Page 1
JEE Main Previous Year Questions
(2025): Ionic Equilibrium
Q1: The molar solubility(s) of zirconium phosphate with molecular formula
( ????
?? +
)
?? ( ????
?? ?? -
)
?? is given by relation :
JEE Main 2025 (Online) 22nd January Evening Shift
Options:
A. (
K
sp
5348
)
1
6
B. (
K
sp
8435
)
1
7
C. (
?? ????
6912
)
1
7
D. (
K
sp
9612
)
1
3
Ans: C
Solution:
K
sp
= ( 3 s)
3
· ( 4 s)
4
K
sp
= 6912 s
7
s = (
KO
4
)
4
( s ) ? 3Zr
4+
( aq )+ 4PO
4
3-
( aq )
6912
)
1
7
Q2: Which of the following happens when ????
?? ???? is added gradually to the solution
containing ???? ?? ?? +
and ?? ????
?? +
ions?
Given : ?? sp
[?? ( ???? )
?? ] = ?? × ????
-????
and ?? sp
[?? ( ???? )
?? ] = ???? × ????
-????
at ?????? ?? .
JEE Main 2025 (Online) 23rd January Morning Shift
Options:
A. A( OH )
2
will precipitate before B( OH )
3
B. A( OH )
2
and B( OH )
3
will precipitate together
C. Both A( OH )
2
and B( OH )
3
do not show precipitation with NH
4
OH
D. B( OH )
3
will precipitate before A( OH )
2
Ans: D
Solution:
Condition for precipitation Q
ip
> K
sp
For [A( OH )
2
]
Page 2
JEE Main Previous Year Questions
(2025): Ionic Equilibrium
Q1: The molar solubility(s) of zirconium phosphate with molecular formula
( ????
?? +
)
?? ( ????
?? ?? -
)
?? is given by relation :
JEE Main 2025 (Online) 22nd January Evening Shift
Options:
A. (
K
sp
5348
)
1
6
B. (
K
sp
8435
)
1
7
C. (
?? ????
6912
)
1
7
D. (
K
sp
9612
)
1
3
Ans: C
Solution:
K
sp
= ( 3 s)
3
· ( 4 s)
4
K
sp
= 6912 s
7
s = (
KO
4
)
4
( s ) ? 3Zr
4+
( aq )+ 4PO
4
3-
( aq )
6912
)
1
7
Q2: Which of the following happens when ????
?? ???? is added gradually to the solution
containing ???? ?? ?? +
and ?? ????
?? +
ions?
Given : ?? sp
[?? ( ???? )
?? ] = ?? × ????
-????
and ?? sp
[?? ( ???? )
?? ] = ???? × ????
-????
at ?????? ?? .
JEE Main 2025 (Online) 23rd January Morning Shift
Options:
A. A( OH )
2
will precipitate before B( OH )
3
B. A( OH )
2
and B( OH )
3
will precipitate together
C. Both A( OH )
2
and B( OH )
3
do not show precipitation with NH
4
OH
D. B( OH )
3
will precipitate before A( OH )
2
Ans: D
Solution:
Condition for precipitation Q
ip
> K
sp
For [A( OH )
2
]
[A
2+
][OH
-
]
2
> 9 × 10
-10
[ A
+2
] = 1M
? [OH
-
] > 3 × 10
-5
M
For [B( OH )
3
]
[B
3+
][OH
-
]
3
> 27 × 10
-18
[ B
3+
] = 1M
? [OH
-
] > 3 × 10
-6
M
So, B( OH )
3
will precipitate before A( OH )
2
Q3: pH of water is 7 at ????
°
?? . If water is heated to ????
°
?? ., it's pH will :
JEE Main 2025 (Online) 23rd January Evening Shift
Options:
A. Decrease
B. Remains the same
C. Increase
D. H
+
concentration increases, OH
-
concentration decreases
Ans: A
Solution:
When water is heated, its self-ionization increases. At 25
°
C, the water ionization constant is
given by
?? ?? = [H
+
][OH
-
] = 1.0 × 10
-14
so in pure water,
[H
+
] = [OH
-
] = 1.0 × 10
-7
M,
which corresponds to a pH of 7 .
