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Equilibrium · Question 28

JEE Main 2026 (Online) 21st January Evening ShiftNumericalMedium📈 Topic in 13% papers+4
1

The first and second ionization constants of H2X are 2.5 10-8 and 1.0 10-13 respectively. The concentration of X2- in 0.1 M H2X solution is 10-15 M. (Nearest Integer)

Answer

100

Solution

H2X H+ + HX-; Ka1 = 2.5 10-8

HX- H+ + X2-; Ka2 = 1.0 10-13

Ka2 Ka1, [H+] comes almost entirely from the first step

[H+] [HX-]

Ka2 = [H+][X2-][HX-] ⇒ [X2-] Ka2

[X2-] = 1.0 10-13 M = 100 10-15 M

Answer: 100

JEE Main 2026 (Online) 21st January Evening Shift

Keep practising — Equilibrium

2

The equilibrium constant for decomposition of H2O(g) H2O(g) H2(g) + 12O2(g); G = 92.34 kJ mol-1 is 8.0 10-3 at 2300 K and total pressure at equilibrium is 1 bar. Under this condition, the degree of dissociation ( ) of water is 10-2 (nearest integer value). [Assume is negligible with respect to 1]

JEE Main 2025 (Online) 8th April Evening Shift
3

An aqueous solution of HCl with pH 1.0 is diluted by adding equal volume of water (ignoring dissociation of water). The pH of HCl solution would (Given 2 = 0.30)

  1. increase to 1.3
  2. reduce to 0.5
  3. increase to 2
  4. remain same
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4

One litre buffer solution was prepared by adding 0.10 mol each of NH3 and NH4Cl in deionised water. The change in pH on addition of 0.05 mol of HCl to the above solution is 10-2. (Nearest integer) Given : pKb of NH3 = 4.745 and 10 3 = 0.477

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5

The pH of a 0.01 M weak acid HX (Ka = 4 10-10) is found to be 5. Now the acid solution is diluted with excess of water so that the pH of the solution changes to 6. The new concentration of the diluted weak acid is given as x 10-4 M. The value of x is (nearest integer)

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6

x mg of Mg(OH)2 (molar mass = 58 g mol-1) is required to be dissolved in 1.0 L of water to produce a pH of 10.0 at 298 K. The value of x is mg. (Nearest integer) (Given : Mg(OH)2 is assumed to dissociate completely in H2O)

JEE Main 2025 (Online) 4th April Evening Shift
7

In the following system, PCl5(g) PCl3(g) + Cl2(g) at equilibrium, upon addition of xenon gas at constant T & p, the concentration of

  1. PCl5, PCl3 & Cl2 remain constant
  2. PCl3 will increase
  3. Cl2 will decrease
  4. PCl5 will increase
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8

Given below are two statements : In the light of the above statements, choose the correct answer from the options given below

  1. Statement I is true but Statement II is false
  2. Statement I is false but Statement II is true
  3. Both Statement I and Statement II are true
  4. Both Statement I and Statement II are false
JEE Main 2025 (Online) 3rd April Morning Shift
9

If equal volumes of AB2 and XY (both are salts) aqueous solutions are mixed, which of the following combination will give a precipitate of AY2 at 300 K ? (Given Ksp (at 300 K) for AY2 = 5.2 10-7)

  1. 2.0 10-4 M AB2, 0.8 10-3 M XY
  2. 2.0 10-2 M AB2, 2.0 10-2 M XY
  3. 1.5 10-4 M AB2, 1.5 10-3 M XY
  4. 3.6 10-3 M AB2, 5.0 10-4 M XY
JEE Main 2025 (Online) 2nd April Morning Shift
10

Consider the following equilibrium, CO(g) + 2H2(g) CH3OH(g) 0.1 mol of CO along with a catalyst is present in a 2 dm3 flask maintained at 500 K. Hydrogen is introduced into the flask until the pressure is 5 bar and 0.04 mol of CH3OH is formed. The Kp is 10-3 (nearest integer). Given : R = 0.08 dm3 bar K-1 mol-1 Assume only methanol is formed as the product and the system follows ideal gas behaviour.

JEE Main 2025 (Online) 2nd April Morning Shift
11

Consider the following chemical equilibrium of the gas phase reaction at a constant temperature : A(g) B(g) + C(g) If p is the total pressure, Kp is the pressure equilibrium constant and is the degree of dissociation, then which of the following is true at equilibrium?

  1. If Kp value is extremely high compared to p, becomes much less than unity
  2. When p increases, increases
  3. If p value is extremely high compared to Kp, 1
  4. When p increases, decreases
JEE Main 2025 (Online) 2nd April Evening Shift

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