Solutions — JEE Main PYQs

1.2 mL of acetic acid is dissolved in water to make 2.0 L of solution. The depression in freezing point observed for this strength of acid is $0.0198^{\circ }\mathrm{C}$. The percentage of dissociation of the acid is ______. (Nearest integer)
[Given: Density of acetic acid is …

A 0.5 percent solution of potassium chloride was found to freeze at $-0.24^{\circ }\mathrm{C}$. The percentage dissociation of potassium chloride is ____. (Nearest integer)
(Molal depression constant for water is 1.80 K kg ${\mathrm{mol}}^{-1}$ and molar mass of KCl is …

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R)

Assertion (A) : At $10^{\circ }\mathrm{C}$, the density of a 5 M solution of KCl [atomic masses of K and Cl are 39 $\&35.5\mathrm{g}{\mathrm{mol}}^{-1}$]. The solution is …

2 g of a non-volatile non-electrolyte solute is dissolved in 200 g of two different solvents A and B whose ebullioscopic constants are in the ratio of $1:8$. The elevation in boiling points of A and B are in the ratio $\frac{x}{y}(x:y)$. The value of $y$ is ______ (Nearest inte …

If ${\mathrm{O}}_2$ gas is bubbled through water at 303 K, the number of millimoles of ${\mathrm{O}}_2$ gas that dissolve in 1 litre of water is ______. (Nearest Integer)
(Given: Henry's Law constant for ${\mathrm{O}}_2$ at 303 K is 46.82 k bar and partial pressure of …

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 g L⁻¹ is ______ (Molar mass of glucose = 180 g mol⁻¹, R = 0.083 L bar K⁻¹ mol⁻¹) (Nearest integer)

A company dissolves 'X' amount of ${\mathrm{CO}}_2$ at 298 K in 1 litre of water to prepare soda water
$\mathrm{X}=$ _____ $\times 10^{-3}\mathrm{g}$. (nearest integer)
(Given: partial pressure of ${\mathrm{CO}}_2$ at $298\mathrm{K}=0.835$ bar.

Henry's law constant …

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 $0.2^{\circ }\mathrm{C}$. The percentage association of solute A in water, is
[Given : Molar mass of $\mathrm{A}=93\mathrm{g}{\mathrm{mol}}^{-1}$. Molal depr …

When 9.45 g of ${\mathrm{ClCH}}_2\mathrm{COOH}$ is added to 500 mL of water, its freezing point drops by $0.5^{\circ }\mathrm{C}$. The dissociation constant of ${\mathrm{ClCH}}_2\mathrm{COOH}$ is $x\times 10^{-3}$. The value of x is ____. (Rounded off to the nearest integ …

Of the following four aqueous solutions, total number of those solutions whose freezing point is lower than that of $0.10\mathrm{M}{\mathrm{C}}_2{\mathrm{H}}_5\mathrm{OH}$ is ____
(Integer answer)
(A) $0.10\mathrm{M}{\mathrm{Ba}}_3{\left({\mathrm{PO}}_4\right)}_2$
(B) …

83 g of ethylene glycol dissolved in 625 g of water. The freezing point of the solution is $\_\_\_\_$ K. (Nearest integer).
[Use: Molal Freezing point depression constant of water $=1.86\mathrm{K}\mathrm{kg}{\mathrm{mol}}^{-1}$
Freezing point of water $=273\mathrm{K}$
Atomi …

At $20^{\circ }\mathrm{C}$, the vapour pressure of benzene is 70 torr and that of methyl benzene is 20 torr. The mole fraction of benzene in the vapour phase at $20^{\circ }\mathrm{C}$ above an equimolar mixture of benzene and methyl benzene is ____ $\times 10^{-2}$. (N …

${\mathrm{C}}_6{\mathrm{H}}_6$ freezes at $5.5^{\circ }\mathrm{C}$. The temperature at which a solution of 10 g of ${\mathrm{C}}_4{\mathrm{H}}_{10}$ in 200 g of ${\mathrm{C}}_6{\mathrm{H}}_6$ freeze is $\_\_\_\_$ ${}^{\circ }\mathrm{C}$ (The molal freezing point depression cons …

The vapour pressures of A and B at $25^{\circ }\mathrm{C}$ are 90 mm Hg and 15 mm Hg respectively. If A and $B$ are mixed such that the mole fraction of $A$ in the mixture is 0.6 , then the mole fraction of $B$ in the vapour phase is $x\times 10^{-1}$. The value $x$ …

40 g of glucose (Molar mass $=180$ ) is mixed with 200 mL of water. The freezing point of solution is ____ K. (Nearest integer)
[Given : ${\mathrm{K}}_{\mathrm{f}}=1.86\mathrm{K}\mathrm{kg}{\mathrm{mol}}^{-1}$; Density of water $=1.00\mathrm{g}{\mathrm{cm}}^{-3}$; Freezing po …

1 molal aqueous solution of an electrolyte $A_2{B}_3$ is $60\%$ ionised. The boiling point of the solution at 1 atm is _____ K. (Rounded-off to the nearest integer)
[Given ${\mathrm{K}}_{\mathrm{b}}$ for …

Which one of the following 0.06 M aqueous solutions has lowest freezing point?

