BoardChemistry

Solutions

29 Board Chemistry previous year questions on Solutions — options free on every question; 3 include the answer & explanation free, the rest unlock with PYQ Pass.

Q1 FREE PREVIEW
PYQ

Arrange the following solutions in order of their increasing boiling points

\(\left(\mathrm{i}\right){10}^{-4}\mathrm{M}\mathrm{NaCl}\\ \left(\mathrm{ii}\right){10}^{-4}\mathrm{M}\mathrm{Urea}\\ \left(\mathrm{iii}\right){10}^{-3}\mathrm{M}\mathrm{NaCl}\\ \left(\mathrm{iv}\right){10}^{-2}\mathrm{M}\mathrm{NaCl}\)

a

(ii) < (i) = (iii) < (iv)

b

(iv) < (iii) < (i) < (ii)

c

(ii) < (i) < (iii) < (iv)

d

(i) < (ii) < (iii) < (iv)

✓ Correct answer: c)

(ii) < (i) < (iii) < (iv)

Explanation

\(∆{\mathrm{T}}_{\mathrm{b}}={\mathrm{iK}}_{\mathrm{b}}\mathrm{m}\)

\(∆{\mathrm{T}}_{\mathrm{b}}\alpha \mathrm{i}\times \mathrm{m}\)

For NaCl " i " = 2 and Urea " i " = 1

Higher the product of vant Hoff factor and concentration higher the boiling point.

i × C = (i) 2 × 10–4 (ii) 1 × 10–4 (iii) 2 × 10–3 (iv) 2 × 10–2

Hence the order for boiling point is: (ii) < (i) < (iii) < (iv)

Q2 FREE PREVIEW
PYQ

The density of ' \(x\) ' \(\mathrm{M}\) solution (' \(x\) ' molar) of \(\mathrm{NaOH}\) is \(1.12\mathrm{g}{\mathrm{mL}}^{-1}\), while in molality, the concentration of the solution is \(3\mathrm{m}(3\mathrm{molal})\). Then \(x\) is
(Given : Molar mass of \(\mathrm{NaOH}\) is \(40\mathrm{g}/\mathrm{mol}\) )

[JEE Main 2024, 6 Apr (Shift 1)]

a

3.8

b

3.5

c

2.8

d

3.0

✓ Correct answer: d)

3.0

Explanation
  • Density of solution = 1.12 g/mL

  • Molality (m) = 3 mol/kg

  • Molar mass of NaOH = 40 g/mol

  • Molarity (x) = ?

We are to find the molarity \(x\) (in mol/L) of NaOH.

Molality \(m=\frac{\text{mol of solute}}{\text{mass of solvent in kg}}\)

Given:

\(\text{Molality}=3\text{ }\mathrm{m}\mathrm{o}\mathrm{l}\mathrm{/}\mathrm{k}\mathrm{g}\)

Let’s assume we have 1 kg (1000 g) of water. Then the number of moles of NaOH = 3 mol.

Mass of NaOH =

\(3\text{ }\text{mol}\times 40\text{ }\mathrm{g}\mathrm{/}\mathrm{m}\mathrm{o}\mathrm{l}=120\text{ }\mathrm{g}\)

So total mass of solution =

\(1000\text{ }\mathrm{g}\text{ (water)}+120\text{ }\mathrm{g}\text{ (NaOH)}=1120\text{ }\mathrm{g}\)

Given density = 1.12 g/mL

So for 1120 g of solution:

\(\text{Volume}=\frac{1120\text{ }\mathrm{g}}{1.12\text{ }\mathrm{g}\mathrm{/}\mathrm{m}\mathrm{L}}=1000\text{ }\mathrm{m}\mathrm{L}=1\text{ }\mathrm{L}\)

Molarity \(x=\frac{\text{mol of solute}}{\text{volume of solution in L}}\)

We have 3.0 mol NaOH in 1 L of solution

x = 3.0

Q3 FREE PREVIEW
PYQ

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

a

CHCl3 + (CH3)2CO

b

(CH3)2CO + C6H5NH2

c

(CH3)2CO + CS2

d

CHCl3 + C6H6

✓ Correct answer: c)

(CH3)2CO + CS2

Explanation

Mixing polar acetone with non-polar CS₂ weakens intermolecular attractions (A–B < A–A/B–B) → positive deviation from Raoult’s law.
The other pairs (acetone–chloroform, acetone–aniline, chloroform–benzene) form specific associations/H-bonding → negative deviation.

