00. Law of Chemical Equilibrium and Equilibrium Constant
Chemical Equilibrium

228999 One mole of pure ethyl alcohol is mixed with one mole of acetic acid at room temperature and it is found that at equilibrium two-third mole of ester and two-third mole of water are present in the reaction mixture. What is the equilibrium constant for the reaction?

1 1
2 2
3 4
4 6
Chemical Equilibrium

229000 In the reaction of a $A+2 B \rightarrow C+2 D$, the intitial rate, $-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}$ at $\mathrm{t}=0$ was found to be $2.6 \times 10^{-2} \mathrm{Ms}^{-1}$. What is the value of $-\frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$ at $\mathrm{t}=\mathbf{0}$ in $\mathrm{Ms}^{-1}$ ?

1 $2.6 \times 10^{-2}$
2 $5.2 \times 10^{-2}$
3 $1.0 \times 10^{-1}$
4 $6.5 \times 10^{-3}$
Chemical Equilibrium

229001 For the reversible reaction.
$\mathrm{A}(\mathrm{s})+\mathrm{B}(\mathrm{g}) \rightleftharpoons \mathrm{C}(\mathrm{g})+\mathrm{D}(\mathrm{g}) ; \Delta \mathrm{G}^{\mathrm{o}}=-350 \mathrm{~kJ}$
Which one of the following statements is true?

1 The entropy change is negative
2 Equilibrium constant is greater than one
3 The reaction should be instantaneous
4 The reaction is thermodynamically not feasible
Chemical Equilibrium

229002 Consider the following reactions in which all the reactants and the products are in gaseous state.
$\begin{gathered}
2 \mathrm{PQ} \rightleftharpoons \mathrm{P}_{2}+\mathrm{Q}_{2} ; \mathrm{K}_{1}=2.5 \times 10^{5} \\
\mathrm{PQ}+\frac{1}{2} \mathrm{R}_{2} \rightleftharpoons \mathrm{PQR} ; \mathrm{K}_{2}=5 \times 10^{-3}
\end{gathered}$
The value of $K_{3}$ for the equilibrium
$\begin{array}{ll}
\frac{\mathbf{1}}{\mathbf{2}} \mathbf{P}_{\mathbf{2}}+\frac{\mathbf{1}}{\mathbf{2}} \mathbf{Q}_{\mathbf{2}}+\frac{\mathbf{1}}{\mathbf{2}} \mathbf{R}_{\mathbf{2}} \rightleftharpoons \mathbf{P Q R} \text {, is } \\
\end{array}$

1 $2.5 \times 10^{-3}$
2 $2.5 \times 10^{3}$
3 $1.0 \times 10^{-5}$
4 $5 \times 10^{-3}$
5 $5 \times 10^{-3}$
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Chemical Equilibrium

228999 One mole of pure ethyl alcohol is mixed with one mole of acetic acid at room temperature and it is found that at equilibrium two-third mole of ester and two-third mole of water are present in the reaction mixture. What is the equilibrium constant for the reaction?

1 1
2 2
3 4
4 6
Chemical Equilibrium

229000 In the reaction of a $A+2 B \rightarrow C+2 D$, the intitial rate, $-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}$ at $\mathrm{t}=0$ was found to be $2.6 \times 10^{-2} \mathrm{Ms}^{-1}$. What is the value of $-\frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$ at $\mathrm{t}=\mathbf{0}$ in $\mathrm{Ms}^{-1}$ ?

1 $2.6 \times 10^{-2}$
2 $5.2 \times 10^{-2}$
3 $1.0 \times 10^{-1}$
4 $6.5 \times 10^{-3}$
Chemical Equilibrium

229001 For the reversible reaction.
$\mathrm{A}(\mathrm{s})+\mathrm{B}(\mathrm{g}) \rightleftharpoons \mathrm{C}(\mathrm{g})+\mathrm{D}(\mathrm{g}) ; \Delta \mathrm{G}^{\mathrm{o}}=-350 \mathrm{~kJ}$
Which one of the following statements is true?

1 The entropy change is negative
2 Equilibrium constant is greater than one
3 The reaction should be instantaneous
4 The reaction is thermodynamically not feasible
Chemical Equilibrium

229002 Consider the following reactions in which all the reactants and the products are in gaseous state.
$\begin{gathered}
2 \mathrm{PQ} \rightleftharpoons \mathrm{P}_{2}+\mathrm{Q}_{2} ; \mathrm{K}_{1}=2.5 \times 10^{5} \\
\mathrm{PQ}+\frac{1}{2} \mathrm{R}_{2} \rightleftharpoons \mathrm{PQR} ; \mathrm{K}_{2}=5 \times 10^{-3}
\end{gathered}$
The value of $K_{3}$ for the equilibrium
$\begin{array}{ll}
\frac{\mathbf{1}}{\mathbf{2}} \mathbf{P}_{\mathbf{2}}+\frac{\mathbf{1}}{\mathbf{2}} \mathbf{Q}_{\mathbf{2}}+\frac{\mathbf{1}}{\mathbf{2}} \mathbf{R}_{\mathbf{2}} \rightleftharpoons \mathbf{P Q R} \text {, is } \\
\end{array}$

1 $2.5 \times 10^{-3}$
2 $2.5 \times 10^{3}$
3 $1.0 \times 10^{-5}$
4 $5 \times 10^{-3}$
5 $5 \times 10^{-3}$
Chemical Equilibrium

228999 One mole of pure ethyl alcohol is mixed with one mole of acetic acid at room temperature and it is found that at equilibrium two-third mole of ester and two-third mole of water are present in the reaction mixture. What is the equilibrium constant for the reaction?

