Solutions PYQs - Last 5 Years

Considering acetic acid dissociates in water, its dissociation constant is \(6.25 \times 10^{-5}\). If \(5 \mathrm{~mL}\) of acetic acid is dissolved in 1 litre water, the solution will freeze at \(-x \times 10^{-2}{ }^{\circ} \mathrm{C}\),...

\(2.5 \mathrm{~g}\) of a non-volatile, non-electrolyte is dissolved in \(100 \mathrm{~g}\) of water at \(25^{\circ} \mathrm{C}\). The solution showed a boiling point elevation by \(2^{\circ} \mathrm{C}\). Assuming the solute concentration i...

\(2.7 \mathrm{~kg}\) of each of water and acetic acid are mixed. The freezing point of the solution will be \(-x^{\circ} \mathrm{C}\). Consider the acetic acid does not dimerise in water, nor dissociates in water. \(x=\) ________ (nearest i...

Identify the mixture that shows positive deviations from Raoult's Law

What happens to freezing point of benzene when small quantity of napthalene is added to benzene?

The solution from the following with highest depression in freezing point/lowest freezing point is

The osmotic pressure of a dilute solution is \(7 \times 10^5 \mathrm{~Pa}\) at \(273 \mathrm{~K}\). Osmotic pressure of the same solution at \(283 \mathrm{~K}\) is _________ \(\times 10^4 \mathrm{Nm}^{-2}\).

A solution of two miscible liquids showing negative deviation from Raoult's law will have :

We have three aqueous solutions of $\mathrm{NaCl}$ labelled as ' $\mathrm{A}$ ', ' $\mathrm{B}$ ' and ' $\mathrm{C}$ ' with concentration $0.1 \mathrm{M}$, $0.01 \mathrm{M}$ and $0.001 \mathrm{M}$, respectively. The value of van 't Hoff fac...

Mass of ethylene glycol (antifreeze) to be added to $18.6 \mathrm{~kg}$ of water to protect the freezing point at $-24^{\circ} \mathrm{C}$ is ________ $\mathrm{kg}$ (Molar mass in $\mathrm{g} ~\mathrm{mol}^{-1}$ for ethylene glycol $62, \m...

The vapour pressure vs. temperature curve for a solution solvent system is shown below.

The boiling point of the solvent is __________ \({ }^{\circ} \mathrm{C}\).

If the boiling points of two solvents X and Y (having same molecular weights) are in the ratio \(2: 1\) and their enthalpy of vaporizations are in the ratio \(1: 2\), then the boiling point elevation constant of \(\mathrm{X}\) is $$\underli...

Mass of Urea \(\left(\mathrm{NH}_{2} \mathrm{CONH}_{2}\right)\) required to be dissolved in \(1000 \mathrm{~g}\) of water in order to reduce the vapour pressure of water by \(25 \%\) is _________ g. (Nearest integer)
Given: Molar mass of N...

Consider the following pairs of solution which will be isotonic at the same temperature. The number of pairs of solutions is / are ___________.
A. \(1 ~\mathrm{M}\) aq. \(\mathrm{NaCl}\) and \(2 ~\mathrm{M}\) aq. urea
B. \(1 ~\mathrm{M}\) a...

At \(27^{\circ} \mathrm{C}\), a solution containing \(2.5 \mathrm{~g}\) of solute in \(250.0 \mathrm{~mL}\) of solution exerts an osmotic pressure of \(400 \mathrm{~Pa}\). The molar mass of the solute is ___________ $$\mathrm{g} \mathrm{~mo...

Evaluate the following statements for their correctness.

A. The elevation in boiling point temperature of water will be same for $0.1 \mathrm{M} \, \mathrm{NaCl}$ and $0.1 \mathrm{M}$ urea.

B. Azeotropic mixtures boil without change in th...

A solution containing \(2 \mathrm{~g}\) of a non-volatile solute in \(20 \mathrm{~g}\) of water boils at \(373.52 \mathrm{~K}\). The molecular mass of the solute is ___________ \(\mathrm{g} ~\mathrm{mol}^{-1}\). (Nearest integer)
Given, wat...

