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## Numerical

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$$1.80 \mathrm{~g}$$ of solute A was dissolved in $$62.5 \mathrm{~cm}^{3}$$ of ethanol and freezing point of the solutio...
JEE Main 2022 (Online) 29th July Evening Shift
If $$\mathrm{O}_{2}$$ gas is bubbled through water at $$303 \mathrm{~K}$$, the number of millimoles of $$\mathrm{O}_{2}... JEE Main 2022 (Online) 29th July Morning Shift A gaseous mixture of two substances A and B, under a total pressure of$$0.8$$atm is in equilibrium with an ideal liqui... JEE Main 2022 (Online) 28th July Evening Shift$$150 \mathrm{~g}$$of acetic acid was contaminated with$$10.2 \mathrm{~g}$$ascorbic acid$$\left(\mathrm{C}_{6} \math...
JEE Main 2022 (Online) 28th July Morning Shift
When a certain amount of solid A is dissolved in $$100 \mathrm{~g}$$ of water at $$25^{\circ} \mathrm{C}$$ to make a dil...
JEE Main 2022 (Online) 27th July Evening Shift
The elevation in boiling point for 1 molal solution of non-volatile solute A is $$3 \mathrm{~K}$$. The depression in fre...
JEE Main 2022 (Online) 26th July Evening Shift
The osmotic pressure of blood is 7.47 bar at 300 K. To inject glucose to a patient intravenously, it has to be isotonic ...
JEE Main 2022 (Online) 24th June Morning Shift
A company dissolves 'x' amount of CO2 at 298 K in 1 litre of water to prepare soda water. X = __________ $$\times$$ 10$$... JEE Main 2022 (Online) 24th June Evening Shift The osmotic pressure exerted by a solution prepared by dissolving 2.0 g of protein of molar mass 60 kg mol$$-$$1 in 200 ... JEE Main 2022 (Online) 26th June Evening Shift A 0.5 percent solution of potassium chloride was found to freeze at$$-$$0.24$$^\circ$$C. The percentage dissociation of... JEE Main 2022 (Online) 26th June Morning Shift 2 g of a non-volatile non-electrolyte solute is dissolved in 200 g of two different solvents A and B whose ebullioscop... JEE Main 2022 (Online) 27th June Morning Shift A solution containing 2.5$$\times$$10$$-$$3 kg of a solute dissolved in 75$$\times$$10$$-$$3 kg of water boils at 37... JEE Main 2022 (Online) 27th June Evening Shift The vapour pressures of two volatile liquids A and B at 25$$^\circ$$C are 50 Torr and 100 Torr, respectively. If the liq... JEE Main 2022 (Online) 28th June Morning Shift 2.5 g of protein containing only glycine (C2H5NO2) is dissolved in water to make 500 mL of solution. The osmotic pressur... JEE Main 2022 (Online) 28th June Evening Shift Elevation in boiling point for 1.5 molal solution of glucose in water is 4 K. The depression in freezing point for 4.5 m... JEE Main 2022 (Online) 29th June Evening Shift 1.2 mL of acetic acid is dissolved in water to make 2.0 L of solution. The depression in freezing point observed for thi... JEE Main 2022 (Online) 29th June Morning Shift 40 g of glucose (Molar mass = 180) is mixed with 200 mL of water. The freezing point of solution is __________ K. (Neare... JEE Main 2021 (Online) 27th August Evening Shift 1 kg of 0.75 molal aqueous solution of sucrose can be cooled up to$$-$$4$$^\circ$$C before freezing. The amount of ice ... JEE Main 2021 (Online) 27th August Morning Shift 83 g of ethylene glycol dissolved in 625 g of water. The freezing point of the solution is ____________ K. (Nearest inte... JEE Main 2021 (Online) 26th August Evening Shift Of the following four aqueous solutions, total number of those solutions whose freezing point is lower than that of 0.10... JEE Main 2021 (Online) 26th August Morning Shift In a solvent 50% of an acid HA dimerizes and the rest dissociates. The van't Hoff factor of the acid is __________$$\ti...
