What is the relationship between the degree of dissociation (α) of PCl₅ and the pressure at equilibrium in the reaction: PCl₅ (g) ⇌ PCl₃ (g) + Cl₂ (g)?

1. $\alpha \propto P$                                         

2.  $\alpha \propto 1/\sqrt{P}$

3.  $\alpha \propto 1/{\mathrm{P}}^2$                                   

4.  $\alpha \propto 1/P^4$

In the equilibrium,

2SO₂(g) + O₂ (g) $\rightleftharpoons$2SO₃(g), the partial pressure of SO₂, O₂ and SO₃ are 0.662, 0.101 and 0.331 atm respectively. What should be the partial pressure of oxygen so that the equilibrium concentration of SO₂ and SO₃ are equal.

1. 0.4 atm                   

2. 1.0 atm

3. 0.8 atm                   

4. 0.25 atm

For the equilibrium, PCl₅ $\rightleftharpoons$ PCl₃ + Cl₂,

${\mathrm{K}}_{\mathrm{C}}={\mathrm{\alpha }}^2/(1-\mathrm{\alpha })\mathrm{V}$, temperature remaining constant:

1. K_c will increase with the increase in volume

2. K_c will increase with the decrease in volume

3. K_c will not change with the change in volume

4. K_c may increase or decrease with the  change in volume depending upon its numerical value.

If the pressure of N₂ and H₂ mixture in a closed apparatus is 100 atm and 20% of the mixture then reacts, the pressure at  the same temperature would be:

1. 100                   

2. 90

3. 85                     

4. 80

For the reaction, A+B \(⇌ \)3C at \(​25^{\circ}C​\), a 3 litre vessel contains 1, 2, and 4 mole of A, B and C respectively. If K_c for the reaction is 10, then the reaction will proceed in:

1. forward direction                           

2. backward direction

3. in either direction                           

4. in equilibrium

Which of the following is most soluble in water?

1. MnS (K_sp = 8x10^-37)         

2. ZnS (K_sp = 7x10^-16)

3. Bi₂S₃ (K_sp = 1x10^-70)       

4. Ag₂S (K_sp = 6x10^-51)

The compound that does not act as Lewis acid is:

1. AlCl₃                                           

2. BF₃

3. NH₃                                             

4. FeCl₃

The values of K_p1 and K_p2 for the reactions

$<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>\mathrm{X}\rightleftharpoons \mathrm{Y}<mspace\; width="1em"></mspace>+<mspace\; width="1em"></mspace>\mathrm{Z}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>........\left(\mathrm{i}\right)$
$\mathrm{and}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>\mathrm{A}\rightleftharpoons 2\mathrm{B}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>.........\left(\mathrm{ii}\right)$

are in ratio of 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. 3:1

2. 1:9

3. 36:1

4. 1:1

For a sparingly soluble salt A^pB^q, the relationship of its solubility product (L_s) with its solubility (s) is:

1. L_s =s^p+q.p^p.q^q                           

2.  L_s =s^p+q.p^q.q^p  

3. L_s =s^pq.p^p.q^q                            

4.  L_s = s^pq.(pq)^p+q

For NH₄HS(s) $\rightleftharpoons$NH₃ (g) + H₂S(g), the observed pressure for reaction mixture in equilibrium is 1.12 atm at 106$°$C. The value of K_p for the reaction is:

1. 3.136 atm²                           

2. 0.3136 atm²

3. 31.36 atm²                           

4. 6.98 atm²