Lead storage battery contains $38 \%$ by weight solution of $\mathrm{H}_{2} \mathrm{SO}_{4}$. The van't Hoff factor is $2.67$ at this concentration. The temperature in Kelvin at which the solution in the battery will freeze is ________. (Ne...

Solid Lead nitrate is dissolved in 1 litre of water. The solution was found to boil at 100.15\(^\circ\)C. When 0.2 mol of NaCl is added to the resulting solution, it was observed that the solution froze at \(-0.8^\circ\) C. The solubility p...

Match List I with List II

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The osmotic pressure of solutions of PVC in cyclohexanone at 300 K are plotted on the graph.
The molar mass of PVC is ____________ g mol\(^{-1}\) (Nearest integer)

(Given : R = 0.083 L atm K\(^{-1}\) mol\(^{-1}\))

The number of pairs of the solutions having the same value of the osmotic pressure from the following is _________.
(Assume 100% ionization)
A. 0.500 \(\mathrm{M~C_2H_5OH~(aq)}\) and 0.25 \(\mathrm{M~KBr~(aq)}\)
B. 0.100 $$\mathrm{M~K_4[Fe(...

In the depression of freezing point experiment
A. Vapour pressure of the solution is less than that of pure solvent
B. Vapour pressure of the solution is more than that of pure solvent
C. Only solute molecules solidify at the freezing point...

The total pressure observed by mixing two liquids A and B is 350 mm Hg when their mole fractions are 0.7 and 0.3 respectively.
The total pressure becomes 410 mm Hg if the mole fractions are changed to 0.2 and 0.8 respectively for A and B. T...

25 mL of an aqueous solution of KCl was found to require 20 mL of 1 M \(\mathrm{AgNO_3}\) solution when titrated using \(\mathrm{K_2CrO_4}\) as an indicator. What is the depression in freezing point of KCl solution of the given concentratio...

\(20 \%\) of acetic acid is dissociated when its \(5 \mathrm{~g}\) is added to \(500 \mathrm{~mL}\) of water. The depression in freezing point of such water is _________ \(\times 10^{-3}{ }^{\circ} \mathrm{C}\).
Atomic mass of $$\mathrm{C},...

The vapour pressure of $30 \%(\mathrm{w} / \mathrm{v})$ aqueous solution of glucose is __________ $\mathrm{mm} ~\mathrm{Hg}$ at $25^{\circ} \mathrm{C}$.

[Given : The density of $30 \%$ (w/v), aqueous solution of glucose is $1.2 \mathrm{~g}...

Solution of \(12 \mathrm{~g}\) of non-electrolyte (A) prepared by dissolving it in \(1000 \mathrm{~mL}\) of water exerts the same osmotic pressure as that of \(0.05 ~\mathrm{M}\) glucose solution at the same temperature. The empirical formu...

Sea water contains \(29.25 \% ~\mathrm{NaCl}\) and \(19 \% ~\mathrm{MgCl}_{2}\) by weight of solution. The normal boiling point of the sea water is _____________ \({ }^{\circ} \mathrm{C}\) (Nearest integer)
Assume \(100 \%\) ionization for ...

80 mole percent of \(\mathrm{MgCl}_{2}\) is dissociated in aqueous solution. The vapour pressure of \(1.0 ~\mathrm{molal}\) aqueous solution of \(\mathrm{MgCl}_{2}\) at \(38^{\circ} \mathrm{C}\) is ____________ $$\mathrm{mm} ~\mathrm{Hg.} ~...

0.004 M K\(_2\)SO\(_4\) solution is isotonic with 0.01 M glucose solution. Percentage dissociation of K\(_2\)SO\(_4\) is ___________ (Nearest integer)

What weight of glucose must be dissolved in \(100 \mathrm{~g}\) of water to lower the vapour pressure by \(0.20 \mathrm{~mm} ~\mathrm{Hg}\) ?
(Assume dilute solution is being formed)
Given : Vapour pressure of pure water is $$54.2 \mathrm{~...