As water is heated to 80
°
C, the value of ?? ?? increases due to the endothermic nature of water's
autoionization. This means that both [H
+
]and [OH
-
]increase. However, since their
concentrations remain equal (which defines neutrality at that temperature), the pH isn't 7
anymore. Instead, the increased concentration of H
+
ions leads to a pH value lower than 7 .
Key points:
? Heating water increases ?? ?? .
? Higher ?? ?? means higher [H
+
](and equally higher [OH
-
]).
? Thus, the pH decreases (e.g., it might be around 6.5 - 6.6 at 80
°
C ) even though the
water is still neutral.
So, the correct answer is: Option A - Decrease.
Q4: ?? ????
for ???? ( ???? )
?? is ?? . ?? × ????
-????
. What is the molar solubility of this salt in water?
Page 3
JEE Main Previous Year Questions
(2025): Ionic Equilibrium
Q1: The molar solubility(s) of zirconium phosphate with molecular formula
( ????
?? +
)
?? ( ????
?? ?? -
)
?? is given by relation :
JEE Main 2025 (Online) 22nd January Evening Shift
Options:
A. (
K
sp
5348
)
1
6
B. (
K
sp
8435
)
1
7
C. (
?? ????
6912
)
1
7
D. (
K
sp
9612
)
1
3
Ans: C
Solution:
K
sp
= ( 3 s)
3
· ( 4 s)
4
K
sp
= 6912 s
7
s = (
KO
4
)
4
( s ) ? 3Zr
4+
( aq )+ 4PO
4
3-
( aq )
6912
)
1
7
Q2: Which of the following happens when ????
?? ???? is added gradually to the solution
containing ???? ?? ?? +
and ?? ????
?? +
ions?
Given : ?? sp
[?? ( ???? )
?? ] = ?? × ????
-????
and ?? sp
[?? ( ???? )
?? ] = ???? × ????
-????
at ?????? ?? .
JEE Main 2025 (Online) 23rd January Morning Shift
Options:
A. A( OH )
2
will precipitate before B( OH )
3
B. A( OH )
2
and B( OH )
3
will precipitate together
C. Both A( OH )
2
and B( OH )
3
do not show precipitation with NH
4
OH
D. B( OH )
3
will precipitate before A( OH )
2
Ans: D
Solution:
Condition for precipitation Q
ip
> K
sp
For [A( OH )
2
]
[A
2+
][OH
-
]
2
> 9 × 10
-10
[ A
+2
] = 1M
? [OH
-
] > 3 × 10
-5
M
For [B( OH )
3
]
[B
3+
][OH
-
]
3
> 27 × 10
-18
[ B
3+
] = 1M
? [OH
-
] > 3 × 10
-6
M
So, B( OH )
3
will precipitate before A( OH )
2
Q3: pH of water is 7 at ????
°
?? . If water is heated to ????
°
?? ., it's pH will :
JEE Main 2025 (Online) 23rd January Evening Shift
Options:
A. Decrease
B. Remains the same
C. Increase
D. H
+
concentration increases, OH
-
concentration decreases
Ans: A
Solution:
When water is heated, its self-ionization increases. At 25
°
C, the water ionization constant is
given by
?? ?? = [H
+
][OH
-
] = 1.0 × 10
-14
so in pure water,
[H
+
] = [OH
-
] = 1.0 × 10
-7
M,
which corresponds to a pH of 7 .
As water is heated to 80
°
C, the value of ?? ?? increases due to the endothermic nature of water's
autoionization. This means that both [H
+
]and [OH
-
]increase. However, since their
concentrations remain equal (which defines neutrality at that temperature), the pH isn't 7
anymore. Instead, the increased concentration of H
+
ions leads to a pH value lower than 7 .
Key points:
? Heating water increases ?? ?? .
? Higher ?? ?? means higher [H
+
](and equally higher [OH
-
]).
