06. Application of Kp and Kc
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Chemical Equilibrium

229298 For the reaction
$\mathbf{C H}_{4}(\mathrm{~g})+\mathbf{2} \mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons \mathbf{C O}_{2}(\mathrm{~g})+\mathbf{2} \mathrm{H}_{2} \mathrm{O}(\mathrm{l})$
$\Delta H_{\mathrm{r}}=-170.8 \mathrm{~kJ} \mathrm{~mol}^{-1}$. Which of the following statements is not true?

1 The reaction is exothermic
2 At equilibrium, the concentration of $\mathrm{CO}_{2}(\mathrm{~g})$ and $\mathrm{H}_{2} \mathrm{O}(l)$ are not equal
3 The equilibrium constant for the reaction if given by $\mathrm{K}_{\mathrm{p}}=\frac{\left[\mathrm{CO}_{2}\right]}{\left[\mathrm{CH}_{4}\right]\left[\mathrm{O}_{2}\right]}$
4 Addition of $\mathrm{CH}_{4}(\mathrm{~g})$ or $\mathrm{O}_{2}(\mathrm{~g})$ at equilibrium will cause shift to the right
Chemical Equilibrium

229299 What is the equation for the equilibrium constant $\left(K_{c}\right)$ for the following reaction?
$\frac{1}{2} \mathrm{~A}(\mathrm{~g})+\frac{1}{3} \mathrm{~B}(\mathrm{~g}) \rightarrow \frac{2}{3} \mathrm{C}(\mathrm{g})$

1 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{A}]^{1 / 2}[\mathrm{~B}]^{1 / 3}}{[\mathrm{C}]^{3 / 2}}$
2 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{C}]^{3 / 2}}{[\mathrm{~A}]^{2}[\mathrm{~B}]^{3}}$
3 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{C}]^{2 / 3}}{[\mathrm{~A}]^{1 / 2}[\mathrm{~B}]^{1 / 3}}$
4 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{C}]^{2 / 3}}{[\mathrm{~A}]^{1 / 2}+[\mathrm{B}]^{3 / 2}}$
Chemical Equilibrium

229300 $\mathrm{N}_{2} \mathrm{O}_{4} \rightleftharpoons 2 \mathrm{NO}_{2}-\mathrm{Q}$
The unit of $K_{p}$ for the given reaction is

1 atmosphere
2 atmosphere ${ }^{2}$
3 atmosphere ${ }^{-1}$
4 None of these
Chemical Equilibrium

229302 At 550K, the $K_{c}$ for the following reaction is $10^{4}$ mol L $\mathbf{L}^{-1}$.
$\mathbf{X}(\mathrm{g})+\mathbf{Y}(\mathrm{g})$ \rightleftharpoons $\mathbf{Z}(\mathrm{g})$
At equilibrium, it was observed that
$[\mathrm{X}]=\frac{\mathbf{1}}{\mathbf{2}}[\mathrm{Y}]=\frac{\mathbf{1}}{\mathbf{2}}[\mathrm{Z}]$
What is the value of $[\mathrm{Z}]\left(\right.$ in $\mathrm{mol} \mathrm{L}^{-1}$ ) at equilibrium?

1 $2 \times 10^{-4}$
2 $10^{-4}$
3 $2 \times 10^{4}$
4 $10^{4}$
Chemical Equilibrium

229298 For the reaction
$\mathbf{C H}_{4}(\mathrm{~g})+\mathbf{2} \mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons \mathbf{C O}_{2}(\mathrm{~g})+\mathbf{2} \mathrm{H}_{2} \mathrm{O}(\mathrm{l})$
$\Delta H_{\mathrm{r}}=-170.8 \mathrm{~kJ} \mathrm{~mol}^{-1}$. Which of the following statements is not true?

