Page 1
JEE Main Previous Year Questions
(2025): Solutions
Q1: If ?? ?? ?? is ???? % ionised in an aqueous solution, then the value of van't Hoff factor
(i) is ____ × ????
-?? .
JEE Main 2025 (Online) 29th January Morning Shift
Ans: 16
Solution:
Percent ionisation of ?? 2
?? = 30%
The dissociation of ?? 2
?? in aqueous solution can be represented as
?? 2
?? ? 2?? +
+ ?? 2-
1 mole of ?? 2
?? produces 2 moles of ?? +
and 1 mole of ?? 2-
ions.
The total number of moles of ions produced ( ?? ) from the dissociation is
?? = 2 + 1 = 3
The degree of dissociation given that ?? 2
?? is 30% ionised, the degree of dissociation ( ?? ) or
degree of ionisation
?? =
30
100
= 0.3
Van't Hoff factor (i) can be calculated using the formula,
?? = 1 + ( ?? - 1) ??
Substitute the values of ?? and ?? as,
?? = 1 + ( 3 - 1)× 0.3
= 1 + 2 × 0.3
= 1 + 0.6
= 1.6
= 16 × 10
-1
Q2: When 1 g each of compounds AB and ????
?? are dissolved in 15 g of water
separately, they increased the boiling point of water by 2.7 K and 1.5 K respectively.
The atomic mass of ?? (in ?????? ) is ____ × ????
-?? (Nearest integer)
(Given : Molal boiling point elevation constant is ?? . ?? ?? ???? ?????? -?? )
JEE Main 2025 (Online) 2nd April Evening Shift
Ans: 25
Solution:
For AB
?T
b
= 2.7 K
2.7 = 1 × 0.5 × m
m =
27
5
Page 2
JEE Main Previous Year Questions
(2025): Solutions
Q1: If ?? ?? ?? is ???? % ionised in an aqueous solution, then the value of van't Hoff factor
(i) is ____ × ????
-?? .
JEE Main 2025 (Online) 29th January Morning Shift
Ans: 16
Solution:
Percent ionisation of ?? 2
?? = 30%
The dissociation of ?? 2
?? in aqueous solution can be represented as
?? 2
?? ? 2?? +
+ ?? 2-
1 mole of ?? 2
?? produces 2 moles of ?? +
and 1 mole of ?? 2-
ions.
The total number of moles of ions produced ( ?? ) from the dissociation is
?? = 2 + 1 = 3
The degree of dissociation given that ?? 2
?? is 30% ionised, the degree of dissociation ( ?? ) or
degree of ionisation
?? =
30
100
= 0.3
Van't Hoff factor (i) can be calculated using the formula,
?? = 1 + ( ?? - 1) ??
Substitute the values of ?? and ?? as,
?? = 1 + ( 3 - 1)× 0.3
= 1 + 2 × 0.3
= 1 + 0.6
= 1.6
= 16 × 10
-1
Q2: When 1 g each of compounds AB and ????
?? are dissolved in 15 g of water
separately, they increased the boiling point of water by 2.7 K and 1.5 K respectively.
The atomic mass of ?? (in ?????? ) is ____ × ????
-?? (Nearest integer)
(Given : Molal boiling point elevation constant is ?? . ?? ?? ???? ?????? -?? )
JEE Main 2025 (Online) 2nd April Evening Shift
Ans: 25
Solution:
For AB
?T
b
= 2.7 K
2.7 = 1 × 0.5 × m
m =
27
5
Let molar mass of ???? = ?? .
So
1/?? 15
× 1000=
27
5
?? = 12.34
For AB
2
?T
b
= 1.5 K
1.5 = 1 × 0.5 × m
m = 3
Let molar mass of AB
2
= y
So
1/?? 15
× 1000= 3
?? =
1000
45
?? = 22.22
Now let a and b be atomic masses of A and B respectively, then
?? + ?? = 12.34
?? + 2?? = 22.22
?? = 22.22 - 12.34 = 9. (ii)
Now a = 12.34 - 9.88 = 2.46
= 24.6 × 10
-1
= 25 × 10
-1
Q3: Sea water, which can be considered as a 6 molar ( ???? ) solution of NaCl , has a
density of ?? ?? ????
