1
JEE Advanced 2023 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
Change Language
On decreasing the $p \mathrm{H}$ from 7 to 2 , the solubility of a sparingly soluble salt (MX) of a weak acid (HX) increased from $10^{-4} \mathrm{~mol} \mathrm{~L}^{-1}$ to $10^{-3} \mathrm{~mol} \mathrm{~L}^{-1}$. The $p \mathrm{~K}_{\mathrm{a}}$ of $\mathrm{HX}$ is
A
3
B
4
C
5
D
2
2
JEE Advanced 2018 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Change Language
Dilution processes of different aqueous solutions, with water, are given in LIST - I. The effects of dilution of the solutions on $$\left[ {{H^ + }} \right]$$ are given in LIST - II

(Note: Degree of dissociation (a) of weak acid and weak base is $$<<1;$$ degree of hydrolysis of salt $$<<1;$$ $$\left[ {{H^ + }} \right]$$ represents the concentration of $${H^ + }$$ ions)

LIST-I LIST-II
P. (10 mL of 0.1 M NaOH + 20 mL of
0.1 M acetic acid) diluted to 60 mL
1. the value of [H+] does not change
on dilution
Q. (20 mL of 0.1 M NaOH + 20 mL of
0.1 M acetic acid) diluted to 80 mL
2. the value of [H+] changes to half
of its initial value on dilution
R. (20 mL of 0.1 M HCL + 20 mL of
0.1 M ammonia solution) diluted to
80 mL
3. the value of [H+] changes to two
times of its initial value on dilution
S. 10 mL saturated solution of Ni(OH)2
in equilibrium with excess solid
Ni(OH)2 is diluted to 20 mL (solid
Ni(OH)2 is still present after dilution).
4. the value of [H+] changes to $${1 \over {\sqrt 2 }}$$
times of its initial value on dilution
5. the value of [H+] changes to $$\sqrt 2 $$
times of its initial value on dilution


Match each process given in LIST-I with one or more effect(s) in LIST-II. The correct option is :
A
$$P - 4;Q - 2;R - 3;S - 1$$
B
$$P - 4;Q - 3;R - 2;S - 3$$
C
$$P - 1;Q - 4;R - 5;S - 3$$
D
$$P - 1;Q - 5;R - 4;S - 1$$
3
JEE Advanced 2016 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0
Change Language
Paragraph
Thermal decomposition of gaseous X2 to gaseous X at 298 K takes place according to the following equations:
X2 (g) $$\leftrightharpoons$$ 2X (g)
The standard reaction Gibbs energy, $$\Delta _rG^o$$, of this reaction is positive. At the start of the reaction, there is one mole of X2 and no X. As the reaction proceeds, the number of moles of X formed is given by $$\beta$$. Thus, $$\beta _{equilibrium}$$ is the number of moles of X formed at equilibrium. The reaction is carried out at a constant total pressure of 2 bar. Consider the gases to behave ideally. (Given R = 0.083 L bar K-1 mol-1)
Question
The equilibrium constant Kp for this reaction at 298 K, in terms of $$\beta _{equilibrium}$$, is
A
$${{8\beta _{equilibrium}^2} \over {2 - {\beta _{equilibrium}}}}$$
B
$${{8\beta _{equilibrium}^2} \over {4 - {\beta _{equilibrium}^2}}}$$
C
$${{4\beta _{equilibrium}^2} \over {2 - {\beta _{equilibrium}}}}$$
D
$${{4\beta _{equilibrium}^2} \over {4 - {\beta _{equilibrium}^2}}}$$
4
JEE Advanced 2016 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0
Change Language
Paragraph
Thermal decomposition of gaseous X2 to gaseous X at 298 K takes place according to the following equations:
X2 (g) $$\leftrightharpoons$$ 2X (g)
The standard reaction Gibbs energy, $$\Delta _rG^o$$, of this reaction is positive. At the start of the reaction, there is one mole of X2 and no X. As the reaction proceeds, the number of moles of X formed is given by $$\beta$$. Thus, $$\beta _{equilibrium}$$ is the number of moles of X formed at equilibrium. The reaction is carried out at a constant total pressure of 2 bar. Consider the gases to behave ideally. (Given R = 0.083 L bar K-1 mol-1)
Question
The INCORRECT statement among the following for this reaction, is
A
Decrease in the total pressure will result in formation of more moles of gaseous X
B
At the start of the reaction, dissociation of gaseous X2 takes place spontaneously
C
$${{\beta _{equilibrium}}}$$ = 0.7
D
Kc < 1
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