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pH of a saturated solution of Ba(OH)2 is 12. The value of solubility product Ksp of Ba(OH)2 is               [2012]

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Explanation

(b) Given, pH of Ba(OH)2 = 12.

... pOH = 14-pH = 14-12 = 2

We know that,  pOH = -log[OH]-

                           2= -log[OH]-

                       [OH]- = antilog(-2)

                       [OH]- = 1 x 10-2 

Ba(OH)2 dissolves in water as:

 Ba(OH)2 (s Ba2+ + 2OH-

 S mol L-1           S        2S

... [OH]- = 2S = 1 x 10-2

S=[OH]-/2                             [Ba2+ =S]

Ba2+ = [OH]-/2 = (1 x 10-2)/2

Ksp = [Ba2+][OH-]2

      =[(1 x10-2)/2](1 x 10-2)2

      = 0.5 x 10-6 = 5 x 10-7

At a given temperature the Kc for the reaction,

PCl5 (g PCl3 (g) + Cl2 (g) is 2.4 x10-3. At the same temperature, the Kc for the reaction

PCl3 (g) + Cl2 (g PCl5 (g)  is :

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Explanation

(c) Kc1 = 1/Kc2 = 1/(2.4 x 10-3) = 4.2 x 102

HI was heated in a sealed tube at 440°C till the equilibrium was reached, HI was found to be 22 % decomposed. The equilibrium constant for dissociation is:

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Explanation

(c) 2HI H2 + I2;

           Kc = α24(1-α)2

where α is degree of dissociation,

   Also,         α =22/100

  ... Kc = 0.0199

28 g N2 and 6g H2 were mixed. At equilibrium 17 g NH3 was formed. the mass of N2 and H2 of equilibrium are respectively:

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Explanation

(c)          N2 + 3H2  2NH3                                                                                                                                        28/28 = 1    6/2=3          0             mole before reaction                                                                                                    1-1/2         3-3/2        17/17 =1  mole after reaction

        ... Mole of N2 = 1/2

        ... mass of N2 = 14 g

           Mole of H2 = 3/2

        ... mass of H2 = 3/2 x 2 = 3 g

Which is the strongest acid in the following?          

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Explanation

The strength of an acid depends on its ability to dissociate and release H+ ions. Among the given options, HClO4 (perchloric acid) is the strongest acid due to the high electronegativity of the central chlorine atom, which stabilizes the negative charge on the anion effectively.

pH for the solution of salt undergoing anionic hydrolysis (say CH3COONa) is given by:

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Explanation

(a) CH3COO- + H2CH3COOH + OH-

     ...                [OH-] = c.hcKHc=KH.c= Kw.cKa

      or               -log OH =  12[logKw + log c- logKa]

      or                 pOH =  12[pKw -log c - pKa]

 Now, pH + pOH = pKw

                  pH=  12[pKw + log c + pKa]

If the concentration of OH- ions in the reaction,

 Fe(OH)3(sFe3+(aq) + 3OH- (aq)

is decreased by 1/4 times, then equilibrium concentration of Fe3+ will increase by         

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Explanation

(c)    Fe(OH)3(sFe3+(aq) + 3OH- (aq)

                         K =[Fe3+][OH-]3/Fe(OH)3]            ....(i)

To maintain equilibrium constant, let the concentration of Fe3+ be increased by x times on decreasing the concentration of OH- by 1/4 times.

                        K=[xFe3+][1/4 x OH-]3/ [Fe(OH)3]      .....(ii)

  From Eqs. (i) and (ii)

                           1/64 x x=1

                                    x = 64 times

(b) HI(g) 1/2 H2(g) + 1/2 I2(g)

                        K= [I2]1/2[H2]1/2/[HI]     .              ........(i)

    H2(g) + I2(g) 2HI

                        K' = [HI]2/[H2][I2]                          .....(ii)

          From Eqs. (i) and (ii)

                  K x K'=1

                       K' =1/K2 = 1/82 =1/64

 

Which can act as acidic buffer?

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Explanation

The combination of a weak acid (CH3COOH) and its salt (CH3COONa) can act as an acidic buffer solution. When CH3COOH dissociates, it produces H+ ions, and CH3COONa provides a reserve of CH3COO- ions to neutralize any added base, maintaining a relatively constant pH.

The following equilibrium exists in aqueous solution 

CH3COOH H+ + CH3COO- . If dilute HCl is added to this solution:

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Explanation

(d) Dissociation of weak acid decreases in presence of common ion.

CH3COOH(l) + H2O(l) <——-> H3O+(aq) + CH3COO-(aq)

HCl + H2O ——-> H3O+(aq) + Cl-(aq)

The solubility product of CuS, CdS and HgS are 10-31, 10-44, 10-54 respectively. The solubility of these sulphides are in the order                                                                   

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Explanation

(d) All are binary salts, hence their solubility is equal to square root of their solubility products. So, order of solubility is CuS>CdS>HgS or greater the value of solubility product, greater will be the solubility.

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