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When a non-volatile solute is added to the solvent, the vapour pressure of the solvent decreases by \( 10 \, \text{mm of Hg} \). The mole fraction of the solute in the solution is \( 0.2 \). What would be the mole fraction of the solvent if decreases in vapour pressure is \( 20 \, \text{mm of Hg} \)?

Density of \( 3 \, \text{M} \) \( \mathrm{NaCl} \) solution is \( 1.25 \, \text{g/mL} \). The molality of the solution is:

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

Liquid A and B form an ideal solution. The vapour pressure of pure liquids A and B are \( 350 \) and \( 750 \) mm Hg respectively at the same temperature. If \( X_A \) and \( X_B \) are the mole fraction of A and B in solution while \( Y_A \) and \( Y_B \) are the mole fraction of A and B in vapour phase then,

Assume a living cell with \( 0.9\% \) \( (\omega/\omega) \) 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:

Given below are two statements:
Statement (I): \( \mathrm{NaCl} \) is added to the ice at \( 0^{\circ} \text{C} \), present in the ice cream box to prevent the melting of ice cream.
Statement (II): On addition of \( \mathrm{NaCl} \) to ice at \( 0^{\circ} \text{C} \), there is a depression in freezing point.
In the light of the above statements, choose the correct answer from the options given below:

\( XY \) is the membrane/partition between two chambers \( 1 \) and \( 2 \) containing sugar solutions of concentration \( c_1 \) and \( c_2 \) (\( c_1 > c_2 \)) \( \text{mol L}^{-1} \). For the reverse osmosis to take place identify the correct condition. (Here \( p_1 \) and \( p_2 \) are pressures applied on chamber \( 1 \) and \( 2 \)).

A. Membrane/Partition: Cellophane, \( p_1 > \pi \)
B. Membrane/Partition: Porous, \( p_2 > \pi \)
C. Membrane/Partition: Parchment paper, \( p_1 > \pi \)
D. Membrane/Partition: Cellophane, \( p_2 > \pi \)
Choose the correct answer from the option given below:

Given below are two statements:
Statement (I): Molal depression constant \( K_f \) is given by \( \frac{M_1 R T_f}{\Delta S_{fus}} \), where symbols have their usual meaning.
Statement (II): \( K_f \) for benzene is less than the \( K_f \) for water.
In the light of the above statements, choose the most appropriate answer from the options given below:

Which of the following graph correctly represents the plots of \( K_H \) at \( 1 \, \text{bar} \) for gases in water versus temperature?

10.

Consider a binary solution of two volatile liquid components \( 1 \) and \( 2 \). \( x_1 \) and \( y_1 \) are the mole fractions of component \( 1 \) in liquid and vapour phase, respectively. The slope and intercept of the linear plot of \( \frac{1}{x_1} \) vs \( \frac{1}{y_1} \) are given respectively as:

11.

\( 20 \, \text{mL} \) of \( 2 \, \text{M} \) NaOH solution is added to \( 400 \, \text{mL} \) of \( 0.5 \, \text{M} \) NaOH solution. The final concentration of the solution is __________ \( \times 10^{-2} \, \text{M} \). (Nearest integer)

12.

The observed and normal molar masses of compound \( \mathrm{MX_2} \) are \( 65.6 \) and \( 164 \) respectively. The percent degree of ionisation of \( \mathrm{MX_2} \) is __________ \( \% \), (Nearest integer)

13.

When \( 1 \, \text{g} \) each of compounds \( \text{AB} \) and \( \text{AB}_2 \) are dissolved in \( 15 \, \text{g} \) of water separately, they increased the boiling point of water by \( 2.7 \, \text{K} \) and \( 1.5 \, \text{K} \) respectively. The atomic mass of \( \text{A} \) (in amu) is __________ \( \times 10^{-1} \) (Nearest integer)
(Given: Molal Boiling point eevation constant is 0.5 k kg \(mol^{-1}\))

14.

Match List-I with List-II.

List-I	List-II
(A) Bronze	(I) Cu, Ni
(B) Brass	(II) Fe, Cr, Ni, C
(C) UK silver coin	(III) Cu, Zn
(D) Stainless steel	(IV) Cu, Sn

Choose the correct answer from the options given below:

15.

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 \( 200 \, \text{mm Hg} \) and that of the solution is \( 500 \, \text{mm Hg} \). The vapour pressure of pure \( B \) and the least volatile component of the solution, respectively, are:

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JEE Main 2025 23rd Jan Evening Shift

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