? Thus, the pH decreases (e.g., it might be around 6.5 - 6.6 at 80
°
C ) even though the
water is still neutral.
So, the correct answer is: Option A - Decrease.
Q4: ?? ????
for ???? ( ???? )
?? is ?? . ?? × ????
-????
. What is the molar solubility of this salt in water?
JEE Main 2025 (Online) 24th January Morning Shift
Options:
A. v1.8 × 10
-30
5
B.
1.8×10
-30
27
C. v
1.6×10
-30
27
4
D. v1.6 × 10
-30
2
Ans: C
Solution:
To find the molar solubility of Cr( OH )
3
in water, we start with the dissolution equilibrium:
Cr( OH )
3( s)
? Cr
( aq)
3+
?? + 3OH
( aq)
-
3??
At equilibrium, the solubility product K
sp
is given by:
K
sp
= ( s)· ( 3 s)
3
= 27 s
4
Substituting the given K
sp
value:
27 s
4
= 1.6 × 10
-30
Solving for s , we divide both sides by 27 :
s = (
1.6 × 10
-30
27
)
1/4
Thus, the molar solubility of Cr( OH )
3
is:
(
1.6
27
× 10
-30
)
1/4
Q5: A weak acid HA has degree of dissociation ?? . Which option gives the correct
expression of ( ???? - ????
?? )?
JEE Main 2025 (Online) 28th January Morning Shift
Options:
A. log (
1-?? ?? )
B. 0
C. log ( 1 + 2x)
D. log (
?? 1-?? )
Ans: D
Solution:
Page 4
JEE Main Previous Year Questions
(2025): Ionic Equilibrium
Q1: The molar solubility(s) of zirconium phosphate with molecular formula
( ????
?? +
)
?? ( ????
?? ?? -
)
?? is given by relation :
JEE Main 2025 (Online) 22nd January Evening Shift
Options:
A. (
K
sp
5348
)
1
6
B. (
K
sp
8435
)
1
7
C. (
?? ????
6912
)
1
7
D. (
K
sp
9612
)
1
3
Ans: C
Solution:
K
sp
= ( 3 s)
3
· ( 4 s)
4
K
sp
= 6912 s
7
s = (
KO
4
)
4
( s ) ? 3Zr
4+
( aq )+ 4PO
4
3-
( aq )
6912
)
1
7
Q2: Which of the following happens when ????
?? ???? is added gradually to the solution
containing ???? ?? ?? +
and ?? ????
?? +
ions?
Given : ?? sp
[?? ( ???? )
?? ] = ?? × ????
-????
and ?? sp
[?? ( ???? )
?? ] = ???? × ????
-????
at ?????? ?? .
JEE Main 2025 (Online) 23rd January Morning Shift
Options:
A. A( OH )
2
will precipitate before B( OH )
3
B. A( OH )
2
and B( OH )
3
will precipitate together
C. Both A( OH )
2
and B( OH )
3
do not show precipitation with NH
4
OH
D. B( OH )
3
will precipitate before A( OH )
2
Ans: D
Solution:
Condition for precipitation Q
ip
> K
sp
For [A( OH )
2
]
[A
2+
][OH
-
]
2
> 9 × 10
-10
[ A
+2
] = 1M
? [OH
-
] > 3 × 10
-5
M
For [B( OH )
3
]
[B
3+
][OH
-
]
3
> 27 × 10
-18
[ B
3+
] = 1M
? [OH
-
] > 3 × 10
-6
M
So, B( OH )
3
will precipitate before A( OH )
2
Q3: pH of water is 7 at ????
°
?? . If water is heated to ????
°
?? ., it's pH will :
JEE Main 2025 (Online) 23rd January Evening Shift
Options:
A. Decrease
B. Remains the same
C. Increase
D. H
+
concentration increases, OH
-
concentration decreases
Ans: A
Solution:
When water is heated, its self-ionization increases. At 25
°
C, the water ionization constant is
given by
?? ?? = [H
+
][OH
-
] = 1.0 × 10
-14
so in pure water,
[H
+
] = [OH
-
] = 1.0 × 10
-7
M,
which corresponds to a pH of 7 .