-?? . The concentration of dissolved oxygen ( ?? ?? ) in sea water is 5.8
ppm . Then the concentration of dissolved oxygen ( ?? ?? ) in sea water, is ?? × ????
-?? ?? .
?? = ____ . (Nearest integer)
Given: Molar mass of ???????? is ???? . ?? ?? ?????? -??
Molar mass of ?? ?? is ???? ?? ?????? -??
JEE Main 2025 (Online) 4th April Evening Shift
Ans: 2
Solution:
Sea water is 6 Molar in NaCl , So 1000 ml of sea water contains 6 mol of NaCl .
Page 3
JEE Main Previous Year Questions
(2025): Solutions
Q1: If ?? ?? ?? is ???? % ionised in an aqueous solution, then the value of van't Hoff factor
(i) is ____ × ????
-?? .
JEE Main 2025 (Online) 29th January Morning Shift
Ans: 16
Solution:
Percent ionisation of ?? 2
?? = 30%
The dissociation of ?? 2
?? in aqueous solution can be represented as
?? 2
?? ? 2?? +
+ ?? 2-
1 mole of ?? 2
?? produces 2 moles of ?? +
and 1 mole of ?? 2-
ions.
The total number of moles of ions produced ( ?? ) from the dissociation is
?? = 2 + 1 = 3
The degree of dissociation given that ?? 2
?? is 30% ionised, the degree of dissociation ( ?? ) or
degree of ionisation
?? =
30
100
= 0.3
Van't Hoff factor (i) can be calculated using the formula,
?? = 1 + ( ?? - 1) ??
Substitute the values of ?? and ?? as,
?? = 1 + ( 3 - 1)× 0.3
= 1 + 2 × 0.3
= 1 + 0.6
= 1.6
= 16 × 10
-1
Q2: When 1 g each of compounds AB and ????
?? are dissolved in 15 g of water
separately, they increased the boiling point of water by 2.7 K and 1.5 K respectively.
The atomic mass of ?? (in ?????? ) is ____ × ????
-?? (Nearest integer)
(Given : Molal boiling point elevation constant is ?? . ?? ?? ???? ?????? -?? )
JEE Main 2025 (Online) 2nd April Evening Shift
Ans: 25
Solution:
For AB
?T
b
= 2.7 K
2.7 = 1 × 0.5 × m
m =
27
5
Let molar mass of ???? = ?? .
So
1/?? 15
× 1000=
27
5
?? = 12.34
For AB
2
?T
b
= 1.5 K
1.5 = 1 × 0.5 × m
m = 3
Let molar mass of AB
2
= y
So
1/?? 15
× 1000= 3
?? =
1000
45
?? = 22.22
Now let a and b be atomic masses of A and B respectively, then
?? + ?? = 12.34
?? + 2?? = 22.22
?? = 22.22 - 12.34 = 9. (ii)
Now a = 12.34 - 9.88 = 2.46
= 24.6 × 10
-1
= 25 × 10
-1
Q3: Sea water, which can be considered as a 6 molar ( ???? ) solution of NaCl , has a
density of ?? ?? ????
-?? . The concentration of dissolved oxygen ( ?? ?? ) in sea water is 5.8
ppm . Then the concentration of dissolved oxygen ( ?? ?? ) in sea water, is ?? × ????
-?? ?? .
?? = ____ . (Nearest integer)
Given: Molar mass of ???????? is ???? . ?? ?? ?????? -??
Molar mass of ?? ?? is ???? ?? ?????? -??
JEE Main 2025 (Online) 4th April Evening Shift
Ans: 2
Solution:
Sea water is 6 Molar in NaCl , So 1000 ml of sea water contains 6 mol of NaCl .
mass of solution = Volume × density
= 1000× 2
mass of solution = 2000 g
ppm =
mass of O
2
2000
× 10
6
mass of O
2
= 5.8 × 2 × 10
-3
= 1.16 × 10
-2
g
molality for O
2
=
1.16 × 10
-2
/32
( 2000- 6 × 58.5)
× 1000
=
1.16 × 10
32 × 1649
= 0.000219
= 2.19 × 10
-4
Correct answer ? 2
Q4: Arrange the following solutions in order of their increasing boiling points.