224 mL of ${\mathrm{SO}}_{2(\mathrm{g})}$ at 298 K and 1 atm is passed through 100 mL of 0.1 M NaOH solution. The non volatile solute produced is dissolved is 36 g of water. The lowering of vapour pressure of solution (assuming the solution is dilute) …

1 kg of 0.75 molal aqueous solution of sucrose can be cooled up to $-4^{\circ }\mathrm{C}$ before freezing. The amount of ice (in g) that will be separated out is ____ . (Nearest integer)
[Given : …

When 12.2 g of benzoic acid is dissolved in 100 g of water, the freezing point of solution was found to be $-0.93^{\circ }\mathrm{C}$ $[{\mathrm{K}}_{\mathrm{f}}({\mathrm{H}}_2\mathrm{O})=1.86\mathrm{K}\mathrm{kg}{\mathrm{mol}}^{-1}]$. The number (n) of benzoic acid molecules …

1.22 g of an organic acid is separately dissolved in 100 g of benzene (${\mathrm{K}}_{\mathrm{b}}=2.6\mathrm{K}\mathrm{kg}{\mathrm{mol}}^{-1}$) and 100 g of acetone (${\mathrm{K}}_{\mathrm{b}}=1.7\mathrm{K}\mathrm{kg}{\mathrm{mol}}^{-1}$). The acid is known to dimerize in ben …

Which one of the following 0.10 M aqueous solutions will exhibit the largest freezing point depression?

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.
The molar mass of the biopolymer is ______ $\times 10^4$ g mol${}^{-1}$.
(Round off to the Nearest integer)
[Use : R $=0.083$ L bar mol${}^{-1}$ K${}^{-1}$]

The oxygen dissolved in water exerts a partial pressure of 20 kPa in the vapour above water.
The molar solubility of oxygen in water is ____ $\times 10^{-5}\mathrm{mol}{\mathrm{dm}}^{-3}$. (Round off to the nearest integer).
[ Given : Henry's law constant …

${\mathrm{CO}}_2$ gas is bubbled through water during a soft drink manufacturing process at 298 K . If ${\mathrm{CO}}_2$ exerts a partial pressure of 0.835 bar then $\times \mathrm{m}\mathrm{mol}$ of ${\mathrm{CO}}_2$ would dissolve in 0.9 L of water. The value of $x$ …

In a solvent 50% of an acid HA dimerizes and the rest dissociates. The van't Hoff factor of the acid is $\_\_\_\_$ $\times 10^{-2}$. (Round off to the Nearest Integer).

$A{B}_2$ is $10\%$ dissociated in water to $A^{2+}$ and $B^{-}$. The boiling point of a 10.0 molal aqueous solution of ${\mathrm{AB}}_2$ is ____ ${}^{\circ }\mathrm{C}$. (Round off to the nearest Integer).
[Given : Molal elevation constant of water …

At 363 K, the vapour pressure of $A$ is 21 kPa and that of $B$ is 18 kPa. One mole of $A$ and 2 moles of $B$ are mixed. Assuming that this solution is ideal, the vapour pressure of the mixture is _____ kPa. (Round off to the nearest integer).

A solute A dimerizes in water. The boiling point of a 2 molal solution of A is $100.52^{\circ }\mathrm{C}$. The percentage association of $A$ is ____. (Round off to the nearest integer).
[Use: ${\mathrm{K}}_{\mathrm{b}}$ for water …

A 1 molal ${\mathrm{K}}_4\mathrm{Fe}(\mathrm{CN}{)}_6$ solution has a degree of dissociation of 0.4. Its boiling point is equal to that of another solution which contains 18.1 weight percent of a non electrolytic solute A. The molar mass of $A$ is ______ u. (Round off to the …

2 molal solution of a weak acid HA has a freezing point of $3.885^{\circ }\mathrm{C}$. The degree of dissociation of this acid is ____ $\times 10^{-3}$. (Round off to the nearest integer).
[ Given : Molal depression constant of water …

When 3.00 g of substance 'X' is dissolved in 100 g of CCl₄, it raises the boiling point by 0.60 K. The molar mass of the substance 'X' is ______ g mol⁻¹. (nearest integer) [Given K_b for CCl₄ is 5.0 K kg mol⁻¹]