Q4
PYQ

1.24 g of \(A{X}_{2}\) (molar mass \(124gmo{l}^{-1}\)) is dissolved in 1 kg of water to form a solution with boiling point of \(100.0156^\circ C\), while 25.4 g of \(A{Y}_{2}\) (molar mass \(250gmo{l}^{-1}\)) in 2 kg of water constitutes a solution with a boiling point of \(100.0260^\circ C\).

\({K}_{b}\left({H}_{2}O\right)=0.52Kkgmo{l}^{-1}\)

Which of the following is correct ?

[JEE Main 2025, 29 Jan (Shift 1)]

a

\(A{X}_{2}\) and \(A{Y}_{2}\) (both) are completely unionised.

b

\(A{X}_{2}\) is fully ionised while \(A{Y}_{2}\) is completely unionised.

c

\(A{X}_{2}\) and \(A{Y}_{2}\) (both) are fully ionised.

d

\(A{X}_{2}\) is completely unionised while \(A{Y}_{2}\) is fully ionised.

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Q5
PYQ

The Henry's law constant \(\left({\mathrm{K}}_{\mathrm{H}}\right)\) values of three gases (A, B, C) in water are \(145,2\times {10}^{-5}\) and \(35\mathrm{kbar}\), respectively. The solubility of these gases in water follow the order

a

\(\mathrm{A}>\mathrm{B}>\mathrm{C}\)

b

\(\mathrm{B}>\mathrm{A}>\mathrm{C}\)

c

\(\mathrm{B}>\mathrm{C}>\mathrm{A}\)

d

\(\mathrm{A}>\mathrm{C}>\mathrm{B}\)

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Q6
PYQ

200 ml of 0.2 M NaOH is mixed with 400 ml of 0.5 M NaOH solution. Molarity of mixture is (memory based jee mains shift-2 22/01/2025)

a

0.4

b

0.6

c

4.0

d

0.8

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Q7
PYQ

The Molarity (M) of an aqueous solution containing \(5.85\mathrm{g}\) of \(\mathrm{NaCl}\) in \(500\mathrm{mL}\) water is (Given : Molar Mass \(\mathrm{Na}\): \(23\) and \(Cl:35.5gmo{l}^{-1}\))

[JEE Main 2024, 4 Apr (Shift 1)]

a

0.2

b

4

c

20

d

2

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Q8
PYQ

30gm \({\mathrm{HNO}}_{3}\)is added to a solution to prepare 75 % w/ w solution having density 1.25 g / mL. Volume of solution is?

Memory Based Question 28/Jan/25 Evening shift

a

32 ml

b

48 ml

c

36 ml

d

28 ml

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Q9
PYQ

When a non-volatile solute is added to the solvent, the vapour pressure of the solvent decreases by 10 mm Hg. The mole fraction of the solute in the solution is 0.2. What would be the mole fraction of the solvent if decrease in vapour pressure is 20 mm Hg?

[JEE Main 2025, 23 Jan (Shift 2)]

a

0.2

b

0.6

c

0.4

d

0.8

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Q10
PYQ

What is the value of van't Hoff Factor for \({\mathrm{A}}_{2}\mathrm{B}\) if 30% of \({\mathrm{A}}_{2}\mathrm{B}\) is dissociated?

a

1.60

b

1.30

c

1.50

d

1.20

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Q11
PYQ

The plots of \(\frac{1}{{\mathrm{X}}_{\mathrm{A}}}and\frac{1}{{Y}_{A}}(where{\mathrm{X}}_{\mathrm{A}}\mathrm{and}{\mathrm{Y}}_{\mathrm{A}}\mathrm{are}\mathrm{the}\mathrm{mole}\mathrm{fraction}\mathrm{of}\mathrm{liquid}\mathrm{A}\mathrm{in}\mathrm{liquid}\mathrm{and}\mathrm{vapour}\mathrm{phase}\mathrm{respectively})\) is linear with slope and intercepts respectively