(i) ????
-?? ??????????
(ii) ????
-?? ?? Urea
(iii) ????
-?? ??????????
(iv) ????
-?? ??????????
JEE Main 2025 (Online) 22nd January Morning Shift
Options:
A. ( i ) < ( ii) < ( iii) < ( iv )
B. (ii) < (i) < (iii) < (iv)
C. (iv) < (iii) < (i) < (ii)
D. (ii) < (i) = (iii) < (iv)
Ans: B
Solution:
Step 1: Identify the van't Hoff factor (i) for each solute
???????? dissociates (ideally) into two ions:
NaCl? Na
+
+ Cl
-
,
so ?? ˜ 2.
Urea ( CH
4
N
2
O ) is a non-electrolyte (does not dissociate), so ?? = 1.
Step 2: Effective molar concentration of particles
The total particle concentration for each solution is approximately ( ?? × molarity).
(i) 10
-4
?? NaCl
Effective concentration = 2 × 10
-4
= 2 × 10
-4
.
(ii) 10
-4
?? Urea
Effective concentration = 1 × 10
-4
= 1 × 10
-4
.
(iii) 10
-3
?? NaCl
Page 4
JEE Main Previous Year Questions
(2025): Solutions
Q1: If ?? ?? ?? is ???? % ionised in an aqueous solution, then the value of van't Hoff factor
(i) is ____ × ????
-?? .
JEE Main 2025 (Online) 29th January Morning Shift
Ans: 16
Solution:
Percent ionisation of ?? 2
?? = 30%
The dissociation of ?? 2
?? in aqueous solution can be represented as
?? 2
?? ? 2?? +
+ ?? 2-
1 mole of ?? 2
?? produces 2 moles of ?? +
and 1 mole of ?? 2-
ions.
The total number of moles of ions produced ( ?? ) from the dissociation is
?? = 2 + 1 = 3
The degree of dissociation given that ?? 2
?? is 30% ionised, the degree of dissociation ( ?? ) or
degree of ionisation
?? =
30
100
= 0.3
Van't Hoff factor (i) can be calculated using the formula,
?? = 1 + ( ?? - 1) ??
Substitute the values of ?? and ?? as,
?? = 1 + ( 3 - 1)× 0.3
= 1 + 2 × 0.3
= 1 + 0.6
= 1.6
= 16 × 10
-1
Q2: When 1 g each of compounds AB and ????
?? are dissolved in 15 g of water
separately, they increased the boiling point of water by 2.7 K and 1.5 K respectively.
The atomic mass of ?? (in ?????? ) is ____ × ????
-?? (Nearest integer)
(Given : Molal boiling point elevation constant is ?? . ?? ?? ???? ?????? -?? )
JEE Main 2025 (Online) 2nd April Evening Shift
Ans: 25
Solution:
For AB
?T
b
= 2.7 K
2.7 = 1 × 0.5 × m
m =
27
5
Let molar mass of ???? = ?? .
So
1/?? 15
× 1000=
27
5
?? = 12.34
For AB
2
?T
b
= 1.5 K
1.5 = 1 × 0.5 × m
m = 3
Let molar mass of AB
2
= y
So
1/?? 15
× 1000= 3
?? =
1000
45
?? = 22.22
Now let a and b be atomic masses of A and B respectively, then
?? + ?? = 12.34
?? + 2?? = 22.22
?? = 22.22 - 12.34 = 9. (ii)
Now a = 12.34 - 9.88 = 2.46
= 24.6 × 10
-1
= 25 × 10
-1
Q3: Sea water, which can be considered as a 6 molar ( ???? ) solution of NaCl , has a
density of ?? ?? ????
-?? . The concentration of dissolved oxygen ( ?? ?? ) in sea water is 5.8
ppm . Then the concentration of dissolved oxygen ( ?? ?? ) in sea water, is ?? × ????
-?? ?? .
?? = ____ . (Nearest integer)
Given: Molar mass of ???????? is ???? . ?? ?? ?????? -??