JEE Main 2021 (Online) 27th July Evening Shift
1.46 g of a biopolymer dissolved in a 100 mL water at 300 K exerted an osmotic pressure of 2.42 $$\times$$ 10$$-$$3 bar....
JEE Main 2021 (Online) 27th July Morning Shift
When 3.00 g of a substance 'X' is dissolved in 100 g of CCl4, it raises the boiling point by 0.60 K. The molar mass of t...
JEE Main 2021 (Online) 25th July Evening Shift
At 20$$^\circ$$ C, the vapour pressure of benzene is 70 torr and that of methyl benzene is 20 torr. The mole fraction of...
JEE Main 2021 (Online) 20th July Morning Shift
A solute A dimerizes in water. The boiling point of a 2 molal solution of A is 100.52$$^\circ$$C. The percentage associa...
JEE Main 2021 (Online) 18th March Evening Shift
AB2 is 10% dissociated in water to A2+ and B$$-$$. The boiling point of a 10.0 molal aqueous solution of AB2 is ________...
JEE Main 2021 (Online) 16th March Morning Shift
A 6.50 molal solution of KOH (aq.) has a density of 1.89 g cm$$-$$3. The molarity of the solution is ____________ mol dm...
JEE Main 2021 (Online) 16th March Morning Shift
224 mL of SO2(g) at 298 K and 1 atm is passed through 100 mL of 0.1 M NaOH solution. The non-volatile solute produced is...
JEE Main 2021 (Online) 26th February Morning Shift
Consider titration of NaOH solution versus 1.25 M oxalic acid solution. At the end point following burette readings were...
JEE Main 2021 (Online) 25th February Evening Shift
If a compound AB dissociates to the extent of 75% in an aqueous solution, the molality of the solution which shows a 2.5...
JEE Main 2021 (Online) 25th February Evening Shift
0.4 g mixture of NaOH, Na2CO3 and some inert impurities was first titrated with $${N \over {10}}$$ HCl using phenolphtha...
JEE Main 2021 (Online) 25th February Morning Slot
C6H6 freezes at 5.5$$^\circ$$C. The temperature at which a solution of 10g of C4H10 in 200g of C6H6 freeze is __________...
JEE Main 2021 (Online) 24th February Evening Slot
When 9.45 g of CICH2COOH is added to 500 mL of water, its freezing point drops by 0.5°C. The dissociation constant of CI...
JEE Main 2021 (Online) 24th February Morning Slot
The elevation of boiling point of 0.10 m aqueous CrCl3.xNH3 solution is two times that of 0.05 m aqueous CaCl2 solution....
JEE Main 2020 (Online) 6th September Morning Slot
A soft drink was bottled with a partial pressure of CO2 of 3 bar over the liquid at room temperature. The partial press...
JEE Main 2020 (Online) 5th September Morning Slot
A 100 mL solution was made by adding 1.43 g of Na2CO3.xH2O. The normality of the solution is 0.1 N. The value of x is __...
JEE Main 2020 (Online) 4th September Evening Slot
The osmotic pressure of a solution of NaCl is 0.10 atm and that of a glucose solution is 0.20 atm. The osmotic pressure ...
JEE Main 2020 (Online) 4th September Evening Slot
At 300 K, the vapour pressure of a solution containing 1 mole of n-hexane and 3 moles of n-heptane is 550 mm of Hg. At t...
JEE Main 2020 (Online) 4th September Morning Slot
If 250 cm3 of an aqueous solution containing 0.73 g of a protein A is isotonic with one litre of another aqueous soluti...
JEE Main 2020 (Online) 3rd September Evening Slot
How much amount of NaCl should be added to 600 g of water ($$\rho$$ = 1.00 g/mL) to decrease the freezing point of wate...
JEE Main 2020 (Online) 9th January Morning Slot

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Boiling point of a $$2 \%$$ aqueous solution of a non-volatile solute A is equal to the boiling point of $$8 \%$$ aqueou...
JEE Main 2022 (Online) 27th July Morning Shift
Two solutions A and B are prepared by dissolving 1 g of non-volatile solutes X and Y, respectively in 1 kg of water. The...
