In which of the following gaseous reaction, K_p and K_c have the same values?

1. $2\mathrm{HI}\rightleftharpoons {\mathrm{H}}_2+{\mathrm{I}}_2$

2. ${\mathrm{N}}_2+3{\mathrm{H}}_2\rightleftharpoons 2{\mathrm{NH}}_3$

3. $2{\mathrm{SO}}_2+{\mathrm{O}}_2\rightleftharpoons 2{\mathrm{SO}}_3$

4. ${\mathrm{PCI}}_5\rightleftharpoons {\mathrm{PCII}}_3+{\mathrm{Cl}}_2$

In which of the following gaseous reaction, the value of K_p is less than K_c?

1. ${\mathrm{PCl}}_5\rightleftharpoons {\mathrm{PCl}}_3+{\mathrm{Cl}}_2$

2. ${\mathrm{N}}_2+{\mathrm{O}}_2\rightleftharpoons 2\mathrm{NO}$  

3. $2\mathrm{HI}\rightleftharpoons {\mathrm{H}}_2+{\mathrm{I}}_2$

4. ${\mathrm{N}}_2+3{\mathrm{H}}_2\rightleftharpoons {\mathrm{NH}}_3$

The value of K_c for the reaction ${\mathrm{N}}_2\left(\mathrm{g}\right) + 3{\mathrm{H}}_2\left(\mathrm{g}\right) \rightleftharpoons 2{\mathrm{NH}}_3\left(\mathrm{g}\right)$ at 400 is 0.5. The value of K_p for the reactions is $(\mathrm{R}=0.0821 \mathrm{L} \mathrm{atm} {\mathrm{mol}}^{-1}{\mathrm{K}}^{-1})$

1. $25.6\times {10}^{-2}$

2. $4.6\times {10}^{-4}$

3. $46.6\times {10}^{-4}$

4. $16.6\times {10}^{-8}$

The value of K_p for the reaction,

$2{\mathrm{SO}}_2 \left(\mathrm{g}\right)\hspace{0.17em}+{\mathrm{O}}_2\left(\mathrm{g}\right) \rightleftharpoons 2{\mathrm{SO}}_3\left(\mathrm{g}\right) \mathrm{at} 700 \mathrm{is} 1.3\times {10}^{-3} {\mathrm{atm}}^{-1}.$ The value of K_c at same temperature will be

1. $1.4\times {10}^{-2}$

2. $7.4\times {10}^{-2}$

3. $5.2\times {10}^{-2}$

4. $3.1\times {10}^{-2}$

The ratio of $\frac{{\mathrm{K}}_{\mathrm{p}}}{{\mathrm{K}}_{\mathrm{c}}}$for the reaction

${\mathrm{SO}}_2\left(\mathrm{g}\right)+{\displaystyle \frac{1}{2}}{\mathrm{O}}_2\left(\mathrm{g}\right)\rightleftharpoons {\mathrm{SO}}_3\left(\mathrm{g}\right) \mathrm{is}$

1. (RT)^-1/2 

2. (RT)^1/2 

3. (RT)

4. 1

$\mathrm{If} 2\underset{\mathrm{g}}{\mathrm{NO}}\rightleftharpoons {\mathrm{N}}_2+{\mathrm{O}}_2$
${\mathrm{K}}_{{\mathrm{c}}_1}=2.5\times {10}^{30}$
$\underset{\mathrm{g}}{\mathrm{NO}}+\frac{1}{2}\underset{\mathrm{g}}{{\mathrm{Br}}_2}\rightleftharpoons \underset{\mathrm{g}}{\mathrm{NOBr}}$
${\mathrm{K}}_{{\mathrm{c}}_2}=1.6$

find K_c for the reaction given below

$\frac{1}{2}\underset{\mathrm{g}}{{\mathrm{N}}_2}+\frac{1}{2}\underset{\mathrm{g}}{{\mathrm{O}}_2}+\frac{1}{2}\underset{\mathrm{g}}{{\mathrm{Br}}_2}\rightleftharpoons \underset{\mathrm{g}}{\mathrm{NOBr}}$

1. $1.01\times {10}^{-15}$

2. $2.02\times {10}^{-15}$

3. $1.01\times {10}^{30}$

4. $2.02\times {10}^{15}$

If K_p of the reaction $\mathrm{A}\left(\mathrm{g}\right)+2\mathrm{B}\left(\mathrm{g}\right)\rightleftharpoons 3\mathrm{C}\left(\mathrm{g}\right)+\mathrm{D}\left(\mathrm{g}\right)$ is 0.05 at 1000 K, then the value of K_c of the reaction

1. 20000 R

2. 0.02 R

3. $\frac{5\times {10}^{-5}}{\mathrm{R}}$

4. $5\times {10}^{-5}\mathrm{R}$

The reaction ${\mathrm{PCl}}_5\left(\mathrm{s}\right)\rightleftharpoons {\mathrm{PCl}}_3\left(\mathrm{g}\right)+{\mathrm{Cl}}_2\left(\mathrm{g}\right)$ is in equilibrium. If the equilibrium concentration of PCl₃(g) is doubled, then the concentration of Cl₂(g) would become

1. 1/2 of its initial value

2. 1/4 of its initial value

3. four times of its initial value

4. two times of its initial value

In the reaction, the equilibrium concentrations of PCl₅ and PCl₃ are 0.4 and 0.2 mole/liter respectively. If the value of K_c is 0.5, what is the concentration of Cl₂ in mole/liter?

1. 2.0

2. 1.5

3. 1.0

4. 0.5

4 moles each of SO₂ and O₂ gases are allowed to react to form SO₃ in a closed vessel. At equilibrium, 25% of O₂ is used up. The total number of moles of all the gases at equilibrium is

1. 6.5

2. 7.0

3. 8.0

4. 2.0