Molar mass of ?? ?? is ???? ?? ?????? -??
JEE Main 2025 (Online) 4th April Evening Shift
Ans: 2
Solution:
Sea water is 6 Molar in NaCl , So 1000 ml of sea water contains 6 mol of NaCl .
mass of solution = Volume × density
= 1000× 2
mass of solution = 2000 g
ppm =
mass of O
2
2000
× 10
6
mass of O
2
= 5.8 × 2 × 10
-3
= 1.16 × 10
-2
g
molality for O
2
=
1.16 × 10
-2
/32
( 2000- 6 × 58.5)
× 1000
=
1.16 × 10
32 × 1649
= 0.000219
= 2.19 × 10
-4
Correct answer ? 2
Q4: Arrange the following solutions in order of their increasing boiling points.
(i) ????
-?? ??????????
(ii) ????
-?? ?? Urea
(iii) ????
-?? ??????????
(iv) ????
-?? ??????????
JEE Main 2025 (Online) 22nd January Morning Shift
Options:
A. ( i ) < ( ii) < ( iii) < ( iv )
B. (ii) < (i) < (iii) < (iv)
C. (iv) < (iii) < (i) < (ii)
D. (ii) < (i) = (iii) < (iv)
Ans: B
Solution:
Step 1: Identify the van't Hoff factor (i) for each solute
???????? dissociates (ideally) into two ions:
NaCl? Na
+
+ Cl
-
,
so ?? ˜ 2.
Urea ( CH
4
N
2
O ) is a non-electrolyte (does not dissociate), so ?? = 1.
Step 2: Effective molar concentration of particles
The total particle concentration for each solution is approximately ( ?? × molarity).
(i) 10
-4
?? NaCl
Effective concentration = 2 × 10
-4
= 2 × 10
-4
.
(ii) 10
-4
?? Urea
Effective concentration = 1 × 10
-4
= 1 × 10
-4
.
(iii) 10
-3
?? NaCl
Effective concentration = 2 × 10
-3
= 2 × 10
-3
.
(iv) 10
-2
?? NaCl
Effective concentration = 2 × 10
-2
= 2 × 10
-2
.
Step 3: Compare to rank the boiling points
A larger total particle concentration (and hence larger colligative effect) corresponds to a higher
boiling point. Arrange from lowest to highest:
Lowest: 10
-4
?? Urea [1 × 10
-4
]
Next: 10
-4
?? NaCl [2 × 10
-4
]
Next: 10
-3
?? NaCl [2 × 10
-3
]
Highest: 10
-2
?? NaCl [2 × 10
-2
]
Hence, in the format (ii) < (i) < (iii) < (iv).
Final Answer
(ii) < (i) < (iii) < (iv) (Option B)
Q5: Consider a binary solution of two volatile liquid components 1 and ?? . ?? ?? and ?? ??
are the mole fractions of component 1 in liquid and vapour phase, respectively. The
slope and intercept of the linear plot of
?? ?? ?? vs
?? ?? ?? are given respectively as :
JEE Main 2025 (Online) 23rd January Evening Shift
Options:
A.
P
1
0
P
2
0
,
P
1
0
-P
2
0
P
2
0
B.
P
2
0
P
1
0
,
P
2
0
-P
1
0
P
2
0
C.
P
2
0
P
1
0
,
P
1
0
-P
2
0
P
2
0
D.
P
1
0
P
2
0
,
P
2
0
-P
1
0
P
2
0
Ans: D
Solution:
For a binary solution of two volatile liquid components labeled 1 and 2 , let ?? 1
and ?? 1
represent
the mole fractions of component 1 in the liquid and vapor phases, respectively. The linear
relationship between the inverse of these mole fractions is plotted as
1
?? 1
versus
1
?? 1
.
To derive the slope and intercept of this linear plot, consider the following calculations:
Using Raoult's Law for a Liquid Solution:
For a liquid solution with volatile components 1 and 2 :
P
1
= P
T
· ?? 1
= P
1
?? · ?? 1
Therefore:
Page 5
JEE Main Previous Year Questions
(2025): Solutions
Q1: If ?? ?? ?? is ???? % ionised in an aqueous solution, then the value of van't Hoff factor
(i) is ____ × ????