JEE Main 2022 (Online) 25th July Evening Shift
The depression in freezing point observed for a formic acid solution of concentration $$0.5 \mathrm{~mL} \mathrm{~L}^{-1... JEE Main 2022 (Online) 25th July Morning Shift TLC analysis of a mixture having 3 components (A, B, C) using silica gel as the stationary phase gave following Rf value... JEE Main 2022 (Online) 30th June Morning Shift For a solution of the gases A, B, C and D in water at 298 K, the values of Henry's law constant (KH) are 30.40, 2.34, 1.... JEE Main 2022 (Online) 30th June Morning Shift Solute A associates in water. When 0.7 g of solute A is dissolved in 42.0 g of water, it depresses the freezing point by... JEE Main 2022 (Online) 25th June Evening Shift Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)... JEE Main 2022 (Online) 27th June Morning Shift Which one of the following 0.10 M aqueous solutions will exhibit the largest freezing point depression? JEE Main 2021 (Online) 31st August Morning Shift Which one of the following 0.06 M aqueous solutions has lowest freezing point? JEE Main 2021 (Online) 22th July Evening Shift The exact volumes of 1 M NaOH solution required to neutralise 50 mL of 1 M H3PO3 solution and 100 mL of 2 M H3PO2 soluti... JEE Main 2021 (Online) 16th March Evening Shift A set of solutions is prepared using 180 g of water as a solvent and 10 g of different nonvolatile solutes A, B and C. T... JEE Main 2020 (Online) 6th September Evening Slot A solution of two components containing n1 moles of the 1st component and n2 moles of the 2nd component is prepared. M1 ... JEE Main 2020 (Online) 6th September Morning Slot The strengths of 5.6 volume hydrogen peroxide (of density 1 g/mL) in terms of mass percentage and molarity (M), respecti... JEE Main 2020 (Online) 3rd September Evening Slot Let CNaCl and CBaSO4 be the conductances (in S) measured for saturated aqueous solutions of NaCl and BaSO4, respectivel... JEE Main 2020 (Online) 3rd September Morning Slot An acidic buffer is obtained on mixing : JEE Main 2020 (Online) 3rd September Morning Slot The size of a raw mango shrinks to a much smaller size when kept in a concentrated salt solution. Which one of the follo... JEE Main 2020 (Online) 2nd September Evening Slot The strength of an aqueous NaOH solution is most accurately determined by titrating : (Note : consider that an appropria... JEE Main 2020 (Online) 8th January Morning Slot Two open beakers one containing a solvent and the other containing a mixture of that solvent with a non voltatile solute... JEE Main 2020 (Online) 7th January Evening Slot At 35oC, the vapour pressure of CS2 is 512 mm. Hg and that of acetone is 344 mm Hg. A solution of CS2 in acetone has a... JEE Main 2020 (Online) 7th January Morning Slot A solution is prepared by dissolving 0.6 g of urea (molar mass = 60 g mol–1) and 1.8 g of glucose (molar mass = 180 g mo... JEE Main 2019 (Online) 12th April Evening Slot The mole fraction of a solvent in aqueous solution of a solute is 0.8. The molality (in mol kg–1 ) of the aqueous soluti... JEE Main 2019 (Online) 12th April Morning Slot Which one of the following graphs between molar conductivity ($${\Lambda _m}$$) versus$$\sqrt C $$is correct ? JEE Main 2019 (Online) 10th April Evening Slot 1 g of a non-volatile non-electrolyte solute is dissolved in 100 g of two different solvents A and B whose ebullioscopic... JEE Main 2019 (Online) 10th April Evening Slot At room temperature, a dilute solution of urea is prepared by dissolving 0.60 of urea in 360 g of water. If the vapour p... JEE Main 2019 (Online) 10th April Morning Slot Consider the statements S1 and S2 S1 : Conductivity always increases with decrease in the concentration of electrolyte. ... JEE Main 2019 (Online) 10th April Morning Slot In an acid-base titration, 0.1 M HCl solution was