1 1
2 2
3 4
4 6
Chemical Equilibrium

229000 In the reaction of a $A+2 B \rightarrow C+2 D$, the intitial rate, $-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}$ at $\mathrm{t}=0$ was found to be $2.6 \times 10^{-2} \mathrm{Ms}^{-1}$. What is the value of $-\frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$ at $\mathrm{t}=\mathbf{0}$ in $\mathrm{Ms}^{-1}$ ?

1 $2.6 \times 10^{-2}$
2 $5.2 \times 10^{-2}$
3 $1.0 \times 10^{-1}$
4 $6.5 \times 10^{-3}$
Chemical Equilibrium

229001 For the reversible reaction.
$\mathrm{A}(\mathrm{s})+\mathrm{B}(\mathrm{g}) \rightleftharpoons \mathrm{C}(\mathrm{g})+\mathrm{D}(\mathrm{g}) ; \Delta \mathrm{G}^{\mathrm{o}}=-350 \mathrm{~kJ}$
Which one of the following statements is true?

1 The entropy change is negative
2 Equilibrium constant is greater than one
3 The reaction should be instantaneous
4 The reaction is thermodynamically not feasible
Chemical Equilibrium

229002 Consider the following reactions in which all the reactants and the products are in gaseous state.
$\begin{gathered}
2 \mathrm{PQ} \rightleftharpoons \mathrm{P}_{2}+\mathrm{Q}_{2} ; \mathrm{K}_{1}=2.5 \times 10^{5} \\
\mathrm{PQ}+\frac{1}{2} \mathrm{R}_{2} \rightleftharpoons \mathrm{PQR} ; \mathrm{K}_{2}=5 \times 10^{-3}
\end{gathered}$
The value of $K_{3}$ for the equilibrium
$\begin{array}{ll}
\frac{\mathbf{1}}{\mathbf{2}} \mathbf{P}_{\mathbf{2}}+\frac{\mathbf{1}}{\mathbf{2}} \mathbf{Q}_{\mathbf{2}}+\frac{\mathbf{1}}{\mathbf{2}} \mathbf{R}_{\mathbf{2}} \rightleftharpoons \mathbf{P Q R} \text {, is } \\
\end{array}$

1 $2.5 \times 10^{-3}$
2 $2.5 \times 10^{3}$
3 $1.0 \times 10^{-5}$
4 $5 \times 10^{-3}$
5 $5 \times 10^{-3}$
Chemical Equilibrium

228999 One mole of pure ethyl alcohol is mixed with one mole of acetic acid at room temperature and it is found that at equilibrium two-third mole of ester and two-third mole of water are present in the reaction mixture. What is the equilibrium constant for the reaction?

1 1
2 2
3 4
4 6
Chemical Equilibrium

229000 In the reaction of a $A+2 B \rightarrow C+2 D$, the intitial rate, $-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{dt}}$ at $\mathrm{t}=0$ was found to be $2.6 \times 10^{-2} \mathrm{Ms}^{-1}$. What is the value of $-\frac{\mathrm{d}[\mathrm{B}]}{\mathrm{dt}}$ at $\mathrm{t}=\mathbf{0}$ in $\mathrm{Ms}^{-1}$ ?

1 $2.6 \times 10^{-2}$
2 $5.2 \times 10^{-2}$
3 $1.0 \times 10^{-1}$
4 $6.5 \times 10^{-3}$
Chemical Equilibrium

229001 For the reversible reaction.
$\mathrm{A}(\mathrm{s})+\mathrm{B}(\mathrm{g}) \rightleftharpoons \mathrm{C}(\mathrm{g})+\mathrm{D}(\mathrm{g}) ; \Delta \mathrm{G}^{\mathrm{o}}=-350 \mathrm{~kJ}$
Which one of the following statements is true?

1 The entropy change is negative
2 Equilibrium constant is greater than one
3 The reaction should be instantaneous
4 The reaction is thermodynamically not feasible
Chemical Equilibrium

229002 Consider the following reactions in which all the reactants and the products are in gaseous state.
$\begin{gathered}
2 \mathrm{PQ} \rightleftharpoons \mathrm{P}_{2}+\mathrm{Q}_{2} ; \mathrm{K}_{1}=2.5 \times 10^{5} \\
\mathrm{PQ}+\frac{1}{2} \mathrm{R}_{2} \rightleftharpoons \mathrm{PQR} ; \mathrm{K}_{2}=5 \times 10^{-3}
\end{gathered}$
The value of $K_{3}$ for the equilibrium
$\begin{array}{ll}
\frac{\mathbf{1}}{\mathbf{2}} \mathbf{P}_{\mathbf{2}}+\frac{\mathbf{1}}{\mathbf{2}} \mathbf{Q}_{\mathbf{2}}+\frac{\mathbf{1}}{\mathbf{2}} \mathbf{R}_{\mathbf{2}} \rightleftharpoons \mathbf{P Q R} \text {, is } \\
\end{array}$

1 $2.5 \times 10^{-3}$
2 $2.5 \times 10^{3}$
3 $1.0 \times 10^{-5}$
4 $5 \times 10^{-3}$
5 $5 \times 10^{-3}$