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Equilibrium · Question 72

AIPMT 2008MCQMedium📈 Topic in 12% papers+4−1
1

The dissociation equilibrium of a gas AB2 can be represented as: 2AB2(g) 2AB(g) + B2(g) The degree of dissociation is x and is small compared to 1. The expression relating the degree of dissociation (x) with equilibrium constant Kp and total pressure P is

  1. (2Kp/P)1/2
  2. (Kp/P)
  3. (2Kp/P)
  4. (2Kp/P)1/3

Answer

(4) (2Kp/P)1/3

Solution

Take 2 mol of AB2 initially:

At equilibrium: AB2 = 2(1 - x), AB = 2x, B2 = x

Total moles = 2 + x

Kp = pAB2 pB2 pAB22 = (2x)2(x)[2(1-x)]2 P2 + x

∵ x 1 ⇒ 1 - x 1 and 2 + x 2

⇒ Kp = x3 P2

∴ x = ( 2KpP )1/3

Answer: (4)

AIPMT 2008

Keep practising — Equilibrium

2

If the concentration of OH- ions in the reaction Fe(OH)3(s) Fe3+(aq) + 3OH-(aq) is decreased by 1/4 times, then equilibrium concentration of Fe3+ will increase by

  1. 64 times
  2. 4 times
  3. 8 times
  4. 16 times
AIPMT 2008
3

Equal volumes of three acid solutions of pH 3, 4 and 5 are mixed in a vessel. What will be the H+ ion concentration in the mixture?

  1. 3.7 10-3 M
  2. 1.11 10-3 M
  3. 1.11 10-4 M
  4. 3.7 10-4 M
AIPMT 2008
4

The value of equilibrium constant of the reaction HI(g) 12H2(g) + 12I2(g) is 8.0. The equilibrium constant of the reaction H2(g) + I2(g) 2HI(g) will be

  1. 16
  2. 1/8
  3. 1/16
  4. 1/64
AIPMT 2008
5

The values of Kp for the reactions, X Y + Z ....(i) A 2B ....(ii) are in the ratio 9 : 1. If degree of dissociation of X and A be equal, then total pressure at equilibrium (i) and (ii) are in the ratio

  1. 36 : 1
  2. 1 : 1
  3. 3 : 1
  4. 1 : 9
AIPMT 2008
6

Equimolar solutions of the following were prepared in water separately. Which one of the solutions will record the highest pH?

  1. MgCl2
  2. CaCl2
  3. SrCl2
  4. BaCl2
Out of syllabusAIPMT 2008
7

Which one of the following ionic species has the greatest proton affinity to form stable compound?

  1. NH2-
  2. F-
  3. I-
  4. HS-
AIPMT 2007
8

The equilibrium constants of the following are N2 + 3H2 2NH3; K1 N2 + O2 2NO; K2 H2 + 12O2 H2O; K3 The equilibrium constant (K) of the reaction: 2NH3 + 52O2 2NO + 3H2O will be

  1. K2K33/K1
  2. K2K3/K1
  3. K23K3/K1
  4. K1K33/K2
AIPMT 2007
9

A weak acid, HA, has a Ka of 1.00 10-5. If 0.100 mol of this acid is dissolved in one litre of water, the percentage of acid dissociated at equilibrium is closest to

  1. 1.00\%
  2. 99.9\%
  3. 0.100\%
  4. 99.0\%
AIPMT 2007
10

Calculate the pOH of a solution at 25 C that contains 1 10-10 M of hydronium ions, i.e. H3O+.

  1. 4.000
  2. 9.000
  3. 1.000
  4. 7.000
AIPMT 2007
11

For the reaction : CH4(g) + 2O2(g) CO2(g) + 2H2O(l), Hr = -890.3 kJ mol-1. Which of the following statements is not true?

  1. The reaction is exothermic.
  2. At equilibrium, the concentrations of CO2(g) and H2O(l) are not equal.
  3. The equilibrium constant for the reaction is given by Kp = [CO2][CH4][O2]
  4. Addition of CH4(g) or O2(g) at equilibrium will cause a shift to the right.
AIPMT 2006

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