For the reaction \(A(g) \rightleftharpoons 2B(g),\)  the backward reaction rate constant is higher than the forward reaction rate constant by a factor of \(2500\) at \(1000~K \).
\(K_p\) for the reaction at \(1000~ K\) is:
[ Given: \({R= 0.0831~ L ~\text{atm mol}^{-1} }K^{-1}]\)
1. \(0.033 \)
2. \(0.021 \)
3. \(83.1 \)
4. \(2 .077 \times 10^5\)
Subtopic:  Kp, Kc & Factors Affecting them |
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Phosphoric acid ionizes in three steps, with their ionization constant values \(\mathrm{K}_{\mathrm{a}_1}, \mathrm{~K}_{\mathrm{a}_2} \text { and } \mathrm{K}_{\mathrm{a}_3} \text {, }\)respectively, while \(K\) is the overall ionization constant.  Which of the following statements are true?
A. \(\log \mathrm{K}=\log \mathrm{K}_{\mathrm{a}_1}+\log \mathrm{K}_{\mathrm{a}_2}+\log \mathrm{K}_{\mathrm{a}_3}\)
B.  \(\mathrm{H}_3 \mathrm{PO}_4\) is a stronger acid than \(\mathrm{H}_2 \mathrm{PO}_4^{-}\) and \(\mathrm{HPO}_4^{2-} .\)
C. \(\mathrm{K}_{a_1} >\mathrm{~K}_{\mathrm{a}_2}>\mathrm{K}_{\mathrm{a}_3} \)
D. \(\mathrm{K}_{\mathrm{a}_1}=\frac{\mathrm{K}_{\mathrm{a}_3}+\mathrm{K}_{\mathrm{a}_2}}{2}\)
Choose the correct answer from the options given below : 
1. B, C and D only 
2. A, B and C only 
3. A and B only 
4. A and C only
Subtopic:  Ionisation Constant of Acid, Base & Salt |
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Higher yield of \(\mathrm{NO}\) in \(\mathrm{N}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}(\mathrm{g})\) can be obtained at
\([ \Delta \mathrm{H}\) of the reaction \(=+180.7 \mathrm{~kJ} \mathrm{~mol}^{-1} ]\)
A. higher temperature
B. lower temperature
C. higher concentration of \(\mathrm{N}_2\)
D. higher concentration of \(\mathrm{O}_2\)
Choose the correct answer from the options given below:
1. B, C, D only
2. A, C, D only
3. A, D only
4. B, C only
Subtopic:  Le Chatelier's principle |
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For the reaction \(2 \mathrm{~A} \rightleftharpoons \mathrm{B}+\mathrm{C}, \mathrm{K}_{\mathrm{c}}=4 \times 10^{-3}\) .  At a given time, the composition of reaction mixture is : \([\mathrm{A}]=[\mathrm{B}]=[\mathrm{C}]=2 \times 10^{-3} \mathrm{M} \text {. }\)
In light of the above facts, which of the following is correct?
1. Reaction has a tendency to go in the forward direction.
2. Reaction has a tendency to go in the backward direction.
3. Reaction has gone to completion in the forward direction.
4. Reaction is at an equilibrium.
Subtopic:  Kp, Kc & Factors Affecting them | Le Chatelier's principle |
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In which of the following equilibria, \(\text{K}_\text{p}\) and \(\text{K}_\text{c}\) are NOT equal?

1. \(\mathrm{H}_{2(\mathrm{~g})}+\mathrm{I}_{2(\mathrm{~g})} \rightleftharpoons 2 \mathrm{HI}_{(\mathrm{g})}\)
2. \(\mathrm{CO}_{(\mathrm{g})}+\mathrm{H}_2 \mathrm{O}_{(\mathrm{g})} \rightleftharpoons \mathrm{CO}_{2(\mathrm{~g})}+\mathrm{H}_{2(\mathrm{~g})}\)
3. \(2 \mathrm{BrCl}_{(\mathrm{g})} \rightleftharpoons \mathrm{Br}_{2(\mathrm{~g})}+\mathrm{Cl}_{2(\mathrm{~g})}\)
4. \(\mathrm{PCl}_{5(\mathrm{~g})} \rightleftharpoons \mathrm{PCl}_{3(\mathrm{~g})}+\mathrm{Cl}_{2(\mathrm{~g})}\)
Subtopic:  Kp, Kc & Factors Affecting them |
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Consider the following reaction in a sealed vessel at equilibrium with concentrations of
\(\text{N}_2=3.0 \times 10^{-3} \text{M}, \text{O}_2=4.2 \times 10^{-3} \text{M}\) and
\(\text{NO}=2.8 \times 10^{-3} \text M\)
\(2 \text{NO}_{(\text{g})} \rightleftharpoons \text{N}_{2(\text{g})} +\text{O}_{2\text{(g)}}\)

If 0.1 mol L-1 of NO(g) is taken in a closed vessel, what will be the degree of dissociation (\(\alpha\)) of NO(g) at equilibrium?

1. 0.0889
2. 0.8889
3. 0.717
4. 0.00889
Subtopic:  Ionisation Constant of Acid, Base & Salt |
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Consider the reaction in equilibrium 
\(\mathrm{PCl}_5=\mathrm{PCl}_3+\mathrm{Cl}_2\)
at \(500 \mathrm{~K} .\) The concentration of \(\mathrm{PCl}_5=1.40~ \mathrm{M} \text {, }\) concentration of \(\mathrm{Cl}_2=1.60~ \mathrm{M} \text {, }\) concentration of \(\mathrm{PCl}_3=1.60 \mathrm{M}\). Calculate \(K_c\):

1. 2.00
2. 2.6
3. 1.83
4. 3.4
Subtopic:  Kp, Kc & Factors Affecting them |
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For the equilibrium
\(\mathrm{2NOCl_\text{(g)}\rightleftharpoons2NO_{\text{(g)}}+Cl_{2{\text{(g)}}}}\)
the value of the equilibrium constant is \(3.0\times10^{-6} \) at \(1000~K.\) Find \(K_p\) for the reaction at this temperature (Given \(R:8.314~\text{J K}^{-1}\text{mol}^{-1}\)):
1. \(1.493\) 2. \(2.494\times10^{-2}\)
3. \(3.0\times10^{-6}\) 4. \(2.494\times10^{-4}\)
Subtopic:  Kp, Kc & Factors Affecting them |
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At a given temperature and pressure, the equilibrium constant value for the equilibria are given below:
\(3A_2+B_2\rightleftharpoons 2A_3B, K_1\\ A_3B \rightleftharpoons \frac 3{2}A_2+\frac 1{2}B_2, K_2 \)
The relation between \(K_1\) and \(K_2\) is: 
1. \(K^2_1=2K_2\)
2. \(K_2= \frac { K_1 }{2}\)
3. \(K_1=\frac 1{\sqrt K_2}\)
4. \(K_2=\frac 1{\sqrt K_1}\)
Subtopic:  Introduction To Equilibrium |
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For the reaction in equilibrium 
\(\mathrm{N_2(g) +3H_2(g) \rightleftharpoons 2NH_3(g), \Delta H=-Q}\)
Reaction is favoured in forward direction by:
1. Use of catalyst 
2. Decreasing concentration of \(\mathrm{N_2}\)
3. Low pressure, high temperature and high concentration of ammonia
4. High pressure, low temperature and higher concentration of \(\mathrm{H_2}\)
Subtopic:  Le Chatelier's principle |
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