delta T_b = K_b \times m
ΔTb=0.52×0.5=0.26∘\Delta T_b = 0.52 \times 0.5 = 0.26^{{}^{\circ}}C

The boiling point of pure water is 100∘100^{{}^{\circ}}C.
Therefore, the boiling point of the solution is:
Tb=100+ΔTb=100+0.26=100.26∘T_b = 100 + \Delta T_b = 100 + 0.26 = 100.26^{{}^{\circ}}C

Answer: 100.26^{}^{\circ}C
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