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JEE • CHEMISTRY • Equilibrium

Equilibrium practice · Medium

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121 Medium
121 of 401
Analyzing +4 | -1
Given the equilibrium constant values,
I. N2(g)+12O2(g)⇌N2O(g);Kc=2.7×10−18\mathrm{N}_2(g)+\frac{1}{2} \mathrm{O}_2(g) \rightleftharpoons \mathrm{N}_2 \mathrm{O}(g) ; K_c=2.7 \times 10^{-18}
II. N2O4(g)⇌2NO2(g);Kc=4.6×10−3\mathrm{N}_2 \mathrm{O}_4(g) \rightleftharpoons 2 \mathrm{NO}_2(g); K_c=4.6 \times 10^{-3}
III. 12 N2(g)+O2(g)⇌NO2(g);Kc=4.1×10−9\frac{1}{2} \mathrm{~N}_2(g)+\mathrm{O}_2(g) \rightleftharpoons \mathrm{NO}_2(g) ; K_c=4.1 \times 10^{-9}
Thus, for the reaction, 2 N2O(g)+3O2(g)⇌2 N2O4(g),Kc2 \mathrm{~N}_2 \mathrm{O}(g)+3 \mathrm{O}_2(g) \rightleftharpoons 2 \mathrm{~N}_2 \mathrm{O}_4(g), K_c is
View answer and explanation
Correct option: C
1.832×1061.832 \times 10^6
Option C (1.832×1061.832 \times 10^6) is correct because the Kc for the overall reaction is calculated by combining the given equilibrium constants using the appropriate mathematical operations.
122 Medium
122 of 401
Analyzing +4 | -1
Statement I: The pH\mathrm{pH} of 10−7M−NaOH10^{-7} \mathrm{M}-\mathrm{NaOH} solution is in between 7.0 to 7.3 at 25∘C.25^{\circ} \mathrm{C}.

Statement II: Due to common ion effect, ionization of water is reduced.
View answer and explanation
Correct option: A
If both statements are CORRECT, and Statement II is the CORRECT explanation of Statement I
Both statements are correct, and Statement II is the correct explanation of Statement I. The pH of a very dilute NaOH solution is between 7.0 and 7.3 due to the ionization of water being affected by the common ion effect. Therefore, option A is correct.
123 Medium
123 of 401
Understanding +4 | -1
For the reaction, H2(g)+I2(g)⇌2HI(g)\mathrm{H}_2(g)+\mathrm{I}_2(g) \rightleftharpoons 2 \mathrm{HI}(g), the standard free energy is ΔG∘>0\Delta G^{\circ} > 0. The equilibrium constant (KC)\left(K_C\right) would be
View answer and explanation
Correct option: D
K<1K < 1
Option D (K<1K < 1) is correct because the relationship between standard free energy change and the equilibrium constant is given by ΔG∘=−RTln⁡KC\Delta G^{\circ} = -RT \ln K_C. If ΔG∘>0\Delta G^{\circ} > 0, then ln⁡KC\ln K_C must be negative, which implies KC<1K_C < 1.
124 Medium
124 of 401
Understanding +4 | -1
Assertion (A): The dynamic nature of chemical equilibrium can be demonstrated in the synthesis of ammonia by Haber's process.