1 The reaction is exothermic
2 At equilibrium, the concentration of $\mathrm{CO}_{2}(\mathrm{~g})$ and $\mathrm{H}_{2} \mathrm{O}(l)$ are not equal
3 The equilibrium constant for the reaction if given by $\mathrm{K}_{\mathrm{p}}=\frac{\left[\mathrm{CO}_{2}\right]}{\left[\mathrm{CH}_{4}\right]\left[\mathrm{O}_{2}\right]}$
4 Addition of $\mathrm{CH}_{4}(\mathrm{~g})$ or $\mathrm{O}_{2}(\mathrm{~g})$ at equilibrium will cause shift to the right
Chemical Equilibrium

229299 What is the equation for the equilibrium constant $\left(K_{c}\right)$ for the following reaction?
$\frac{1}{2} \mathrm{~A}(\mathrm{~g})+\frac{1}{3} \mathrm{~B}(\mathrm{~g}) \rightarrow \frac{2}{3} \mathrm{C}(\mathrm{g})$

1 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{A}]^{1 / 2}[\mathrm{~B}]^{1 / 3}}{[\mathrm{C}]^{3 / 2}}$
2 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{C}]^{3 / 2}}{[\mathrm{~A}]^{2}[\mathrm{~B}]^{3}}$
3 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{C}]^{2 / 3}}{[\mathrm{~A}]^{1 / 2}[\mathrm{~B}]^{1 / 3}}$
4 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{C}]^{2 / 3}}{[\mathrm{~A}]^{1 / 2}+[\mathrm{B}]^{3 / 2}}$
Chemical Equilibrium

229300 $\mathrm{N}_{2} \mathrm{O}_{4} \rightleftharpoons 2 \mathrm{NO}_{2}-\mathrm{Q}$
The unit of $K_{p}$ for the given reaction is

1 atmosphere
2 atmosphere ${ }^{2}$
3 atmosphere ${ }^{-1}$
4 None of these
Chemical Equilibrium

229302 At 550K, the $K_{c}$ for the following reaction is $10^{4}$ mol L $\mathbf{L}^{-1}$.
$\mathbf{X}(\mathrm{g})+\mathbf{Y}(\mathrm{g})$ \rightleftharpoons $\mathbf{Z}(\mathrm{g})$
At equilibrium, it was observed that
$[\mathrm{X}]=\frac{\mathbf{1}}{\mathbf{2}}[\mathrm{Y}]=\frac{\mathbf{1}}{\mathbf{2}}[\mathrm{Z}]$
What is the value of $[\mathrm{Z}]\left(\right.$ in $\mathrm{mol} \mathrm{L}^{-1}$ ) at equilibrium?

1 $2 \times 10^{-4}$
2 $10^{-4}$
3 $2 \times 10^{4}$
4 $10^{4}$
Chemical Equilibrium

229298 For the reaction
$\mathbf{C H}_{4}(\mathrm{~g})+\mathbf{2} \mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons \mathbf{C O}_{2}(\mathrm{~g})+\mathbf{2} \mathrm{H}_{2} \mathrm{O}(\mathrm{l})$
$\Delta H_{\mathrm{r}}=-170.8 \mathrm{~kJ} \mathrm{~mol}^{-1}$. Which of the following statements is not true?

1 The reaction is exothermic
2 At equilibrium, the concentration of $\mathrm{CO}_{2}(\mathrm{~g})$ and $\mathrm{H}_{2} \mathrm{O}(l)$ are not equal
3 The equilibrium constant for the reaction if given by $\mathrm{K}_{\mathrm{p}}=\frac{\left[\mathrm{CO}_{2}\right]}{\left[\mathrm{CH}_{4}\right]\left[\mathrm{O}_{2}\right]}$
4 Addition of $\mathrm{CH}_{4}(\mathrm{~g})$ or $\mathrm{O}_{2}(\mathrm{~g})$ at equilibrium will cause shift to the right
Chemical Equilibrium

229299 What is the equation for the equilibrium constant $\left(K_{c}\right)$ for the following reaction?
$\frac{1}{2} \mathrm{~A}(\mathrm{~g})+\frac{1}{3} \mathrm{~B}(\mathrm{~g}) \rightarrow \frac{2}{3} \mathrm{C}(\mathrm{g})$

1 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{A}]^{1 / 2}[\mathrm{~B}]^{1 / 3}}{[\mathrm{C}]^{3 / 2}}$
2 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{C}]^{3 / 2}}{[\mathrm{~A}]^{2}[\mathrm{~B}]^{3}}$
3 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{C}]^{2 / 3}}{[\mathrm{~A}]^{1 / 2}[\mathrm{~B}]^{1 / 3}}$
4 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{C}]^{2 / 3}}{[\mathrm{~A}]^{1 / 2}+[\mathrm{B}]^{3 / 2}}$
Chemical Equilibrium

