JEE MainsJEE AdvanceBITSAT

JEE Mains | PYQ

An artificial cell is made by encapsulating \( 0.2 \, \text{M} \) glucose solution within a semipermeable membrane. To osmotic pressure developed when the artificial cell is placed within a \( 0.05 \, \text{M} \) solution of NaCl at \( 300 \, \text{K} \) is _________ \( \times 10^{-1} \) bar. (nearest integer) . [Given : \( R = 0.083 \, \text{L bar mol}^{-1} \, \text{K}^{-1} \) ]. Assume complete dissociation of NaCl.

A \( 300 \, \text{mL} \) bottle of soft drink has \( 0.2 \, \text{M} \) \( \mathrm{CO_2} \) dissolved in it. Assuming \( \mathrm{CO_2} \) behaves as an ideal gas, the volume of the dissolved \( \mathrm{CO_2} \) at STP is ________ \( \text{mL} \). (Nearest integer)
[Given : At STP, molar volume of an ideal gas is \( 22.7 \, \text{L mol}^{-1} \)]

If \( \mathrm{A_2B} \) is \( 30\% \) ionised in an aqueous solution, then the value of van’t Hoff factor \( (i) \) is ______ \( \times 10^{-1} \).

\(1.24\, \text{g}\) of \(\mathrm{AX}_2\) (molar mass \(124\, \text{g mol}^{-1}\)) is dissolved in \(1\, \text{kg}\) of water to form a solution with boiling point of \(100.0156^\circ \text{C}\), while \(25.4\, \text{g}\) of \(\mathrm{AY}_2\) (molar mass \(250\, \text{g mol}^{-1}\)) in \(2\, \text{kg}\) of water constitutes a solution with a boiling point of \(100.0260^\circ \text{C}\).
\(K_b(\mathrm{H_2O}) = 0.52\, \text{K kg mol}^{-1}\)
Which of the following is correct?

Thyroxine, the hormone has given below structure.

The percentage of iodine in thyroxine is ________ \( \% \). (Nearest integer)
(Given molar mass in \( \mathrm{g \, mol^{-1}} \) \( \mathrm{C}: 12; \, \mathrm{H}: 1; \, \mathrm{O}: 16; \, \mathrm{N}: 14; \, \mathrm{I}: 127 \))

Which of the following binary mixture does not show the behaviour of minimum boiling azeotropes?

\( 2.5 \, \text{g} \) of a non-volatile, non-electrolyte is dissolved in \( 100 \, \text{g} \) of water at \( 25^\circ \text{C} \). The solution showed a boiling point elevation by \( 2^\circ \text{C} \). Assuming the solute concentration is negligible with respect to the solvent concentration, the vapor pressure of the resulting aqueous solution is ______ \( \text{mm of Hg} \) (nearest integer)
[Given: Molal boiling point elevation constant of water (\( K_b \)) \( = 0.52 \, \text{K} \cdot \text{kg mol}^{-1} \), \( 1 \) atm pressure \( = 760 \) \( \text{mm of Hg} \), molar mass of water \( = 18 \, \text{g mol}^{-1} \) ]

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