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Solutions · Question 30

JEE Main 2025 (Online) 4th April Evening ShiftMCQEasy📈 Topic in 6% papers+4−1
1

Given below are two statements: In the light of the above statements, choose the most appropriate answer from the options given below :

  1. Statement I is correct but Statement II is incorrect
  2. Both Statement I and Statement II are incorrect
  3. Statement I is incorrect but Statement II is correct
  4. Both Statement I and Statement II are correct

Answer

(1) Statement I is correct but Statement II is incorrect

Solution

Statement I: Kf = R M1 Tf2 fusH (M1 = molar mass of solvent in kg mol-1)

fusS = fusHTf

Kf = M1 R Tf Sfus Statement I is correct.

Statement II: As per NCERT, Kf (benzene) = 5.12 K kg mol-1 and Kf (water) = 1.86 K kg mol-1.

Kf for benzene is greater than that for water Statement II is incorrect.

Answer: (1)

JEE Main 2025 (Online) 4th April Evening Shift

Keep practising — Solutions

2

Sea water, which can be considered as a 6 molar (6 M) solution of NaCl, has a density of 2 g mL-1. The concentration of dissolved oxygen (O2) in sea water is 5.8 ppm. Then the concentration of dissolved oxygen (O2) in sea water, in terms of molality, is x 10-4 m. x = . (Nearest integer) Given: Molar mass of NaCl is 58.5 g mol-1 Molar mass of O2 is 32 g mol-1

JEE Main 2025 (Online) 4th April Evening Shift
3

2 moles each of ethylene glycol and glucose are dissolved in 500 g of water. The boiling point of the resulting solution is: (Given : Ebullioscopic constant of water = 0.52 K kg mol-1)

  1. 377.3 K
  2. 379.2 K
  3. 375.3 K
  4. 277.3 K
JEE Main 2025 (Online) 3rd April Morning Shift
4

A solution is made by mixing one mole of volatile liquid A with 3 moles of volatile liquid B. The vapour pressure of pure A is 200 mm Hg and that of the solution is 500 mm Hg. The vapour pressure of pure B and the least volatile component of the solution, respectively, are:

  1. 1400 mm Hg, A
  2. 1400 mm Hg, B
  3. 600 mm Hg, A
  4. 600 mm Hg, B
JEE Main 2025 (Online) 2nd April Morning Shift
5

Which of the following graph correctly represents the plots of KH at 1 bar for gases in water versus temperature?

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
JEE Main 2025 (Online) 2nd April Morning Shift
6

When 1 g each of compounds AB and AB2 are dissolved in 15 g of water separately, they increased the boiling point of water by 2.7 K and 1.5 K respectively. The atomic mass of A (in amu) is 10-1 (Nearest integer) (Given : Molal boiling point elevation constant is 0.5 K kg mol-1)

JEE Main 2025 (Online) 2nd April Evening Shift
7

1.24 g of AX2 (molar mass 124 g mol-1) is dissolved in 1 kg of water to form a solution with boiling point of 100.0156°C, while 25.4 g of AY2 (molar mass 250 g mol-1) in 2 kg of water constitutes a solution with a boiling point of 100.0260°C. Kb(H2O) = 0.52 kg mol-1 Which of the following is correct?

  1. AX2 and AY2 (both) are completely unionised.
  2. AX2 and AY2 (both) are fully ionised.
  3. AX2 is completely unionised while AY2 is fully ionised.
  4. AX2 is fully ionised while AY2 is completely unionised.
JEE Main 2025 (Online) 29th January Morning Shift
8

If A2B is 30% ionised in an aqueous solution, then the value of van't Hoff factor (i) is 10-1.

JEE Main 2025 (Online) 29th January Morning Shift
9

What is the freezing point depression constant of a solvent, 50 g of which contain 1 g non-volatile solute (molar mass 256 g mol-1) and the decrease in freezing point is 0.40 K?

  1. 4.43 K kg mol-1
  2. 3.72 K kg mol-1
  3. 5.12 K kg mol-1
  4. 1.86 K kg mol-1
JEE Main 2025 (Online) 28th January Morning Shift
10

Assume a living cell with 0.9% (w/w) of glucose solution (aqueous). This cell is immersed in another solution having equal mole fraction of glucose and water. (Consider the data upto first decimal place only) The cell will :

  1. shrink since solution is 0.45% (w/w) as a result of association of glucose molecules (due to hydrogen bonding)
  2. shrink since solution is 0.5% (w/w)
  3. show no change in volume since solution is 0.9% (w/w)
  4. swell up since solution is 1% (w/w)
JEE Main 2025 (Online) 28th January Evening Shift

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