-?? .
JEE Main 2025 (Online) 29th January Morning Shift
Ans: 16
Solution:
Percent ionisation of ?? 2
?? = 30%
The dissociation of ?? 2
?? in aqueous solution can be represented as
?? 2
?? ? 2?? +
+ ?? 2-
1 mole of ?? 2
?? produces 2 moles of ?? +
and 1 mole of ?? 2-
ions.
The total number of moles of ions produced ( ?? ) from the dissociation is
?? = 2 + 1 = 3
The degree of dissociation given that ?? 2
?? is 30% ionised, the degree of dissociation ( ?? ) or
degree of ionisation
?? =
30
100
= 0.3
Van't Hoff factor (i) can be calculated using the formula,
?? = 1 + ( ?? - 1) ??
Substitute the values of ?? and ?? as,
?? = 1 + ( 3 - 1)× 0.3
= 1 + 2 × 0.3
= 1 + 0.6
= 1.6
= 16 × 10
-1
Q2: When 1 g each of compounds AB and ????
?? are dissolved in 15 g of water
separately, they increased the boiling point of water by 2.7 K and 1.5 K respectively.
The atomic mass of ?? (in ?????? ) is ____ × ????
-?? (Nearest integer)
(Given : Molal boiling point elevation constant is ?? . ?? ?? ???? ?????? -?? )
JEE Main 2025 (Online) 2nd April Evening Shift
Ans: 25
Solution:
For AB
?T
b
= 2.7 K
2.7 = 1 × 0.5 × m
m =
27
5
Let molar mass of ???? = ?? .
So
1/?? 15
× 1000=
27
5
?? = 12.34
For AB
2
?T
b
= 1.5 K
1.5 = 1 × 0.5 × m
m = 3
Let molar mass of AB
2
= y
So
1/?? 15
× 1000= 3
?? =
1000
45
?? = 22.22
Now let a and b be atomic masses of A and B respectively, then
?? + ?? = 12.34
?? + 2?? = 22.22
?? = 22.22 - 12.34 = 9. (ii)
Now a = 12.34 - 9.88 = 2.46
= 24.6 × 10
-1
= 25 × 10
-1
Q3: Sea water, which can be considered as a 6 molar ( ???? ) solution of NaCl , has a
density of ?? ?? ????
-?? . The concentration of dissolved oxygen ( ?? ?? ) in sea water is 5.8
ppm . Then the concentration of dissolved oxygen ( ?? ?? ) in sea water, is ?? × ????
-?? ?? .
?? = ____ . (Nearest integer)
Given: Molar mass of ???????? is ???? . ?? ?? ?????? -??
Molar mass of ?? ?? is ???? ?? ?????? -??
JEE Main 2025 (Online) 4th April Evening Shift
Ans: 2
Solution:
Sea water is 6 Molar in NaCl , So 1000 ml of sea water contains 6 mol of NaCl .
mass of solution = Volume × density
= 1000× 2
mass of solution = 2000 g
ppm =
mass of O
2
2000
× 10
6
mass of O
2
= 5.8 × 2 × 10
-3
= 1.16 × 10
-2
g
molality for O
2
=
1.16 × 10
-2
/32
( 2000- 6 × 58.5)
× 1000
=
1.16 × 10
32 × 1649
= 0.000219
= 2.19 × 10
-4
Correct answer ? 2
Q4: Arrange the following solutions in order of their increasing boiling points.
(i) ????
-?? ??????????
(ii) ????
-?? ?? Urea
(iii) ????
-?? ??????????
(iv) ????
-?? ??????????
JEE Main 2025 (Online) 22nd January Morning Shift
Options:
A. ( i ) < ( ii) < ( iii) < ( iv )
B. (ii) < (i) < (iii) < (iv)
C. (iv) < (iii) < (i) < (ii)
D. (ii) < (i) = (iii) < (iv)
Ans: B
Solution:
Step 1: Identify the van't Hoff factor (i) for each solute
???????? dissociates (ideally) into two ions:
NaCl? Na
+
+ Cl
-
,
so ?? ˜ 2.
