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Equilibrium · Question 6

JEE Main 2026 (Online) 5th April Morning ShiftMCQMedium📈 Topic in 16% papers+4−1
1

M3A2 is a sparingly soluble salt of molar mass y g mol-1 and solubility x g L-1. The ratio of the molar concentration of the anion ( A3-) to the solubility product of the salt is

  1. 154 y4x4
  2. y5108x4
  3. 108 x5y5
  4. 1108 y4x4

Answer

(1) 154 y4x4

Solution

Molar solubility, s = xy mol L-1

M3A2(s) 3M2+(aq) + 2A3-(aq)

⇒ [ M2+] = 3s, [ A3-] = 2s

⇒ Ksp = (3s)3(2s)2 = 108s5

∴ [ A3-]Ksp = 2s108s5 = 154s4

⇒ [ A3-]Ksp = 154 y4x4

Answer: (1)

JEE Main 2026 (Online) 5th April Morning Shift

Keep practising — Equilibrium

2

Arrange the following resultant mixtures in increasing order of their pH values Choose the correct answer from the options given below :

  1. B < C < A
  2. C < A < B
  3. C < B < A
  4. A < C < B
JEE Main 2026 (Online) 5th April Morning Shift
3

The values of pressure equilibrium constant recorded at different temperatures for the following equilibrium reaction have been given below A(g) B(g) + C(g) array|c|c| 1T ( K-1) & 10 Kp \ 0.05 & 3.5 \ 0.06 & 2.5 \ 0.07 & 1.5 \ array The magnitude of H R calculated from the above data is . (Nearest integer)

JEE Main 2026 (Online) 5th April Morning Shift
4

The reaction A(g) B(g) + C(g) was initiated with the amount 'a' of A(g). At equilibrium it is found that the amount of A(g) remaining is (a − x) at a total pressure of p. The equilibrium constant Kp of the reaction can be calculated from the expression :

  1. x2a2 + x2 p
  2. x2a2 - x2 p
  3. a + x2x2 p
  4. a2 - x2x2 p
JEE Main 2026 (Online) 5th April Evening Shift
5

At T(K), the equilibrium constant of A2(g) + B2(g) C(g) is 2.7 10-5. What is the equilibrium constant for 13A2(g) + 13B2(g) 13C(g) at the same temperature?

  1. (2.7 10-5)3
  2. 6 10-2
  3. 2.7 10-5
  4. 3 10-2
JEE Main 2026 (Online) 4th April Morning Shift
6

The pH of a solution obtained by mixing 5 mL of 0.1 M NH4OH solution with 250 mL of 0.1 M NH4Cl solution is 10-2. (Nearest integer) Given: pKb(NH4OH) = 4.74 2 = 0.30 3 = 0.48 5 = 0.70

JEE Main 2026 (Online) 4th April Morning Shift
7

20 mL of a solution of acetic acid required 28.4 mL of 0.1 M NaOH for its neutralization. A solution (X) was prepared by mixing 20 mL of the above acetic acid and 14.2 mL of 0.1 M NaOH solution. What is the pH of the solution (X)? (pKa value of acetic acid is 4.75).

  1. 7.0
  2. 4.75
  3. 3.5
  4. 4.82
JEE Main 2026 (Online) 4th April Evening Shift
8

For the following reaction at 50 °C and at 2 atm pressure, 2N2O5(g) 2N2O4(g) + O2(g) N2O5 is 50% dissociated. The magnitude of standard free energy change at this temperature is x. x = J mol-1 [Nearest integer]. Given : R = 8.314 J mol-1 K-1, log 2 = 0.30, log 3 = 0.48, ln 10 = 2.303, °C + 273 = K

JEE Main 2026 (Online) 4th April Evening Shift
9

The solubility product constants of Ag2CrO4 and AgBr are 32x and 4y respectively at 298 K. The value of ( molarity of Ag2CrO4molarity of AgBr ) can be expressed as :

  1. 2 [3]xy
  2. 2 xy
  3. xy
  4. [3]x y
JEE Main 2026 (Online) 2nd April Morning Shift
10

The first and second ionization constants of a weak dibasic acid H2A are 8.1 10-8 and 1.0 10-13 respectively. 0.1 mol of H2A was dissolved in 1 L of 0.1 M HCl solution. The concentration of HA- in the resultant solution is:

  1. 0.1 M
  2. 9.53 10-6 M
  3. 8.1 10-8 M
  4. 1.0 10-13 M
JEE Main 2026 (Online) 2nd April Evening Shift
11

At 25°C, 20.0 mL of 0.2 M weak monoprotic acid HX is titrated against 0.2 M NaOH. The pH of the solution (a) at the start of the titration (when NaOH has not been added) and (b) when 10 mL of NaOH is added respectively, are : Given : Ka = 5 10-4 pKa = 3.3 1

  1. array|c|c| (a) & (b) \ 0.7 & 2.0 \ array
  2. array|c|c| (a) & (b) \ 2.0 & 3.3 \ array
  3. array|c|c| (a) & (b) \ 1.1 & 2.2 \ array
  4. array|c|c| (a) & (b) \ 3.0 & 2.2 \ array
JEE Main 2026 (Online) 2nd April Evening Shift

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