As water is heated to 80
°
C, the value of ?? ?? increases due to the endothermic nature of water's
autoionization. This means that both [H
+
]and [OH
-
]increase. However, since their
concentrations remain equal (which defines neutrality at that temperature), the pH isn't 7
anymore. Instead, the increased concentration of H
+
ions leads to a pH value lower than 7 .
Key points:
? Heating water increases ?? ?? .
? Higher ?? ?? means higher [H
+
](and equally higher [OH
-
]).
? Thus, the pH decreases (e.g., it might be around 6.5 - 6.6 at 80
°
C ) even though the
water is still neutral.
So, the correct answer is: Option A - Decrease.
Q4: ?? ????
for ???? ( ???? )
?? is ?? . ?? × ????
-????
. What is the molar solubility of this salt in water?
JEE Main 2025 (Online) 24th January Morning Shift
Options:
A. v1.8 × 10
-30
5
B.
1.8×10
-30
27
C. v
1.6×10
-30
27
4
D. v1.6 × 10
-30
2
Ans: C
Solution:
To find the molar solubility of Cr( OH )
3
in water, we start with the dissolution equilibrium:
Cr( OH )
3( s)
? Cr
( aq)
3+
?? + 3OH
( aq)
-
3??
At equilibrium, the solubility product K
sp
is given by:
K
sp
= ( s)· ( 3 s)
3
= 27 s
4
Substituting the given K
sp
value:
27 s
4
= 1.6 × 10
-30
Solving for s , we divide both sides by 27 :
s = (
1.6 × 10
-30
27
)
1/4
Thus, the molar solubility of Cr( OH )
3
is:
(
1.6
27
× 10
-30
)
1/4
Q5: A weak acid HA has degree of dissociation ?? . Which option gives the correct
expression of ( ???? - ????
?? )?
JEE Main 2025 (Online) 28th January Morning Shift
Options:
A. log (
1-?? ?? )
B. 0
C. log ( 1 + 2x)
D. log (
?? 1-?? )
Ans: D
Solution:
HA ? H
?
+ A
?
t = 0 a
t = t a( 1 - x) ax ax
K
a
= ( ax)
( x)
1 - x
; [H
+
] = ax
-log ( K
a
)= -log ( ax)- log (
x
1 - x
)
pKa= pH- log (
x
1 - x
)
pH- pKa= log (
x
1 - x
)
Q6: Arrange the following in increasing order of solubility product :
???? ( ???? )
?? , ???????? , ?????? , ??????
JEE Main 2025 (Online) 28th January Evening Shift
Options:
A. PbS< HgS< Ca ( OH )
2
< AgBr
B. HgS< AgBr < PbS< Ca ( OH )
2
C. HgS< PbS< AgBr < Ca ( OH )
2
D. Ca ( OH )
2
< AgBr < HgS< PbS
Ans: C
Solution:
Based on the Ksp values and salt analysis cation identification, we can say that order of Ksp
value is:
HgS< PbS< AgBr < Ca ( OH )
2
Ksp values
HgS? 4 × 10
-53
PbS? 8 × 10
-28
AgBr ? 5 × 10
-13
Ca ( OH )
2
? 5.5 × 10
-6
Q7: If equal volumes of ?? ?? ?? and ???? (both are salts) aqueous solutions are mixed,
which of the following combination will give a precipitate of ????
?? at 300 K ?(Given ?? sp
( at 300 K ) for ????
?? = ?? . ?? × ????
-?? )
JEE Main 2025 (Online) 2nd April Morning Shift
Options:
A. 2.0 × 10
-4
MAB
2
, 0.8 × 10
-3
MXY
B. 2.0 × 10
-2
MAB
2
, 2.0 × 10
-2
MXY
C. 1.5 × 10
-4
MAB
2
, 1.5 × 10
-3
MXY
D. 3.6 × 10
-3
MAB
2
, 5.0 × 10
-4
MXY
Ans: B
Solution:
Page 5
JEE Main Previous Year Questions
(2025): Ionic Equilibrium
Q1: The molar solubility(s) of zirconium phosphate with molecular formula
( ????
