00. Law of Chemical Equilibrium and Equilibrium Constant
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Chemical Equilibrium

228988 The equilibrium constant for the reaction, $\mathbf{a A}+\mathbf{b B} \rightleftharpoons \mathbf{c}+\mathbf{d D}$ is $\mathrm{K}$, then the equilibrium constant for the reaction, $\mathbf{n a A}+\mathbf{n b B} \rightleftharpoons \mathbf{n c C}+\mathbf{n d D}$

1 $\mathrm{K}$
2 $\mathrm{K}^{\mathrm{n}}$
3 $\frac{1}{\mathrm{~K}^{\mathrm{n}}}$
4 $\frac{1}{\mathrm{~K}^{\mathrm{n}-1}}$
Chemical Equilibrium

228989 Phosphorus pentachloride dissociates as follows in a closed reaction vessel,
$\mathbf{P C l}_{5}(\mathrm{~g}) \rightleftharpoons \mathbf{P C l}_{3}(\mathrm{~g})+\mathbf{C l}_{2}(\mathrm{~g})$
If total pressure at equilibrium of the reaction mixture is $\mathrm{p}$ and degree of dissociation of $\mathrm{PCl}_{5}$ is $\mathrm{x}$, the partial pressure of $\mathrm{PCl}_{3}$ will be

1 $\left(\frac{x}{x+1}\right) p$
2 $\left(\frac{2 x}{1-x}\right) p$
3 $\left(\frac{x}{x-1}\right) p$
4 $\left(\frac{\mathrm{x}}{1-\mathrm{x}}\right) \mathrm{p}$
Chemical Equilibrium

228990 For the homogeneous reaction.
$4 \mathrm{NH}_{3}+5 \mathrm{O}_{2} \rightleftharpoons 4 \mathrm{NO}+6 \mathrm{H}_{2} \mathrm{O}$
the equilibrium constant $K_{c}$ has the units

1 conc. $^{+10}$
2 conc. $^{+1}$
3 conc.
4 it is dimensionless
JIMPER-2012
Chemical Equilibrium

228992 For the reaction
$\mathrm{N}_{2} \mathrm{O}_{5} \longrightarrow 2 \mathrm{NO}_{2}+\frac{1}{2} \mathrm{O}_{2}$
$\frac{-\mathrm{d}\left[\mathrm{N}_{2} \mathrm{O}_{5}\right]}{\mathrm{dt}}=\mathrm{k}_{1}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]$
$\frac{\mathrm{d}\left[\mathrm{NO}_{2}\right]}{\mathrm{dt}}=\mathrm{k}_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]$
$\frac{\mathrm{d}\left[\mathrm{O}_{2}\right]}{\mathrm{dt}}=\mathrm{k}_{3}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]$

1 $2 \mathrm{k}_{1}=\mathrm{k}_{2}=4 \mathrm{k}_{3}$
2 $\mathrm{k}_{1}=\mathrm{k}_{2}=\mathrm{k}_{3}$
3 $2 \mathrm{k}_{1}=4 \mathrm{k}_{2}=\mathrm{k}_{3}$
4 none of these
Chemical Equilibrium

228988 The equilibrium constant for the reaction, $\mathbf{a A}+\mathbf{b B} \rightleftharpoons \mathbf{c}+\mathbf{d D}$ is $\mathrm{K}$, then the equilibrium constant for the reaction, $\mathbf{n a A}+\mathbf{n b B} \rightleftharpoons \mathbf{n c C}+\mathbf{n d D}$

1 $\mathrm{K}$
2 $\mathrm{K}^{\mathrm{n}}$
3 $\frac{1}{\mathrm{~K}^{\mathrm{n}}}$
4 $\frac{1}{\mathrm{~K}^{\mathrm{n}-1}}$
Chemical Equilibrium

228989 Phosphorus pentachloride dissociates as follows in a closed reaction vessel,
$\mathbf{P C l}_{5}(\mathrm{~g}) \rightleftharpoons \mathbf{P C l}_{3}(\mathrm{~g})+\mathbf{C l}_{2}(\mathrm{~g})$
If total pressure at equilibrium of the reaction mixture is $\mathrm{p}$ and degree of dissociation of $\mathrm{PCl}_{5}$ is $\mathrm{x}$, the partial pressure of $\mathrm{PCl}_{3}$ will be

