00. Law of Chemical Equilibrium and Equilibrium Constant
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NEET DIGITAL LIBRARY
Chemical Equilibrium

228993 The equilibrium constants for the reactions
$\mathbf{N}_{2}+\mathbf{3} \mathbf{H}_{2} \rightleftharpoons \mathbf{2} \mathbf{N H}_{3}$
and $\frac{1}{2} \mathbf{N}_{2}+\frac{3}{2} \mathbf{H}_{2}\rightleftharpoons \mathbf{N H}_{3}$
are $K_{1}$ and $K_{2}$ respectively. Which one of the following is the correct relationship?

1 $\mathrm{K}_{1}=2 \mathrm{~K}_{2}$
2 $\mathrm{K}_{1}=\frac{1}{2} \mathrm{~K}_{2}$
3 $\mathrm{K}_{2}=\sqrt{\mathrm{K}_{1}}$
4 $\mathrm{K}_{1}=\mathrm{K}_{2}$
BCECE-2011
Chemical Equilibrium

228996 In the reversible reaction.
$2 \mathrm{NO}_2 \underset{K_2}{\stackrel{K_1}{\rightleftharpoons}} N_2 \mathrm{O}_4$
the rate of disappearance of $\mathrm{NO}_{2}$ is equal to

1 $\frac{2 \mathrm{k}_{1}}{\mathrm{k}_{2}}\left[\mathrm{NO}_{2}\right]^{2}$
2 $2 \mathrm{k}_{1}\left[\mathrm{NO}_{2}\right]^{2}-2 \mathrm{k}_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{4}\right]$
3 $2 \mathrm{k}_{1}\left[\mathrm{NO}_{2}\right]^{2}-\mathrm{k}_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{4}\right]$
4 $\left(2 \mathrm{k}_{1}-\mathrm{k}_{2}\right)\left[\mathrm{NO}_{2}\right]$
VITEEE- 2011
Chemical Equilibrium

228997 The unit of equilibrium constant for the following reaction is
$\mathbf{2} \mathrm{NO}_{\mathbf{2}}(\mathbf{g}) \rightleftharpoons \mathbf{N}_{\mathbf{2}} \mathbf{O}_{\mathbf{4}}(\mathrm{g})$

1 $\mathrm{mol} \mathrm{L}^{-1}$
2 $\mathrm{L} \mathrm{mol}^{-1}$
3 $\mathrm{mol}^{-1} \mathrm{~L}^{-1}$
4 equilibrium constant is unitless
UPTU/UPSEE-2011
Chemical Equilibrium

228998 If the equilibrium constant for reaction (i) is 2 , what is the equilibrium constant for reaction (ii)?
$\begin{aligned}
& \mathrm{CO}_{2} \rightleftharpoons \mathrm{CO}+\frac{1}{2} \mathrm{O}_{2} \\
& \mathbf{2 C O}+\mathrm{O}_{2} \rightleftharpoons \mathbf{2} \mathrm{CO}_{2}
\end{aligned}$

1 $\frac{1}{4}$
2 $\frac{1}{2}$
3 1
4 2
UPTU/UPSEE-2011
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Chemical Equilibrium

228993 The equilibrium constants for the reactions
$\mathbf{N}_{2}+\mathbf{3} \mathbf{H}_{2} \rightleftharpoons \mathbf{2} \mathbf{N H}_{3}$
and $\frac{1}{2} \mathbf{N}_{2}+\frac{3}{2} \mathbf{H}_{2}\rightleftharpoons \mathbf{N H}_{3}$
are $K_{1}$ and $K_{2}$ respectively. Which one of the following is the correct relationship?