(Memory Based JEE Mains 23/01/2025 ,Shift -2)

a

\({{\mathrm{P}}_{\mathrm{A}}}^{0}/{{\mathrm{P}}_{\mathrm{B}}}^{0}\mathrm{and}\frac{{{\mathrm{P}}_{\mathrm{A}}}^{0}-{{\mathrm{P}}_{\mathrm{B}}}^{0}}{{{\mathrm{P}}_{\mathrm{B}}}^{0}}\)

b

\({{\mathrm{P}}_{\mathrm{A}}}^{0}/{{\mathrm{P}}_{\mathrm{B}}}^{0}\mathrm{and}\frac{{{\mathrm{P}}_{\mathrm{B}}}^{0}-{{\mathrm{P}}_{\mathrm{A}}}^{0}}{{{\mathrm{P}}_{\mathrm{B}}}^{0}}\)

c

\({{\mathrm{P}}_{\mathrm{B}}}^{0}/{{\mathrm{P}}_{\mathrm{A}}}^{0}\mathrm{and}\frac{{{\mathrm{P}}_{\mathrm{A}}}^{0}-{{\mathrm{P}}_{\mathrm{B}}}^{0}}{{{\mathrm{P}}_{\mathrm{B}}}^{0}}\)

d

\({{\mathrm{P}}_{\mathrm{B}}}^{0}/{{\mathrm{P}}_{\mathrm{A}}}^{0}\mathrm{and}\frac{{{\mathrm{P}}_{\mathrm{B}}}^{0}-{{\mathrm{P}}_{\mathrm{A}}}^{0}}{{{\mathrm{P}}_{\mathrm{B}}}^{0}}\)

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Q12
PYQ

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

a

CHCl3 + (CH3)2CO

b

(CH3)2CO + C6H5NH2

c

(CH3)2CO + CS2

d

CHCl3 + C6H6

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Q13
PYQ

58.5 g of NaCl and 180 g of glucose were separately dissolved in 1000 mL of water.Identify the correct statement regarding the elevation of boiling point of the resulting solution.

a

NaCl solution will show higher elevation of boiling point.

b

Glucose solution will show higher elevation of boiling point.

c

Both solutions will show equal elevation of boiling point.

d

None will show boiling point elevation.

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Q14
PYQ

In a 3M aqueous solution of NaCl, having density 1.25 g/ml, what will be the molality of the solution?

a

2.65

b

1.79

c

2.79

d

3

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Q15
PYQ

Compare boiling point of given solutions:

(Memory Based JEE Mains 22/01/2025 Shift-1)
\((\mathrm{i}){10}^{-4}\mathrm{M}\mathrm{NaCl}\\ (\mathrm{ii}){10}^{-3}\mathrm{M}\mathrm{NaCl}\\ (\mathrm{iii}){10}^{-2}\mathrm{M}\mathrm{NaCl}\\ (\mathrm{iv}){10}^{-4}\mathrm{M}\mathrm{Urea}\)

a

I > II >III > IV

b

III > II > I > IV

c

II > I > III > IV

d

III > I> II > IV

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Q16
PYQ

Assume a living cell with \(0.9\%(\omega /\omega )\) of glucose solution (aqueous). This cell is immersed in another solution having equal mole fraction of glucose and water.
(Consider the data upto first decimal place only)
The cell will

[JEE Main 2025, 28 Jan (Shift 2)]

a

show no change in volume since solution is \(0.9\%(\omega /\omega )\)

b

shrink since solution is \(0.45\%(\omega /\omega )\) as a result of association of glucose molecules (due to hydrogen bonding)

c

shrink since solution is 90% \((\omega /\omega )\)

d

swell up since solution is \(1\%(\omega /\omega )\)

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Q17
PYQ

In a 3M aqueous solution of NaCl, having density 1.25 g/ml, what will be the molality of the solution?

a

2.65

b

1.79

c

2.79

d

3

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Q18
PYQ

What is the freezing point depression constant of a solvent 50 g of which contain 1 g of non-volatile solute(M.W: 256 g/mol and depression in freezing point is 0.4 K.
Memory Based Question 28/Jan/25 Morning shift

a

\(0.372\mathrm{K}\mathrm{Kg}{\mathrm{mol}}^{-1}\)

b

\(4.213\mathrm{K}\mathrm{Kg}{\mathrm{mol}}^{-1}\)

c

\(1.86\mathrm{K}\mathrm{Kg}{\mathrm{mol}}^{-1}\)

d

\(5.12\mathrm{K}\mathrm{Kg}{\mathrm{mol}}^{-1}\)