1 $\left(\frac{x}{x+1}\right) p$
2 $\left(\frac{2 x}{1-x}\right) p$
3 $\left(\frac{x}{x-1}\right) p$
4 $\left(\frac{\mathrm{x}}{1-\mathrm{x}}\right) \mathrm{p}$
Chemical Equilibrium

228990 For the homogeneous reaction.
$4 \mathrm{NH}_{3}+5 \mathrm{O}_{2} \rightleftharpoons 4 \mathrm{NO}+6 \mathrm{H}_{2} \mathrm{O}$
the equilibrium constant $K_{c}$ has the units

1 conc. $^{+10}$
2 conc. $^{+1}$
3 conc.
4 it is dimensionless
JIMPER-2012
Chemical Equilibrium

228992 For the reaction
$\mathrm{N}_{2} \mathrm{O}_{5} \longrightarrow 2 \mathrm{NO}_{2}+\frac{1}{2} \mathrm{O}_{2}$
$\frac{-\mathrm{d}\left[\mathrm{N}_{2} \mathrm{O}_{5}\right]}{\mathrm{dt}}=\mathrm{k}_{1}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]$
$\frac{\mathrm{d}\left[\mathrm{NO}_{2}\right]}{\mathrm{dt}}=\mathrm{k}_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]$
$\frac{\mathrm{d}\left[\mathrm{O}_{2}\right]}{\mathrm{dt}}=\mathrm{k}_{3}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]$

1 $2 \mathrm{k}_{1}=\mathrm{k}_{2}=4 \mathrm{k}_{3}$
2 $\mathrm{k}_{1}=\mathrm{k}_{2}=\mathrm{k}_{3}$
3 $2 \mathrm{k}_{1}=4 \mathrm{k}_{2}=\mathrm{k}_{3}$
4 none of these
Chemical Equilibrium

228988 The equilibrium constant for the reaction, $\mathbf{a A}+\mathbf{b B} \rightleftharpoons \mathbf{c}+\mathbf{d D}$ is $\mathrm{K}$, then the equilibrium constant for the reaction, $\mathbf{n a A}+\mathbf{n b B} \rightleftharpoons \mathbf{n c C}+\mathbf{n d D}$

1 $\mathrm{K}$
2 $\mathrm{K}^{\mathrm{n}}$
3 $\frac{1}{\mathrm{~K}^{\mathrm{n}}}$
4 $\frac{1}{\mathrm{~K}^{\mathrm{n}-1}}$
Chemical Equilibrium

228989 Phosphorus pentachloride dissociates as follows in a closed reaction vessel,
$\mathbf{P C l}_{5}(\mathrm{~g}) \rightleftharpoons \mathbf{P C l}_{3}(\mathrm{~g})+\mathbf{C l}_{2}(\mathrm{~g})$
If total pressure at equilibrium of the reaction mixture is $\mathrm{p}$ and degree of dissociation of $\mathrm{PCl}_{5}$ is $\mathrm{x}$, the partial pressure of $\mathrm{PCl}_{3}$ will be

1 $\left(\frac{x}{x+1}\right) p$
2 $\left(\frac{2 x}{1-x}\right) p$
3 $\left(\frac{x}{x-1}\right) p$
4 $\left(\frac{\mathrm{x}}{1-\mathrm{x}}\right) \mathrm{p}$
Chemical Equilibrium

228990 For the homogeneous reaction.
$4 \mathrm{NH}_{3}+5 \mathrm{O}_{2} \rightleftharpoons 4 \mathrm{NO}+6 \mathrm{H}_{2} \mathrm{O}$
the equilibrium constant $K_{c}$ has the units

1 conc. $^{+10}$
2 conc. $^{+1}$
3 conc.
4 it is dimensionless
JIMPER-2012
Chemical Equilibrium

