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

When NaNO3​ is heated in a closed vessel, O2​ is liberated and NaNO2​ is left behind. At equilibrium:

1. Addition of NaNO2​ favours reverse reaction

2. Addition of NaNO3​ favours forward reaction

3. Increasing temperature favours forward reaction.

4. None of these

An element X being with oxygen and CO present in air as

$\mathrm{X}\left(\mathrm{g}\right)+{\mathrm{O}}_2\left(\mathrm{g}\right)\rightleftharpoons {\mathrm{XO}}_2\left(\mathrm{g}\right); {\mathrm{K}}_{{\mathrm{p}}_1}=27$
$\mathrm{X}\left(\mathrm{g}\right)+\mathrm{CO}\left(\mathrm{g}\right)\rightleftharpoons \mathrm{XCO}\left(\mathrm{g}\right); {\mathrm{K}}_{{\mathrm{p}}_2}={10}^4$

When X at 1 atm is treated with air, 25% of it is bound to CO(g). The partial pressure of CO(g) in air at equilibrium, if partial pressure of O₂(g) in air at equilibrium is 0.2 atm, would be

1. $1.9\times {10}^4 \mathrm{atm}$

2. $1.9\times {10}^{-4} \mathrm{atm}$

3. $2.08\times {10}^4 \mathrm{atm}$

4. $2.08\times {10}^{-4} \mathrm{atm}$

For the reaction (i) and (ii)

$\mathrm{A}\left(\mathrm{g}\right)\rightleftharpoons \mathrm{B}\left(\mathrm{g}\right)+\mathrm{C}\left(\mathrm{g}\right) ...........\left(\mathrm{i}\right)$
$\mathrm{X}\left(\mathrm{g}\right)\rightleftharpoons 2\mathrm{Y}\left(\mathrm{g}\right) .............\left(\mathrm{ii}\right)$

Given, ${\mathrm{K}}_{{\mathrm{p}}_1}:{\mathrm{K}}_{{\mathrm{p}}_2}=9:1.$ If degree of dissociation of A(g) and X(g) are same then the ratio of total pressure in equilibrium (i) and (ii) will be

1. 36:1

2. 0.5:1

3. 1:1

4. 3:1

For the reaction ${\mathrm{N}}_2\left(\mathrm{g}\right)+3{\mathrm{H}}_2\left(\mathrm{g}\right)\rightleftharpoons 2{\mathrm{NH}}_3\left(\mathrm{g}\right) \mathrm{at} 500°\mathrm{C},$ the value of K_p is $1.44\times {10}^{-5}$ when the partial pressure are measured in atmosphere. The value of K_c with concentration in mol L^-1 is

1. $\frac{1.44\times {10}^{-5}}{{(8.314\times 773)}^{-2}}$

2. $\frac{1.44\times {10}^{-5}}{{(0.082\times 500)}^{-2}}$

3. $\frac{1.44\times {10}^{-5}}{{(0.081\times 773)}^{-2}}$

4. $\frac{1.44\times {10}^{-5}}{{(0.082\times 773)}^{-2}}$

The degree of dissociation of PCl₅ at one atmosphere is 0.3. The pressure at which PCl₅ is dissociated to 50% is

1. 0.273 atm

2. 0.3 atm

3. 1.34 atm

4. 2.73 atm

At 550 K, the K_c for the following reaction is ${10}^4 {\mathrm{mol}}^{-1} \mathrm{L}.$

$\mathrm{X}\left(\mathrm{g}\right)+\mathrm{Y}\left(\mathrm{g}\right)\rightleftharpoons \mathrm{Z}\left(\mathrm{g}\right)$

At equilibrium, it was observed that

$\left[\mathrm{X}\right]=\frac{1}{2}\left[\mathrm{Y}\right]=\frac{1}{2}\left[\mathrm{Z}\right]$

What is the value of [Z] at equilibrium?

1. ${10}^{-4} \mathrm{mol} {\mathrm{L}}^{-1}$

2. $2\times {10}^{-4} \mathrm{mol} {\mathrm{L}}^{-1}$

3. $2\times {10}^4 \mathrm{mol} {\mathrm{L}}^{-1}$

4. ${10}^4 \mathrm{mol} {\mathrm{L}}^{-1}$