?? +
)
?? ( ????
?? ?? -
)
?? is given by relation :
JEE Main 2025 (Online) 22nd January Evening Shift
Options:
A. (
K
sp
5348
)
1
6
B. (
K
sp
8435
)
1
7
C. (
?? ????
6912
)
1
7
D. (
K
sp
9612
)
1
3
Ans: C
Solution:
K
sp
= ( 3 s)
3
· ( 4 s)
4
K
sp
= 6912 s
7
s = (
KO
4
)
4
( s ) ? 3Zr
4+
( aq )+ 4PO
4
3-
( aq )
6912
)
1
7
Q2: Which of the following happens when ????
?? ???? is added gradually to the solution
containing ???? ?? ?? +
and ?? ????
?? +
ions?
Given : ?? sp
[?? ( ???? )
?? ] = ?? × ????
-????
and ?? sp
[?? ( ???? )
?? ] = ???? × ????
-????
at ?????? ?? .
JEE Main 2025 (Online) 23rd January Morning Shift
Options:
A. A( OH )
2
will precipitate before B( OH )
3
B. A( OH )
2
and B( OH )
3
will precipitate together
C. Both A( OH )
2
and B( OH )
3
do not show precipitation with NH
4
OH
D. B( OH )
3
will precipitate before A( OH )
2
Ans: D
Solution:
Condition for precipitation Q
ip
> K
sp
For [A( OH )
2
]
[A
2+
][OH
-
]
2
> 9 × 10
-10
[ A
+2
] = 1M
? [OH
-
] > 3 × 10
-5
M
For [B( OH )
3
]
[B
3+
][OH
-
]
3
> 27 × 10
-18
[ B
3+
] = 1M
? [OH
-
] > 3 × 10
-6
M
So, B( OH )
3
will precipitate before A( OH )
2
Q3: pH of water is 7 at ????
°
?? . If water is heated to ????
°
?? ., it's pH will :
JEE Main 2025 (Online) 23rd January Evening Shift
Options:
A. Decrease
B. Remains the same
C. Increase
D. H
+
concentration increases, OH
-
concentration decreases
Ans: A
Solution:
When water is heated, its self-ionization increases. At 25
°
C, the water ionization constant is
given by
?? ?? = [H
+
][OH
-
] = 1.0 × 10
-14
so in pure water,
[H
+
] = [OH
-
] = 1.0 × 10
-7
M,
which corresponds to a pH of 7 .
As water is heated to 80
°
C, the value of ?? ?? increases due to the endothermic nature of water's
autoionization. This means that both [H
+
]and [OH
-
]increase. However, since their
concentrations remain equal (which defines neutrality at that temperature), the pH isn't 7
anymore. Instead, the increased concentration of H
+
ions leads to a pH value lower than 7 .
Key points:
? Heating water increases ?? ?? .
? Higher ?? ?? means higher [H
+
](and equally higher [OH
-
]).
? Thus, the pH decreases (e.g., it might be around 6.5 - 6.6 at 80
°
C ) even though the
water is still neutral.
So, the correct answer is: Option A - Decrease.
Q4: ?? ????
for ???? ( ???? )
?? is ?? . ?? × ????
-????
. What is the molar solubility of this salt in water?
JEE Main 2025 (Online) 24th January Morning Shift
Options:
A. v1.8 × 10
-30
5
B.
1.8×10
-30
27
C. v
1.6×10
-30
27
4
D. v1.6 × 10
-30
2
Ans: C
Solution:
To find the molar solubility of Cr( OH )
3
in water, we start with the dissolution equilibrium:
Cr( OH )
3( s)
? Cr
( aq)
3+
?? + 3OH
( aq)
-
3??