1 $\mathrm{K}_{1}=2 \mathrm{~K}_{2}$
2 $\mathrm{K}_{1}=\frac{1}{2} \mathrm{~K}_{2}$
3 $\mathrm{K}_{2}=\sqrt{\mathrm{K}_{1}}$
4 $\mathrm{K}_{1}=\mathrm{K}_{2}$
BCECE-2011
Chemical Equilibrium

228996 In the reversible reaction.
$2 \mathrm{NO}_2 \underset{K_2}{\stackrel{K_1}{\rightleftharpoons}} N_2 \mathrm{O}_4$
the rate of disappearance of $\mathrm{NO}_{2}$ is equal to

1 $\frac{2 \mathrm{k}_{1}}{\mathrm{k}_{2}}\left[\mathrm{NO}_{2}\right]^{2}$
2 $2 \mathrm{k}_{1}\left[\mathrm{NO}_{2}\right]^{2}-2 \mathrm{k}_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{4}\right]$
3 $2 \mathrm{k}_{1}\left[\mathrm{NO}_{2}\right]^{2}-\mathrm{k}_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{4}\right]$
4 $\left(2 \mathrm{k}_{1}-\mathrm{k}_{2}\right)\left[\mathrm{NO}_{2}\right]$
VITEEE- 2011
Chemical Equilibrium

228997 The unit of equilibrium constant for the following reaction is
$\mathbf{2} \mathrm{NO}_{\mathbf{2}}(\mathbf{g}) \rightleftharpoons \mathbf{N}_{\mathbf{2}} \mathbf{O}_{\mathbf{4}}(\mathrm{g})$

1 $\mathrm{mol} \mathrm{L}^{-1}$
2 $\mathrm{L} \mathrm{mol}^{-1}$
3 $\mathrm{mol}^{-1} \mathrm{~L}^{-1}$
4 equilibrium constant is unitless
UPTU/UPSEE-2011
Chemical Equilibrium

228998 If the equilibrium constant for reaction (i) is 2 , what is the equilibrium constant for reaction (ii)?
$\begin{aligned}
& \mathrm{CO}_{2} \rightleftharpoons \mathrm{CO}+\frac{1}{2} \mathrm{O}_{2} \\
& \mathbf{2 C O}+\mathrm{O}_{2} \rightleftharpoons \mathbf{2} \mathrm{CO}_{2}
\end{aligned}$

1 $\frac{1}{4}$
2 $\frac{1}{2}$
3 1
4 2
UPTU/UPSEE-2011
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Chemical Equilibrium

228993 The equilibrium constants for the reactions
$\mathbf{N}_{2}+\mathbf{3} \mathbf{H}_{2} \rightleftharpoons \mathbf{2} \mathbf{N H}_{3}$
and $\frac{1}{2} \mathbf{N}_{2}+\frac{3}{2} \mathbf{H}_{2}\rightleftharpoons \mathbf{N H}_{3}$
are $K_{1}$ and $K_{2}$ respectively. Which one of the following is the correct relationship?

1 $\mathrm{K}_{1}=2 \mathrm{~K}_{2}$
2 $\mathrm{K}_{1}=\frac{1}{2} \mathrm{~K}_{2}$
3 $\mathrm{K}_{2}=\sqrt{\mathrm{K}_{1}}$
4 $\mathrm{K}_{1}=\mathrm{K}_{2}$
BCECE-2011
Chemical Equilibrium

228996 In the reversible reaction.
$2 \mathrm{NO}_2 \underset{K_2}{\stackrel{K_1}{\rightleftharpoons}} N_2 \mathrm{O}_4$
the rate of disappearance of $\mathrm{NO}_{2}$ is equal to

1 $\frac{2 \mathrm{k}_{1}}{\mathrm{k}_{2}}\left[\mathrm{NO}_{2}\right]^{2}$
2 $2 \mathrm{k}_{1}\left[\mathrm{NO}_{2}\right]^{2}-2 \mathrm{k}_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{4}\right]$
3 $2 \mathrm{k}_{1}\left[\mathrm{NO}_{2}\right]^{2}-\mathrm{k}_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{4}\right]$
4 $\left(2 \mathrm{k}_{1}-\mathrm{k}_{2}\right)\left[\mathrm{NO}_{2}\right]$
VITEEE- 2011
Chemical Equilibrium

228997 The unit of equilibrium constant for the following reaction is
$\mathbf{2} \mathrm{NO}_{\mathbf{2}}(\mathbf{g}) \rightleftharpoons \mathbf{N}_{\mathbf{2}} \mathbf{O}_{\mathbf{4}}(\mathrm{g})$