228992 For the reaction
$\mathrm{N}_{2} \mathrm{O}_{5} \longrightarrow 2 \mathrm{NO}_{2}+\frac{1}{2} \mathrm{O}_{2}$
$\frac{-\mathrm{d}\left[\mathrm{N}_{2} \mathrm{O}_{5}\right]}{\mathrm{dt}}=\mathrm{k}_{1}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]$
$\frac{\mathrm{d}\left[\mathrm{NO}_{2}\right]}{\mathrm{dt}}=\mathrm{k}_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]$
$\frac{\mathrm{d}\left[\mathrm{O}_{2}\right]}{\mathrm{dt}}=\mathrm{k}_{3}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]$

1 $2 \mathrm{k}_{1}=\mathrm{k}_{2}=4 \mathrm{k}_{3}$
2 $\mathrm{k}_{1}=\mathrm{k}_{2}=\mathrm{k}_{3}$
3 $2 \mathrm{k}_{1}=4 \mathrm{k}_{2}=\mathrm{k}_{3}$
4 none of these
Chemical Equilibrium

228988 The equilibrium constant for the reaction, $\mathbf{a A}+\mathbf{b B} \rightleftharpoons \mathbf{c}+\mathbf{d D}$ is $\mathrm{K}$, then the equilibrium constant for the reaction, $\mathbf{n a A}+\mathbf{n b B} \rightleftharpoons \mathbf{n c C}+\mathbf{n d D}$

1 $\mathrm{K}$
2 $\mathrm{K}^{\mathrm{n}}$
3 $\frac{1}{\mathrm{~K}^{\mathrm{n}}}$
4 $\frac{1}{\mathrm{~K}^{\mathrm{n}-1}}$
Chemical Equilibrium

228989 Phosphorus pentachloride dissociates as follows in a closed reaction vessel,
$\mathbf{P C l}_{5}(\mathrm{~g}) \rightleftharpoons \mathbf{P C l}_{3}(\mathrm{~g})+\mathbf{C l}_{2}(\mathrm{~g})$
If total pressure at equilibrium of the reaction mixture is $\mathrm{p}$ and degree of dissociation of $\mathrm{PCl}_{5}$ is $\mathrm{x}$, the partial pressure of $\mathrm{PCl}_{3}$ will be

1 $\left(\frac{x}{x+1}\right) p$
2 $\left(\frac{2 x}{1-x}\right) p$
3 $\left(\frac{x}{x-1}\right) p$
4 $\left(\frac{\mathrm{x}}{1-\mathrm{x}}\right) \mathrm{p}$
Chemical Equilibrium

228990 For the homogeneous reaction.
$4 \mathrm{NH}_{3}+5 \mathrm{O}_{2} \rightleftharpoons 4 \mathrm{NO}+6 \mathrm{H}_{2} \mathrm{O}$
the equilibrium constant $K_{c}$ has the units

1 conc. $^{+10}$
2 conc. $^{+1}$
3 conc.
4 it is dimensionless
JIMPER-2012
Chemical Equilibrium

228992 For the reaction
$\mathrm{N}_{2} \mathrm{O}_{5} \longrightarrow 2 \mathrm{NO}_{2}+\frac{1}{2} \mathrm{O}_{2}$
$\frac{-\mathrm{d}\left[\mathrm{N}_{2} \mathrm{O}_{5}\right]}{\mathrm{dt}}=\mathrm{k}_{1}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]$
$\frac{\mathrm{d}\left[\mathrm{NO}_{2}\right]}{\mathrm{dt}}=\mathrm{k}_{2}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]$
$\frac{\mathrm{d}\left[\mathrm{O}_{2}\right]}{\mathrm{dt}}=\mathrm{k}_{3}\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]$

1 $2 \mathrm{k}_{1}=\mathrm{k}_{2}=4 \mathrm{k}_{3}$
2 $\mathrm{k}_{1}=\mathrm{k}_{2}=\mathrm{k}_{3}$
3 $2 \mathrm{k}_{1}=4 \mathrm{k}_{2}=\mathrm{k}_{3}$
4 none of these