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Solutions · Question 7

JEE Main 2026 (Online) 4th April Morning ShiftNumericalMedium📈 Topic in 10% papers+4
1

A non-volatile, non-electrolyte solid solute when dissolved in 40 g of a solvent, the vapour pressure of the solvent decreased from 760 mm Hg to 750 mm Hg. If the same solution boils at 320 K, then the number of moles of the solvent present in the solution is . (Nearest integer) [Given: boiling point of the pure solvent = 319.5 K, Kb of the solvent = 0.3 K kg mol-1]

Answer

5

Solution

Elevation of boiling point: Tb = 320 - 319.5 = 0.5 K

Tb = Kb m ⇒ m = 0.50.3 = 53 mol kg-1

Moles of solute, n = m Wsolvent = 53 0.040 = 115 mol

Relative lowering of vapour pressure (Raoult's law): p - pp = nn + N

⇒ 760 - 750760 = 176 = nn + N

⇒ n + N = 76n ⇒ N = 75n = 75 115 = 5

∴ Moles of solvent = 5

Answer: 5

JEE Main 2026 (Online) 4th April Morning Shift

Keep practising — Solutions

2

At 27 °C, 0.1 M, 1 L K4[Fe(CN)6] aqueous solution and 0.1 M, 1 L FeCl3 aqueous solution are placed in a container separated by a semi permeable membrane AB. Assume complete dissociation of both the solutes. Which of the following statement is correct? [figure]

  1. Blue color is formed on both sides.
  2. Ionic solutes in aqueous solution can pass through semi-permeable membrane.
  3. Solution on side 'y' is hypotonic.
  4. To cause the reverse flow of solvent during osmosis, external pressure (any value) should be applied to side 'x'.
JEE Main 2026 (Online) 4th April Evening Shift
3

19.5 g of fluoro acetic acid (molar mass = 78 g mol-1) is dissolved in 500 g of water at 298 K. The depression in the freezing point of water was 1°C. What is Ka of fluoro acetic acid ? (For water, Kf = 1.86 K kg mol-1). Assume molarity and molality to have same values.

  1. 10-6
  2. 4 10-4
  3. 3 10-5
  4. 3 10-3
JEE Main 2026 (Online) 2nd April Morning Shift
4

Solution A is prepared by dissolving 1 g of a protein (molar mass = 50,000 g mol-1) in 0.5 L of water at 300 K. Its osmotic pressure is x bar. Solution B is made by dissolving 2 g of the same protein in 1 L of water at 300 K. Osmotic pressure of solution B is y bar. Entire solution of A is mixed with entire solution of B at the same temperature. The osmotic pressure of resultant solution is z bar. x, y and z respectively are: (R = 0.083 L bar mol-1 K-1)

  1. 9.96 10-4; 9.96 10-4; 9.96 10-4
  2. 9.96 10-4; 9.96 10-4; 19.92 10-4
  3. 4.98 10-4; 4.98 10-4; 9.96 10-4
  4. 4.98 10-4; 4.98 10-4; 4.98 10-4
JEE Main 2026 (Online) 2nd April Evening Shift
5

At T(K), 2 moles of liquid A and 3 moles of liquid B are mixed. The vapour pressure of ideal solution formed is 320 mm Hg. At this stage, one mole of A and one mole of B are added to the solution. The vapour pressure is now measured as 328.6 mm Hg. The vapour pressure (in mm Hg) of A and B are respectively:

  1. 400, 300
  2. 600, 400
  3. 500, 200
  4. 300, 200
JEE Main 2026 (Online) 28th January Morning Shift
6

Consider the following aqueous solutions. I. 2.2 g glucose in 125 mL of solution. II. 1.9 g calcium chloride in 250 mL of solution. III. 9.0 g urea in 500 mL of solution. IV. 20.5 g aluminium sulphate in 750 mL of solution. The correct increasing order of boiling point of these solutions will be : [Given : Molar mass in g mol-1 : H = 1, C = 12, N = 14, O = 16, Cl = 35.5, Ca = 40, Al = 27 and S = 32]

  1. III < I < II < IV
  2. II < III < IV < I
  3. II < III < I < IV
  4. I < II < III < IV
JEE Main 2026 (Online) 28th January Evening Shift
7

A solution is prepared by dissolving 0.3 g of a non-volatile non-electrolyte solute 'A' of molar mass 60 g mol-1 and 0.9 g of a non-volatile non-electrolyte solute 'B' of molar mass 180 g mol-1 in 100 mL H2O at 27 . Osmotic pressure of the solution will be [Given: R = 0.082 L atm K-1 mol-1]

  1. 2.46 atm
  2. 0.82 atm
  3. 1.47 atm
  4. 1.23 atm
JEE Main 2026 (Online) 24th January Morning Shift
8

'W' g of a non-volatile electrolyte solid solute of molar mass 'M' g mol-1 when dissolved in 100 mL water, decreases vapour pressure of water from 640 mm Hg to 600 mm Hg. If aqueous solution of the electrolyte boils at 375 K and Kb for water is 0.52 K kg mol-1, then the mole fraction of the electrolyte solute (x2) in the solution can be expressed as (Given : density of water = 1 g/mL and boiling point of water = 373 K)

  1. 162.6 WM
  2. 1.38 MW
  3. 2.616 MW
  4. 1.38 WM
JEE Main 2026 (Online) 24th January Morning Shift
9

At 298 K, the mole percentage of N2(g) in air is 80\%. Water is in equilibrium with air at a pressure of 10 atm. What is the mole fraction of N2(g) in water at 298 K? (KH for N2 is 6.5 107 mmHg)

  1. 9.35 10-5
  2. 9.35 105
  3. 1.23 10-7
  4. 1.17 10-4
JEE Main 2026 (Online) 24th January Evening Shift
10

Two liquids A and B form an ideal solution at temperature T K. At T K, the vapour pressures of pure A and B are 55 and 15 kN m-2 respectively. What is the mole fraction of A in solution of A and B in equilibrium with a vapour in which the mole fraction of A is 0.8?

  1. 0.5217
  2. 0.480
  3. 0.340
  4. 0.663
JEE Main 2026 (Online) 24th January Evening Shift
11

Which one of the following graphs accurately represents the plot of partial pressure of CS2 vs its mole fraction in a mixture of acetone and CS2 at constant temperature?

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
JEE Main 2026 (Online) 23rd January Morning Shift

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