added to the NaOH solution of unknown strength. Which of the following... JEE Main 2019 (Online) 9th April Evening Slot Molal depression constant for a solvent is 4.0 kg mol–1. The depression in the freezing point of the solvent for 0.03 mo... JEE Main 2019 (Online) 9th April Evening Slot Liquid 'M' and liquid 'N' form an ideal solution. The vapour pressures of pure liquids 'M' and 'N' are 450 and 700 mmHg,... JEE Main 2019 (Online) 9th April Morning Slot The osmotic pressure of a dilute solution of an ionic compound XY in water is four times that of a solution of 0.01 M Ba... JEE Main 2019 (Online) 9th April Morning Slot For the solution of the gases w, x, y and z in water at 298K, the Henrys law constants (KH) are 0.5, 2, 35 and 40 kbar, ... JEE Main 2019 (Online) 8th April Evening Slot 0.27 g of a long chain fatty acid was dissolved in 100 cm3 of hexane. 10 mL of this solution was added dropwise to the s... JEE Main 2019 (Online) 8th April Evening Slot The vapour pressures of pure liquids A and B are 400 and 600 mmHg, respectively at 298 K on mixing the two liquids, the ... JEE Main 2019 (Online) 8th April Morning Slot If Ksp of Ag2CO3 is 8$$ \times $$10–12, the molar solubility of Ag2CO3 in 0.1 M AgNO3 is - ... JEE Main 2019 (Online) 12th January Evening Slot Molecules of benzoic acid (C6H5COOH) dimerise in benzene. 'w' g of the acid dissolved in 30 g of benzene shows a depress... JEE Main 2019 (Online) 12th January Evening Slot Freezing point of a 4% aqueous solution of X is equal to freezing point of 12% aqueous solution of Y. If molecular weigh... JEE Main 2019 (Online) 12th January Morning Slot K2Hgl4 is 40% ionised in aqueous solution. The value of its van't Hoff factor (i) is: JEE Main 2019 (Online) 11th January Evening Slot The freezing point of a diluted milk sample is found to be –0.2oC, while it should have been –0.5oC for pure milk. How m... JEE Main 2019 (Online) 11th January Morning Slot Elevation in the boiling point for 1 molar solution of glucose is 2 K. The depression in the freezing point for 2 molal ... JEE Main 2019 (Online) 10th January Evening Slot The amount of sugar (C12H22O11) required to prepare 2L of its 0.1 M aqueous solution is : ... JEE Main 2019 (Online) 10th January Evening Slot Liquids A and B form an ideal solution in the entire composition range. At 350 K, the vaapor pressures of pure A and pur... JEE Main 2019 (Online) 10th January Morning Slot A mixture of 100 m mol of Ca(OH)2 and 2 g of sodium sulphate was dissolved in water and the volume was made up to 100 mL... JEE Main 2019 (Online) 10th January Morning Slot A solution containing 62 g ethylene glycol in 250 g water is cooled to$$-$$10oC. If Kf for water is 1.86 K kg mol$$-$$... JEE Main 2019 (Online) 9th January Evening Slot Which one of the following statements regarding Henry's law is not correct ? JEE Main 2019 (Online) 9th January Morning Slot The mass of a non-volatile, non-electrolyte solute (molar mass = 50 g mol-1 ) needed to be dissolved in 114 g octane to... JEE Main 2018 (Online) 16th April Morning Slot Two 5 molal solutions are prepared by dissolving a non-electrolyte non-volatile solute separately in the solvents X and ... JEE Main 2018 (Online) 15th April Evening Slot For 1 molal aqueous solution of the following compounds, which one will show the highest freezing point? JEE Main 2018 (Offline) A solution is prepared by mixing 8.5 g of CH2Cl2 and 11.95 g of CHCl3 . If vapour pressure of CH2Cl2 and CHCl3 at 298... JEE Main 2017 (Online) 9th April Morning Slot 5 g of Na2SO4 was dissolved in x g of H2O. The change in freezing point was found to be 3.82oC. If Na2SO4 is 81.5% io... JEE Main 2017 (Online) 8th April Morning Slot The freezing point of benzene decreases by 0.450C when 0.2 g of acetic acid is added to 20g of benzene. If acetic acid