At equilibrium, the solubility product K
sp
is given by:
K
sp
= ( s)· ( 3 s)
3
= 27 s
4
Substituting the given K
sp
value:
27 s
4
= 1.6 × 10
-30
Solving for s , we divide both sides by 27 :
s = (
1.6 × 10
-30
27
)
1/4
Thus, the molar solubility of Cr( OH )
3
is:
(
1.6
27
× 10
-30
)
1/4
Q5: A weak acid HA has degree of dissociation ?? . Which option gives the correct
expression of ( ???? - ????
?? )?
JEE Main 2025 (Online) 28th January Morning Shift
Options:
A. log (
1-?? ?? )
B. 0
C. log ( 1 + 2x)
D. log (
?? 1-?? )
Ans: D
Solution:
HA ? H
?
+ A
?
t = 0 a
t = t a( 1 - x) ax ax
K
a
= ( ax)
( x)
1 - x
; [H
+
] = ax
-log ( K
a
)= -log ( ax)- log (
x
1 - x
)
pKa= pH- log (
x
1 - x
)
pH- pKa= log (
x
1 - x
)
Q6: Arrange the following in increasing order of solubility product :
???? ( ???? )
?? , ???????? , ?????? , ??????
JEE Main 2025 (Online) 28th January Evening Shift
Options:
A. PbS< HgS< Ca ( OH )
2
< AgBr
B. HgS< AgBr < PbS< Ca ( OH )
2
C. HgS< PbS< AgBr < Ca ( OH )
2
D. Ca ( OH )
2
< AgBr < HgS< PbS
Ans: C
Solution:
Based on the Ksp values and salt analysis cation identification, we can say that order of Ksp
value is:
HgS< PbS< AgBr < Ca ( OH )
2
Ksp values
HgS? 4 × 10
-53
PbS? 8 × 10
-28
AgBr ? 5 × 10
-13
Ca ( OH )
2
? 5.5 × 10
-6
Q7: If equal volumes of ?? ?? ?? and ???? (both are salts) aqueous solutions are mixed,
which of the following combination will give a precipitate of ????
?? at 300 K ?(Given ?? sp
( at 300 K ) for ????
?? = ?? . ?? × ????
-?? )
JEE Main 2025 (Online) 2nd April Morning Shift
Options:
A. 2.0 × 10
-4
MAB
2
, 0.8 × 10
-3
MXY
B. 2.0 × 10
-2
MAB
2
, 2.0 × 10
-2
MXY
C. 1.5 × 10
-4
MAB
2
, 1.5 × 10
-3
MXY
D. 3.6 × 10
-3
MAB
2
, 5.0 × 10
-4
MXY
Ans: B
Solution:
When equal volumes of solutions are mixed, the molarity of each solution halves. To determine
if a precipitate will form, calculate the ionic product Q
SP
using the formula:
Q
SP
= [A
2+
][Y
-
]
2
A precipitate of ?? ?? 2
will form if ?? ????
> ?? ?? ?? , where ?? ????
is given as 5.2 × 10
-7
.
Option 1 Calculation:
Q
SP
= ( 1.8 × 10
-3
)(
5
2
× 10
-4
)
2
= Calculated value < K
SP
Option 2 Calculation:
Q
SP
= ( 10
-4
) ( 0.4 × 10
-3
)
2
= Calculated value < K
SP
Option 3 Calculation:
Q
SP
= ( 10
-2
) ( 10
-2
)
2
= Calculated value > K
SP
Option 4 Calculation:
Q
SP
= (
1.5
2
× 10
-4
)(
1.5
2
× 10
-3
)
2
= Calculated value < K
SP
From the calculations, the solution in Option 3 will form a precipitate since the ionic product
Q
SP
is greater than the solubility product K
SP
.
Q8: 40 mL of a mixture of ????
?? ???????? and ?????? (aqueous solution) is titrated against 0.1
M NaOH solution conductometrically. Which of the following statement is correct?
JEE Main 2025 (Online) 3rd April Evening Shift
Options:
A. The concentration of CH
3
COOH in the original mixture is 0.005 M
B. The concentration of HCl in the original mixture is 0.005 M
C. CH
3
COOH is neutralised first followed by neutralisation of HCl
D. Point ' C ' indicates the complete neutralisation of HCl
Ans: B
Solution:
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