1
JEE Main 2022 (Online) 24th June Morning Shift
Numerical
+4
-1

The osmotic pressure of blood is 7.47 bar at 300 K. To inject glucose to a patient intravenously, it has to be isotonic with blood. The concentration of glucose solution in gL$$-$$1 is _____________.

(Molar mass of glucose = 180 g mol$$-$$1, R = 0.083 L bar K$$-$$1 mol$$-$$1) (Nearest integer)

2
JEE Main 2021 (Online) 31st August Evening Shift
Numerical
+4
-1
1.22 g of an organic acid is separately dissolved in 100 g of benzene (Kb = 2.6 K kg mol$$-$$1) and 100 g of acetone (Kb = 1.7 K kg mol$$-$$1). The acid is known to dimerize in benzene but remain as a monomer in acetone. The boiling point of the solution in acetone increases by 0.17$$^\circ$$C. The increase in boiling point of solution in benzene in $$^\circ$$C is x $$\times$$ 10$$-$$2. The value of x is ______________. (Nearest integer) [Atomic mass : C = 12.0, H = 1.0, O =16.0]
3
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
40 g of glucose (Molar mass = 180) is mixed with 200 mL of water. The freezing point of solution is __________ K. (Nearest integer) [Given : Kf = 1.86 K kg mol$$-$$1; Density of water = 1.00 g cm$$-$$3; Freezing point of water = 273.15 K]
4
JEE Main 2021 (Online) 27th August Morning Shift
Numerical
+4
-1
1 kg of 0.75 molal aqueous solution of sucrose can be cooled up to $$-$$4$$^\circ$$C before freezing. The amount of ice (in g) that will be separated out is __________. (Nearest integer)

[Given : Kf(H2O) = 1.86 K kg mol$$-$$1]