If the degree of dissociation of aqueous solution of weak monobasic acid is determined to be 0.3, then the observed freezing point will be ___________% higher than the expected/theoretical freezing point. (Nearest integer)

An aqueous solution of volume \(300 \mathrm{~cm}^{3}\) contains \(0.63 \mathrm{~g}\) of protein. The osmotic pressure of the solution at \(300 \mathrm{~K}\) is 1.29 mbar. The molar mass of the protein is ___________ $$\mathrm{g} ~\mathrm{mo...

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, 1.56 \(\times\) 10\(-\)5 and 0.513 k bar respectively. In the given graph, the lines marked as 'p' and 's' correspond resp...

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\(^\circ\)C. The percentage of dissociation of the acid is ___________. (Nearest integer)
[G...

Elevation in boiling point for 1.5 molal solution of glucose in water is 4 K. The depression in freezing point for 4.5 molal solution of glucose in water is 4 K. The ratio of molal elevation constant to molal depression constant (Kb/Kf) is ...

If \(\mathrm{O}_{2}\) gas is bubbled through water at \(303 \mathrm{~K}\), 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}_...

\(1.80 \mathrm{~g}\) of solute A was dissolved in \(62.5 \mathrm{~cm}^{3}\) of ethanol and freezing point of the solution was found to be \(155.1 \mathrm{~K}\). The molar mass of solute A is ________ g \(\mathrm{mol}^{-1}\).
[Given : Freezi...

The vapour pressures of two volatile liquids A and B at 25\(^\circ\)C are 50 Torr and 100 Torr, respectively. If the liquid mixture contains 0.3 mole fraction of A, then the mole fraction of liquid B in the vapour phase is $${x \over {17}}$...

2.5 g of protein containing only glycine (C2H5NO2) is dissolved in water to make 500 mL of solution. The osmotic pressure of this solution at 300 K is found to be 5.03 \(\times\) 10\(-\)3 bar. The total number of glycine units present in th...

\(150 \mathrm{~g}\) of acetic acid was contaminated with \(10.2 \mathrm{~g}\) ascorbic acid \(\left(\mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}\right)\) to lower down its freezing point by $$\left(x \times 10^{-1}\right)^{\circ} \mathrm{C}...

A gaseous mixture of two substances A and B, under a total pressure of \(0.8\) atm is in equilibrium with an ideal liquid solution. The mole fraction of substance A is \(0.5\) in the vapour phase and \(0.2\) in the liquid phase. The vapour ...

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 \({x \over y}\) (x :...

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : At 10\(^\circ\)C, the density of a 5 M solution of KCl [atomic masses of K & Cl are 39 & 35.5 g mol\(-\)1 respectivel...

A solution containing 2.5 \(\times\) 10\(-\)3 kg of a solute dissolved in 75 \(\times\) 10\(-\)3 kg of water boils at 373.535 K. The molar mass of the solute is ____________ g mol\(-\)1. [nearest integer] (Given : Kb(H2O) = 0.52 K kg mol$$-...

Boiling point of a \(2 \%\) aqueous solution of a non-volatile solute A is equal to the boiling point of \(8 \%\) aqueous solution of a non-volatile solute B. The relation between molecular weights of A and B is

When a certain amount of solid A is dissolved in \(100 \mathrm{~g}\) of water at \(25^{\circ} \mathrm{C}\) to make a dilute solution, the vapour pressure of the solution is reduced to one-half of that of pure water. The vapour pressure of p...

A 0.5 percent solution of potassium chloride was found to freeze at \(-\)0.24\(^\circ\)C. The percentage dissociation of potassium chloride is ______________. (Nearest integer)
(Molal depression constant for water is 1.80 K kg mol\(-\)1 and...

The osmotic pressure exerted by a solution prepared by dissolving 2.0 g of protein of molar mass 60 kg mol\(-\)1 in 200 mL of water at 27\(^\circ\)C is ______________ Pa. [integer value]
(use R = 0.083 L bar mol\(-\)1 K\(-\)1)