Two moles of N₂O₄ is heated to form NO and O₂. As soon as NO and O₂ are formed they react to form N₂O₅. Two equilibria

${\mathrm{N}}_2{\mathrm{O}}_4\rightleftharpoons 2\mathrm{NO}+{\mathrm{O}}_2$
$2\mathrm{NO}+\frac{3}{2}{\mathrm{O}}_2\rightleftharpoons {\mathrm{N}}_2{\mathrm{O}}_5$

Are simultaneously established. At equilibrium, the degree of dissociation of N₂O₄ was found to 50%. Which of the following is correct at equilibrium?

1. $\frac{1}{2}\left[\mathrm{NO}\right]=\frac{3}{2}\left[{\mathrm{O}}_2\right]$

2. $2\left[{\mathrm{N}}_2{\mathrm{O}}_4\right]=\left[\mathrm{NO}\right]+\frac{3}{2}\left[{\mathrm{O}}_2\right]+\left[{\mathrm{N}}_2{\mathrm{O}}_5\right]$

3. $\left[\mathrm{NO}\right]+\left[{\mathrm{O}}_2\right]=\left[{\mathrm{N}}_2{\mathrm{O}}_4\right]+\left[{\mathrm{N}}_2{\mathrm{O}}_5\right]$

4. $\frac{1}{2}\left[{\mathrm{N}}_2{\mathrm{O}}_5\right]+\left[{\mathrm{O}}_2\right]=\frac{1}{2}\left[\mathrm{NO}\right]$

${\mathrm{NH}}_4\mathrm{HS}\left(\mathrm{s}\right)\rightleftharpoons {\mathrm{NH}}_3\left(\mathrm{g}\right)+{\mathrm{H}}_2\mathrm{S}\left(\mathrm{g}\right)$

The equilibrium pressure at $25°\mathrm{C}$ is 0.660 atm. What is K_p for the reaction?

1. 0.109

2. 0.218

3. 1.89

4. 2.18

PCl₅ is 50% dissociated at $20°\mathrm{C}$ and 1 atm pressure. The value of K_p for this reaction is:

K_c for the reaction 
${\mathrm{SO}}_2\left(\mathrm{g}\right)+{\mathrm{NO}}_2\left(\mathrm{g}\right)\rightleftharpoons {\mathrm{SO}}_3\left(\mathrm{g}\right)+\mathrm{NO}\left(\mathrm{g}\right)$ is 16 at a given temperature. If we take one mole each of all the four gases in one litre vessel, the equilibrium concentrations of SO₂ and SO₃ respectively in mol L^-1 are: 

1. 0.4, 0.8

2. 0.8, 0.16

3. 1.6, 0.8

4. 0.4, 1.6

The ratio of \({{K_{P}}\over{K_{C}}}\) for the reaction

$\mathrm{CO}\left(\mathrm{g}\right)+\frac{1}{2}{\mathrm{O}}_2\left(\mathrm{g}\right)\rightleftharpoons {\mathrm{CO}}_2\left(\mathrm{g}\right)$ $\mathrm{is:}$

Determine the value of equilibrium constant (K_c) for the reaction

${\mathrm{A}}_2\left(\mathrm{g}\right)+{\mathrm{B}}_2\left(\mathrm{g}\right)\rightleftharpoons 2\mathrm{AB}\left(\mathrm{g}\right)$

If 10 moles of A₂; 15 moles of B₂ and 5 moles of AB are placed in a 2 litre vessel and allowed to come to equilibrium. The final concentration of AB is 7.5 M:

1. 4.5

2. 1.5

3. 0.6

4. None of these

A 1 M solution of glucose reaches dissociation equilibrium given below.

${\mathrm{C}}_6{\mathrm{H}}_{12}{\mathrm{O}}_6\rightleftharpoons 6\mathrm{HCHO}$

If the equilibrium constant is $0.167x{10}^{-22}$, the concentration of HCHO in the equilibrium is

1. $1.60\times {10}^{-8 }\mathrm{M}$

2. $3.20\times {10}^{-6} \mathrm{M}$

3. $3.20\times {10}^{-4} \mathrm{M}$

4. $1.60\times {10}^{-4} \mathrm{M}$

For the dissociation reaction ${\mathrm{N}}_2{\mathrm{O}}_4\left(\mathrm{g}\right)\rightleftharpoons 2{\mathrm{NO}}_2\left(\mathrm{g}\right)$ the degree of dissociation $\left(\mathrm{\alpha }\right)$ in terms of K_p and total equilibrium pressure P is:

1. $\mathrm{\alpha }=\sqrt{\frac{4\mathrm{P}+{\mathrm{K}}_{\mathrm{p}}}{{\mathrm{K}}_{\mathrm{p}}}}$

2. $\mathrm{\alpha }=\sqrt{\frac{{\mathrm{K}}_{\mathrm{p}}}{4\mathrm{P}+{\mathrm{K}}_{\mathrm{p}}}}$

3. $\mathrm{\alpha }=\sqrt{\frac{{\mathrm{K}}_{\mathrm{p}}}{4\mathrm{P}}}$

4. None of these

When CO₂ dissolves in water, the following equilibrium is established.

${\mathrm{CO}}_2+2{\mathrm{H}}_2\mathrm{O}\rightleftharpoons {\mathrm{H}}_3{\mathrm{O}}^{+}+\mathrm{H}{{\mathrm{CO}}_3}^{-}$

The equilibrium constant is $3.8\times {10}^{-7}$ and at pH=6.0, the ratio $\frac{\left[{{\mathrm{HCO}}_3}^{-}\right]}{\left[{\mathrm{CO}}_2\right]}$ will be

1. $3.8\times {10}^{-13}$

2. $3.8\times {10}^{-1}$

3. 6.0

4. 13.4

At certain temperature compound AB₂(g) dissociates according to the reaction

$2{\mathrm{AB}}_2\left(\mathrm{g}\right)\rightleftharpoons 2\mathrm{AB}\left(\mathrm{g}\right)+{\mathrm{B}}_2\left(\mathrm{g}\right)$

The value of K_p in terms of degree of dissociation $\text{'}\mathrm{\alpha }\text{'}$ and total pressure 'P' is

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

2. $\mathrm{P}\frac{{\mathrm{\alpha }}^2}{3}$

3. $\mathrm{P}\frac{{\mathrm{\alpha }}^3}{3}$

4. $\mathrm{P}\frac{{\mathrm{\alpha }}^2}{2}$