At $35^{\circ }\mathrm{C}$, the vapour pressure of ${\mathrm{CS}}_2$ is 512 mm of Hg and that of acetone is 344 mm of Hg. A solution of ${\mathrm{CS}}_2$ in acetone has a total vapour pressure of 600 mm of Hg. The false statement among the following is

Two open beakers one containing a solvent and the other containing a mixture of that solvent with a non-volatile solute are together sealed in a container. Over time

A Cylinder containing an ideal gas (0.1 mol of $1.0{\mathrm{dm}}^3$) is in thermal equilibrium with a large volume of 0.5 molal aqueous solution of ethylene glycol at its freezing point. If the stoppers ${\mathrm{S}}_1$ and ${\mathrm{S}}_2$ (as shown in the figure) are suddenly …

How much amount of NaCl should be added to 600 g of water ($\rho =1.00$ $g/mL$) to decrease the freezing point of water to $-0.2^{\circ }\mathrm{C}$? ____.
(The freezing point depression constant for water $=2$ $\mathrm{K}$ $\mathrm{kg}$ ${\mathrm{mol}}^{-1}$)

Henry's constant (in kbar) for four gases $\alpha ,\beta ,\gamma$ and $\delta$ in water at 298 K is given below:

(density of wa …

The mole fraction of glucose $\left({\mathrm{C}}_6{\mathrm{H}}_{12}{\mathrm{O}}_6\right)$ in an aqueous binary solution is 0.1. The mass percentage of water in it, to the nearest integer, is ______.

If $250{\mathrm{cm}}^3$ of an aqueous solution containing 0.73 g of a protein A is isotonic with one litre of another aqueous solution containing 1.65 g of a protein B , at 298 K , the ratio of the molecular masses of $A$ and $B$ is ____ $\times 10^{-2}$ (to the nearest integer …

A set of solutions is prepared using 180 g of water as a solvent and 10 g of different non-volatile solutes A, B and C. The relative lowering of vapour pressure in the presence of these solutes are in the order [Given, molar mass of A=100 g mol⁻¹; B= 200 g mol⁻¹; C=10,000 g mol⁻¹ …

A soft drink was bottled with a partial pressure of ${\mathrm{CO}}_2$ of 3 bar over the liquid at room temperature. The partial pressure of ${\mathrm{CO}}_2$ over the solution approaches a value of 30 bar when 44 g of ${\mathrm{CO}}_2$ is dissolved in 1 kg of water at room …

The elevation of boiling point of 0.10 m aqueous ${\mathrm{CrCl}}_3\times {\mathrm{NH}}_3$ solution is two times that of 0.05 m aqueous ${\mathrm{CaCl}}_2$ solution. The value of x is ____
[Assume $100\%$ ionisation of the complex and ${\mathrm{CaCl}}_2$, coordinati …

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 the same temperature, if one more mole of n-heptane is added to this solution, the vapour pressure of the solution increases by 10 mm of Hg. What is the vapour …

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 of a solution formed by mixing 1 L of the sodium chloride solution with 2 L of the glucose solution is $x\times 10^{-3}$ atm. $x$ is ______ (nearest integer)

The vapour pressures of pure liquids $A$ and $B$ are 400 and 600 mm Hg, respectively at 298 K. On mixing the two liquids, the sum of their initial volumes is equal to the volume of the final mixture. The mole fraction of liquid B is 0.5 in the mixture. The vapour pressure of the …

For the solution of the gases $\mathrm{w},\mathrm{x},\mathrm{y}$ and z in water at 298 K, the Henrys law constants $\left({\mathrm{K}}_{\mathrm{H}}\right)$ are $0.5,2,35$ and 40 kbar, respectively. The correct plot for the given data is:

Liquid ' M ' and liquid ' N ' form an ideal solution. The vapour pressures of pure liquids ' M ' and ' N ' are 450 and 700 mm Hg , respectively at the same temperature. Then correct statement is:
( ${\mathrm{X}}_{\mathrm{M}}=$ mole fraction of ' M ' in solution; …

The osmotic pressure of a dilute solution of an ionic compound XY in water is four times that of a solution of $0.01\mathrm{M}{\mathrm{BaCl}}_2$ in water. Assuming complete dissociation of the given ionic compounds in water, the concentration of XY (in …

Liquids A and B form and ideal solution in the entire composition range. At 350 K, the vapour pressures of pure A and pure B are $7\times 10^3\mathrm{Pa}$ and $12\times 10^3\mathrm{Pa}$, respectively. The composition of the vapour in equilibrium with a solution containi …

${\mathrm{K}}_2{\mathrm{HgI}}_4$ is $40\%$ ionized in aqueous solution. The value of its van't Hoff factor (i) is: