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JEE Main 2025 (Online) 23rd January Evening ShiftMCQHard📈 Topic in 12% papers+4−1
Ques. 1JEE Main 2025, 23 January (Evening Shift)

Consider a binary solution of two volatile liquid components 1 and 2. x1 and y1 are the mole fractions of component 1 in liquid and vapour phase, respectively. The slope and intercept of the linear plot of 1x1 vs 1y1 are given respectively as :

  1. P10P20, P10-P20P20
  2. P20P10, P20-P10P10
  3. P20P10, P10-P20P20
  4. P10P20, P20-P10P20

Answer

(4) P10P20, P20-P10P20

Solution

p1=x1p10=y1pT, pT=p20+x1(p10-p20)

⇒ 1y1= p20p10 1x1+ p10-p20p10

Make 1x1 the subject: 1x1= p10p20 1y1+ p20-p10p20

∴ slope = p10p20, intercept = p20-p10p20

Answer: (4)

Keep practising — Solutions

Ques. 2JEE Main 2025, 22 January (Morning Shift)

Arrange the following solutions in order of their increasing boiling points. (i) 10-4 M NaCl (ii) 10-4 M Urea (iii) 10-3 M NaCl (iv) 10-2 M NaCl

  1. (i) < (ii) < (iii) < (iv)
  2. (ii) < (i) < (iii) < (iv)
  3. (iv) < (iii) < (i) < (ii)
  4. (ii) < (i) (iii) < (iv)
Ques. 3JEE Main 2025, 22 January (Evening Shift)

Density of 3 M NaCl solution is 1.25 g/mL. The molality of the solution is :

  1. 2.79 m
  2. 2 m
  3. 1.79 m
  4. 3 m
Ques. 4JEE Main 2024, 9 April (Morning Shift)

0.05 M CuSO4 when treated with 0.01 M K2Cr2O7 gives green colour solution of Cu2Cr2O7. The two solutions are separated as shown below : [SPM : Semi Permeable Membrane] [figure] Due to osmosis :

  1. Molarity of K2Cr2O7 solution is lowered.
  2. Green colour formation observed on side Y.
  3. Molarity of CuSO4 solution is lowered.
  4. Green colour formation observed on side X.
Ques. 5JEE Main 2024, 9 April (Morning Shift)

Molarity (M) of an aqueous solution containing x g of anhyd. CuSO4 in 500 mL solution at 32 is 2 10-1 M. Its molality will be 10-3 m. (nearest integer). [Given density of the solution = 1.25 g/mL]

Ques. 6JEE Main 2024, 9 April (Evening Shift)

The vapor pressure of pure benzene and methyl benzene at 27 C is given as 80 Torr and 24 Torr, respectively. The mole fraction of methyl benzene in vapor phase, in equilibrium with an equimolar mixture of those two liquids (ideal solution) at the same temperature is 10-2 (nearest integer)

Ques. 7JEE Main 2024, 8 April (Morning Shift)

A solution containing 10 g of an electrolyte AB2 in 100 g of water boils at 100.52°C. The degree of ionization of the electrolyte ( ) is 10-1. (nearest integer) [Given : Molar mass of AB2 = 200 g mol-1, Kb (molal boiling point elevation const. of water) = 0.52 K kg mol-1, boiling point of water = 100°C; AB2 ionises as AB2 A2+ + 2B-]

Ques. 8JEE Main 2024, 8 April (Evening Shift)

A solution is prepared by adding 1 mole ethyl alcohol in 9 mole water. The mass percent of solute in the solution is (Integer answer) (Given : Molar mass in g mol-1 Ethyl alcohol : 46 water : 18)

Ques. 9JEE Main 2024, 8 April (Evening Shift)

Molality of an aqueous solution of urea is 4.44 m. Mole fraction of urea in solution is x 10-3, Value of x is . (Integer answer)

Ques. 10JEE Main 2024, 6 April (Morning Shift)

Consider the dissociation of the weak acid HX as given below HX(aq) H+(aq) + X-(aq), Ka = 1.2 10-5 [Ka : dissociation constant] The osmotic pressure of 0.03 M aqueous solution of HX at 300 K is 10-2 bar (nearest integer). [Given : R = 0.083 L bar mol-1 K-1]

Ques. 11JEE Main 2024, 6 April (Evening Shift)

When 'x' 10-2 mL methanol (molar mass = 32 g, density = 0.792 g/cm3) is added to 100 mL water (density = 1 g/cm3), the following diagram is obtained. [figure] x = (nearest integer). [Given : Molal freezing point depression constant of water at 273.15 K is 1.86 K kg mol-1]

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