a... JEE Main 2017 (Offline) An aqueous solution of a salt MX2 at certain temperature has a van’t Hoff factor of 2. The degree of dissociation for th... JEE Main 2016 (Online) 10th April Morning Slot The solubility of N2 in water at 300 K and 500 torr partial pressure is 0.01 g L−1. The solubility (in g L−1) at 750 tor... JEE Main 2016 (Online) 9th April Morning Slot 18 g glucose (C6H12O6) is added to 178.2 g water. The vapor pressure of water (in torr) for this aqueous solution is :... JEE Main 2016 (Offline) The vapour pressure of acetone at 20oC is 185 torr. When 1.2 g of a non-volatile substance was dissolved in 100 g of ace... JEE Main 2015 (Offline) Consider separate solutions of 0.500 M C2H5OH(aq), 0.100 M Mg3(PO4)2(aq), 0.250 M KBr(aq) and 0.125 M Na3PO4(aq) at 25oC... JEE Main 2014 (Offline) Kf for water is 1.86K kg mol–1. If your automobile radiator holds 1.0 kg of water, how many grams of ethylene glycol (C2... AIEEE 2012 The density of a solution prepared by dissolving 120 g of urea (mol. Mass = 60 u ) in 1000g of water is 1.15 g/mL. The m... AIEEE 2012 The degree of dissociation ($$\alpha ) of a weak electrolyte, AxBy is related to van’t Hoff factor (i) by the expressi...
AIEEE 2011
Ethylene glycol is used as an antifreeze in a cold climate. Mass of ethylene glycol which should be added to 4 kg of wat...
AIEEE 2011
A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl alcohol in the s...
AIEEE 2011
On mixing, heptane and octane form an ideal solution. At 373 K, the vapour pressures of the two liquid components (hepta...
AIEEE 2010
If sodium sulphate is considered to be completely dissociated into cations and anions in aqueous solution, the change in...
AIEEE 2010
Two liquids X and Y form an ideal solution. At 300K, vapour pressure of the solution containing 1 mol of X and 3 mol of ...
AIEEE 2009
A binary liquid solution is prepared by mixing n-heptane and ethanol. Which one of the following statements is correct r...
AIEEE 2009
At 80oC, the vapour pressure of pure liquid ‘A’ is 520 mm Hg and that of pure liquid ‘B’ is 1000 mm Hg. If a mixture sol...
AIEEE 2008
The vapour pressure of water at 20oC is 17.5 mm Hg. If 18 g of glucose (C6H12O6) is added to 178.2 g of water at 20oC, t...
AIEEE 2008
A mixture of ethyl alcohol and propyl alcohol has a vapour pressure of 290 mm at 300 K. The vapour pressure of propyl al...
AIEEE 2007
A 5.25 % solution of a substance is isotonic with a 1.5% solution of urea (molar mass = 60 g mol−1) in the same solvent....
AIEEE 2007
18 g of glucose (C6H12O6) is added to 178.2 g of water. The vapour pressure of water for this aqueous solution at 100oC ...
AIEEE 2006
Among the following mixtures, dipole-dipole as the major interaction, is present in
AIEEE 2006
Equimolar solutions in the same solvent have
AIEEE 2005
Benzene and toluene form nearly ideal solutions. At 20 oC, the vapour pressure of benzene is 75 torr and that of toluene...
AIEEE 2005
For which of the following parameters the structural isomers C2H5OH and CH3OCH3 would be expected to have the same value...
AIEEE 2004
Which one of the following aqueous solutions will exhibit highest boiling point?
AIEEE 2004
Which one of the following statements is false?
AIEEE 2004
Which of the following liquid pairs shows a positive deviation from Raoult’s law?
AIEEE 2004
If liquids A and B form an ideal solution
AIEEE 2003
In a 0.2 molal aqueous solution of a weak acid HX the degree of ionization is 0.3. Taking kf for water as 1.85, the free...
AIEEE 2003
A pressure cooker reduces cooking time for food because
AIEEE 2003
Freezing point of an aqueous solution is (-0.186)oC. Elevation of boiling point of the same solution is Kb = 0.512 oC, K...
AIEEE 2002
In mixture A and B component show -ve deviation as
AIEEE 2002

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