229300 $\mathrm{N}_{2} \mathrm{O}_{4} \rightleftharpoons 2 \mathrm{NO}_{2}-\mathrm{Q}$
The unit of $K_{p}$ for the given reaction is

1 atmosphere
2 atmosphere ${ }^{2}$
3 atmosphere ${ }^{-1}$
4 None of these
Chemical Equilibrium

229302 At 550K, the $K_{c}$ for the following reaction is $10^{4}$ mol L $\mathbf{L}^{-1}$.
$\mathbf{X}(\mathrm{g})+\mathbf{Y}(\mathrm{g})$ \rightleftharpoons $\mathbf{Z}(\mathrm{g})$
At equilibrium, it was observed that
$[\mathrm{X}]=\frac{\mathbf{1}}{\mathbf{2}}[\mathrm{Y}]=\frac{\mathbf{1}}{\mathbf{2}}[\mathrm{Z}]$
What is the value of $[\mathrm{Z}]\left(\right.$ in $\mathrm{mol} \mathrm{L}^{-1}$ ) at equilibrium?

1 $2 \times 10^{-4}$
2 $10^{-4}$
3 $2 \times 10^{4}$
4 $10^{4}$
Chemical Equilibrium

229298 For the reaction
$\mathbf{C H}_{4}(\mathrm{~g})+\mathbf{2} \mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons \mathbf{C O}_{2}(\mathrm{~g})+\mathbf{2} \mathrm{H}_{2} \mathrm{O}(\mathrm{l})$
$\Delta H_{\mathrm{r}}=-170.8 \mathrm{~kJ} \mathrm{~mol}^{-1}$. Which of the following statements is not true?

1 The reaction is exothermic
2 At equilibrium, the concentration of $\mathrm{CO}_{2}(\mathrm{~g})$ and $\mathrm{H}_{2} \mathrm{O}(l)$ are not equal
3 The equilibrium constant for the reaction if given by $\mathrm{K}_{\mathrm{p}}=\frac{\left[\mathrm{CO}_{2}\right]}{\left[\mathrm{CH}_{4}\right]\left[\mathrm{O}_{2}\right]}$
4 Addition of $\mathrm{CH}_{4}(\mathrm{~g})$ or $\mathrm{O}_{2}(\mathrm{~g})$ at equilibrium will cause shift to the right
Chemical Equilibrium

229299 What is the equation for the equilibrium constant $\left(K_{c}\right)$ for the following reaction?
$\frac{1}{2} \mathrm{~A}(\mathrm{~g})+\frac{1}{3} \mathrm{~B}(\mathrm{~g}) \rightarrow \frac{2}{3} \mathrm{C}(\mathrm{g})$

1 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{A}]^{1 / 2}[\mathrm{~B}]^{1 / 3}}{[\mathrm{C}]^{3 / 2}}$
2 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{C}]^{3 / 2}}{[\mathrm{~A}]^{2}[\mathrm{~B}]^{3}}$
3 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{C}]^{2 / 3}}{[\mathrm{~A}]^{1 / 2}[\mathrm{~B}]^{1 / 3}}$
4 $\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{C}]^{2 / 3}}{[\mathrm{~A}]^{1 / 2}+[\mathrm{B}]^{3 / 2}}$
Chemical Equilibrium

229300 $\mathrm{N}_{2} \mathrm{O}_{4} \rightleftharpoons 2 \mathrm{NO}_{2}-\mathrm{Q}$
The unit of $K_{p}$ for the given reaction is

1 atmosphere
2 atmosphere ${ }^{2}$
3 atmosphere ${ }^{-1}$
4 None of these
Chemical Equilibrium

229302 At 550K, the $K_{c}$ for the following reaction is $10^{4}$ mol L $\mathbf{L}^{-1}$.
$\mathbf{X}(\mathrm{g})+\mathbf{Y}(\mathrm{g})$ \rightleftharpoons $\mathbf{Z}(\mathrm{g})$
At equilibrium, it was observed that
$[\mathrm{X}]=\frac{\mathbf{1}}{\mathbf{2}}[\mathrm{Y}]=\frac{\mathbf{1}}{\mathbf{2}}[\mathrm{Z}]$
What is the value of $[\mathrm{Z}]\left(\right.$ in $\mathrm{mol} \mathrm{L}^{-1}$ ) at equilibrium?

1 $2 \times 10^{-4}$
2 $10^{-4}$
3 $2 \times 10^{4}$
4 $10^{4}$