1 $\mathrm{mol} \mathrm{L}^{-1}$
2 $\mathrm{L} \mathrm{mol}^{-1}$
3 $\mathrm{mol}^{-1} \mathrm{~L}^{-1}$
4 equilibrium constant is unitless
UPTU/UPSEE-2011
Chemical Equilibrium

228998 If the equilibrium constant for reaction (i) is 2 , what is the equilibrium constant for reaction (ii)?
$\begin{aligned}
& \mathrm{CO}_{2} \rightleftharpoons \mathrm{CO}+\frac{1}{2} \mathrm{O}_{2} \\
& \mathbf{2 C O}+\mathrm{O}_{2} \rightleftharpoons \mathbf{2} \mathrm{CO}_{2}
\end{aligned}$

1 $\frac{1}{4}$
2 $\frac{1}{2}$
3 1
4 2
UPTU/UPSEE-2011
NEET DIGITAL LIBRARY
Chemical Equilibrium

228993 The equilibrium constants for the reactions
$\mathbf{N}_{2}+\mathbf{3} \mathbf{H}_{2} \rightleftharpoons \mathbf{2} \mathbf{N H}_{3}$
and $\frac{1}{2} \mathbf{N}_{2}+\frac{3}{2} \mathbf{H}_{2}\rightleftharpoons \mathbf{N H}_{3}$
are $K_{1}$ and $K_{2}$ respectively. Which one of the following is the correct relationship?

1 $\mathrm{K}_{1}=2 \mathrm{~K}_{2}$
2 $\mathrm{K}_{1}=\frac{1}{2} \mathrm{~K}_{2}$
3 $\mathrm{K}_{2}=\sqrt{\mathrm{K}_{1}}$
4 $\mathrm{K}_{1}=\mathrm{K}_{2}$
BCECE-2011
Chemical Equilibrium

228996 In the reversible reaction.
$2 \mathrm{NO}_2 \underset{K_2}{\stackrel{K_1}{\rightleftharpoons}} N_2 \mathrm{O}_4$
the rate of disappearance of $\mathrm{NO}_{2}$ is equal to

1 $\frac{2 \mathrm{k}_{1}}{\mathrm{k}_{2}}\left[\mathrm{NO}_{2}\right]^{2}$
2 $2 \mathrm{k}_{1}\left[\mathrm{NO}_{2}\right]^{2}-2 \mathrm{k}_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{4}\right]$
3 $2 \mathrm{k}_{1}\left[\mathrm{NO}_{2}\right]^{2}-\mathrm{k}_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{4}\right]$
4 $\left(2 \mathrm{k}_{1}-\mathrm{k}_{2}\right)\left[\mathrm{NO}_{2}\right]$
VITEEE- 2011
Chemical Equilibrium

228997 The unit of equilibrium constant for the following reaction is
$\mathbf{2} \mathrm{NO}_{\mathbf{2}}(\mathbf{g}) \rightleftharpoons \mathbf{N}_{\mathbf{2}} \mathbf{O}_{\mathbf{4}}(\mathrm{g})$

1 $\mathrm{mol} \mathrm{L}^{-1}$
2 $\mathrm{L} \mathrm{mol}^{-1}$
3 $\mathrm{mol}^{-1} \mathrm{~L}^{-1}$
4 equilibrium constant is unitless
UPTU/UPSEE-2011
Chemical Equilibrium

228998 If the equilibrium constant for reaction (i) is 2 , what is the equilibrium constant for reaction (ii)?
$\begin{aligned}
& \mathrm{CO}_{2} \rightleftharpoons \mathrm{CO}+\frac{1}{2} \mathrm{O}_{2} \\
& \mathbf{2 C O}+\mathrm{O}_{2} \rightleftharpoons \mathbf{2} \mathrm{CO}_{2}
\end{aligned}$

1 $\frac{1}{4}$
2 $\frac{1}{2}$
3 1
4 2
UPTU/UPSEE-2011
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