Urea ( CH
4
N
2
O ) is a non-electrolyte (does not dissociate), so ?? = 1.
Step 2: Effective molar concentration of particles
The total particle concentration for each solution is approximately ( ?? × molarity).
(i) 10
-4
?? NaCl
Effective concentration = 2 × 10
-4
= 2 × 10
-4
.
(ii) 10
-4
?? Urea
Effective concentration = 1 × 10
-4
= 1 × 10
-4
.
(iii) 10
-3
?? NaCl
Effective concentration = 2 × 10
-3
= 2 × 10
-3
.
(iv) 10
-2
?? NaCl
Effective concentration = 2 × 10
-2
= 2 × 10
-2
.
Step 3: Compare to rank the boiling points
A larger total particle concentration (and hence larger colligative effect) corresponds to a higher
boiling point. Arrange from lowest to highest:
Lowest: 10
-4
?? Urea [1 × 10
-4
]
Next: 10
-4
?? NaCl [2 × 10
-4
]
Next: 10
-3
?? NaCl [2 × 10
-3
]
Highest: 10
-2
?? NaCl [2 × 10
-2
]
Hence, in the format (ii) < (i) < (iii) < (iv).
Final Answer
(ii) < (i) < (iii) < (iv) (Option B)
Q5: Consider a binary solution of two volatile liquid components 1 and ?? . ?? ?? and ?? ??
are the mole fractions of component 1 in liquid and vapour phase, respectively. The
slope and intercept of the linear plot of
?? ?? ?? vs
?? ?? ?? are given respectively as :
JEE Main 2025 (Online) 23rd January Evening Shift
Options:
A.
P
1
0
P
2
0
,
P
1
0
-P
2
0
P
2
0
B.
P
2
0
P
1
0
,
P
2
0
-P
1
0
P
2
0
C.
P
2
0
P
1
0
,
P
1
0
-P
2
0
P
2
0
D.
P
1
0
P
2
0
,
P
2
0
-P
1
0
P
2
0
Ans: D
Solution:
For a binary solution of two volatile liquid components labeled 1 and 2 , let ?? 1
and ?? 1
represent
the mole fractions of component 1 in the liquid and vapor phases, respectively. The linear
relationship between the inverse of these mole fractions is plotted as
1
?? 1
versus
1
?? 1
.
To derive the slope and intercept of this linear plot, consider the following calculations:
Using Raoult's Law for a Liquid Solution:
For a liquid solution with volatile components 1 and 2 :
P
1
= P
T
· ?? 1
= P
1
?? · ?? 1
Therefore:
P
T
?? 1
=
P
1
o
?? 1
Rearranging the Equation:
By substituting and rearranging, we have:
P
2
o
+ ?? 1
( P
1
o
- P
2
a
)
?? 1
=
P
1
o
?? 1
Simplifying further:
P
2
o
?? 1
+ ( P
1
o
- P
2
o
) =
P
1
o
?? 1
Expressing
1
?? 1
:
Solving for
1
?? 1
, we obtain:
1
?? 1
= (
P
1
o
P
2
o
) (
1
?? 1
) + (
P
2
o
- P
1
o
P
2
o
)
Determining the Slope and Intercept:
The slope of the line is:
Slope =
P
1
°
P
2
°
The intercept of the line is:
Intercept =
P
2
o
-P
1
o
P
2
o
In summary, for the plot of
1
?? 1
against
1
?? 1
, the slope is
P
1
o
P
2
o
and the intercept is
P
2
o
-P
1
o
P
2
o
.
Q6: When a non-volatile solute is added to the solvent, the vapour pressure of the
solvent decreases by ???? mm of 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 of Hg ?
JEE Main 2025 (Online) 23rd January Evening Shift
Options:
A. 0.2
B. 0.4
C. 0.8
D. 0.6
Ans: D
Solution:
When a non-volatile solute is added to a solvent, it causes the vapour pressure of the solvent to
decrease. In this scenario, when the vapour pressure decreases by 10 mm of Hg , the mole
fraction of the solute in the solution is 0.2 .
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