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Q19
PYQ

Molality \(( m )\) of \(3 M\) aqueous solution of \(NaCl\) is

(Given : Density of solution \(=1.25 ~g mL ^{-1}\), Molar mass in \(g mol ^{-1}\) : \(\mathrm{Na}:23,\mathrm{Cl}:35.5\))

[JEE Main 2024, 6 Apr (Shift 2)]

a

\(2.90 \) m

b

\(2.79\) m

c

\(1.90\) m

d

\(3.85\) m

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Q20
PYQ

The amount of glucose required to prepare \(250\mathrm{mL}\) of \(\frac{M}{20}\) aqueous solution is:
(Molar mass of glucose : \(180\mathrm{g}{\mathrm{mol}}^{-1}\))

a

2.25 g

b

4.5 g

c

0.44 g

d

1.125 g

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Q21
PYQ

The plot of osmotic pressure \(\pi\) vs concentration \(\left(mol{L}^{-1}\right)\) for a solution gives a straight line with slope \(25.73Lbarmo{l}^{-1}\). The temperature at which the osmotic pressure measurement is done is: (Use \(R=0.083Lbarmo{l}^{-1}{K}^{-1}\) )

[NEET 2024]

a

\(12.05^\circ C\)

b

\(37^\circ C\)

c

\(310^\circ C\)

d

\(25.73^\circ C\)

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Q22
PYQ

Given below are two statements :
Statement (I) : NaCl is added to the ice at \(0^\circ C\), present in the ice cream box to prevent the melting of ice cream.
Statement (II) : On addition of NaCl to ice at \(0^\circ C\), there is a depression in freezing point.
In the light of the above statements, choose the correct answer from the options given below

a

Both Statement I and Statement II are false

b

Both Statement I and Statement II are true

c

Statement I is false but Statement II is true

d

Statement I is true but Statement II is false

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Q23
PYQ

What is the freezing point depression constant of a solvent, 50 g of which contain 1 g non volatile solute (molar mass \(256gmo{l}^{-1}\) ) and the decrease in freezing point is 0.40 K ?

[JEE Main 2025, 28 Jan (Shift 1)]

a

\(5.12Kkgmo{l}^{-1}\)

b

\(3.72Kkgmo{l}^{-1}\)

c

\(4.43Kkgmo{l}^{-1}\)

d

\(1.86Kkgmo{l}^{-1}\)

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Q24
PYQ

In which mode of expression, the concentration of a solution remains independent of temperature?

a

Molarity

b

Normality

c

Formality

d

Molality

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Q25
PYQ

Compare boiling point of given solutions:

(Memory Based JEE Mains 22/01/2025 Shift-1)
\((\mathrm{i}){10}^{-4}\mathrm{M}\mathrm{NaCl}\\ (\mathrm{ii}){10}^{-3}\mathrm{M}\mathrm{NaCl}\\ (\mathrm{iii}){10}^{-2}\mathrm{M}\mathrm{NaCl}\\ (\mathrm{iv}){10}^{-4}\mathrm{M}\mathrm{Urea}\)

a

I > II >III > IV

b

III > II > I > IV

c

II > I > III > IV

d

III > I> II > IV

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Q26
PYQ

200 ml of 0.2 M NaOH is mixed with 400 ml of 0.5 M NaOH solution. Molarity of mixture is:

a

0.4

b

0.6

c

4.0

d

0.8

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Q27
PYQ

Proceess in non spontaneous at freezing point but spontaneous at boiling point, find ΔH and ΔS ?

a

Both are positive

b

Both are negative

c

ΔS Positive and Negative ΔH

d

ΔS Negative and ΔH Positive.

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Q28
PYQ

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Helium is used to dilute oxygen in diving apparatus.
Reasons R : Helium has high solubility in \({\mathrm{O}}_{2}\).
In the light of the above statements, choose the correct answer from the options given below :

a

Both A and R are true but R is NOT the correct explanation of A.

b

A is true but R is false

c

A is false but R is true

d

Both A and R are true and R is the correct explanation of A.

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Q29
PYQ

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Helium is used to dilute oxygen in diving apparatus.
Reasons R : Helium has high solubility in \({\mathrm{O}}_{2}\).
In the light of the above statements, choose the correct answer from the options given below

[NEET 2023]

a

Both A and R are true but R is NOT the correct explanation of A.

b

A is true but R is false

c

A is false but R is true

d

Both A and R are true and R is the correct explanation of A.

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