Reason (R): In a series of experiments, Haber started with known amounts of dinitrogen and dihydrogen maintained at high temperature and pressure and at regular intervals determinated the amount of ammonia present and concentration of unreacted dihydrogen and dinitrogen.
View answer and explanation
Correct option: A
Both Assertion and Reason are true and Reason is the correct explanation for Assertion
Option A is correct because Haber's process demonstrates dynamic equilibrium, and the reason accurately describes how Haber experimentally confirmed this by measuring reactant and product concentrations.
125 Medium
125 of 401
Application +4 | -1
Calculate the pH\mathrm{pH} of solution made by Three solution having pH=2,4\mathrm{pH}=2,4 and 6 .
View answer and explanation
Correct option: D
pH=2.48\mathrm{pH}=2.48
Option D (Zero) is correct because the transition is from the 5th excited state (n=6) to the 1st excited state (n=2), and no transitions occur to the ground state (n=1), which is required for the UV region (Lyman series).
126 Medium
126 of 401
Remembering +4 | -1
The range of pH in which methyl orange works as indicator:
View answer and explanation
Correct option: A
3−43 - 4
Option A (3 - 4) is correct because methyl orange is a pH indicator that changes color in the acidic range, specifically between pH 3.1 and 4.4, which is closest to the given range of 3-4.
127 Medium
127 of 401
Analyzing +4 | -1
The equilibrium constant for the reaction, N2( g)+O2( g)⇌2NO(g)\mathrm{N}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}(\mathrm{g}) is K1K_1 and the equilibrium constant for the reaction, NO(g)⇌12 N2(g)+12O2( g)\mathrm{NO}(\mathrm{g}) \rightleftharpoons \frac{1}{2} \mathrm{~N}_2(\mathrm{g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) is K2K_2 both at the same temperature. The value of K1K_1 and K2K_2 are related as:
View answer and explanation
Correct option: A
K1=(1 K2)2\mathrm{K}_1=\left(\frac{1}{\mathrm{~K}_2}\right)^2
The correct answer is A because the equilibrium constant for the reverse reaction is the inverse of the original, and squaring it gives the relationship K1 = (1/K2)2.
128 Medium
128 of 401
Application +4 | -1
Consider the reaction, CH3COOH+C2H5OH    ⇋    CH3COOC2H5+H2O.C{H_3}COOH\mathrm{ } + \mathrm{ }{C_2}{H_5}OH\;\;\leftrightharpoons\;\;C{H_3}COO{C_2}{H_5} + \mathrm{ }{H_2}O. One mole each of CH3COOHC{H_3}COOH and C2H5OH{C_2}{H_5}OH are heated in the presence of little concentrated H2SO4.{H_2}S{O_4}. On equilibrium:
View answer and explanation
Correct option: D
2/32/3 mole of ethyl acetate is formed
Option D (2/32/3 mole of ethyl acetate is formed) is correct because the equilibrium constant for this reaction is 4, and solving for the extent of reaction gives 2/3.
129 Medium
129 of 401
Understanding +4 | -1
Lewis base among the following is
View answer and explanation
Correct option: C
NH3\mathrm{NH}_3
Option C (NH3) is correct because ammonia (NH3) has a lone pair of electrons that it can donate, making it a Lewis base.
130 Medium
130 of 401
Understanding +4 | -1
For the reaction BaO2( s)⇌BaO(s)+O2( g);ΔH=+ve{BaO}_2({~s}) \rightleftharpoons {BaO}({s})+{O}_2({~g}) ; \Delta H=+{ve}.
In an equilibrium condition, pressure of O2{O}_2 depends on
View answer and explanation
Correct option: C
Increased temperature at equilibrium.
Option C (Increased temperature at equilibrium) is correct because, according to Le Chatelier's principle, increasing the temperature of an endothermic reaction shifts the equilibrium to favor the products, increasing the pressure of O2.
131 Medium
131 of 401
Application +4 | -1
When 3 moles of ethyl alcohol are mixed with 3 moles of acetic acid, 2 moles of ester are formed at equilibrium. According to the equation,

CH3COOH(l)+C2H5OH(l)⇌CH3COOC2H5(l)+H2O(l)\mathrm{CH}_3 \mathrm{COOH}(l)+\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}(l) \rightleftharpoons \mathrm{CH}_3 \mathrm{COOC}_2 \mathrm{H}_5(l)+\mathrm{H}_2 \mathrm{O}(l)
The value of the equilibrium constant for the reaction is
View answer and explanation
Correct option: A
4
Option A (4) is correct because the equilibrium constant is calculated by dividing the product of the equilibrium concentrations of the products by the product of the equilibrium concentrations of the reactants.
132 Medium
132 of 401
Application +4 | -1
The pH of the solution

5  mL  M5  HCl  +  10  mL  of  M10  NaOH  is5\;mL\;\frac{\mathrm{M}}{5}\;\mathrm{HCl}\; + \;10\;\mathrm{mL}\;\mathrm{ of}\;\frac{\mathrm{M}}{{10}}\;\mathrm{NaOH}\;\mathrm{is}
View answer and explanation
Correct option: C
7
Option C (7) is correct because the solution is neutral due to the equal number of milliequivalents of HCl and NaOH.
133 Medium
133 of 401
Understanding +4 | -1
Statement I : On opening a sealed soda water bottle, the dissolved CO2\mathrm{CO}_2 escapes out

Statement II : Gas escapes to reach the new equilibrium condition of lower pressure
View answer and explanation
Correct option: A
Statement I, II are correct
Option A (Statement I, II are correct) is correct because opening a soda bottle releases CO2 to reach a new equilibrium at lower pressure.
134 Medium
134 of 401
Application +4 | -1
The Ksp{K_{sp}} for bismuth sulphide (Bi2S3)(B{i_2}{S_3}) is 1.08×10−73.1.08 \times {10^{ - 73}}. The solubility of Bi2S3B{i_2}{S_3} in mol L−1mol\,{L^{ - 1}} at 298 K is
View answer and explanation
Correct option: A
1.0×10−151.0 \times {10^{ - 15}}
Option A (1.0imes10−151.0 imes {10^{ - 15}}) is correct because it is the solubility calculated from the given Ksp{K_{sp}} value for Bi2S3B{i_2}{S_3}.
135 Medium
135 of 401
Application +4 | -1
Ammoniacal solution of Ag++\mathrm{Ag}^{+}+Acidified solution of N2H4→\mathrm{N}_2 \mathrm{H}_4 \rightarrow ppt of (X)
View answer and explanation
Correct option: A
(X) is Ag\mathrm{Ag}
Option B (2 g/L) is correct because the solubility of a gas in a liquid is directly proportional to the pressure (Henry's Law).
136 Medium
136 of 401
Understanding +4 | -1
The equilibrium constant for the reaction,N2(g)+O2(g)⇋2NO(g){\mathrm{N}_2}\left( \mathrm{g} \right) + {\mathrm{O}_2}\left( \mathrm{g} \right)\leftrightharpoons2\mathrm{NO}\left( \mathrm{g} \right) is 4×10−44 \times {10^{ - 4}} at 2000 K. In presence of a catalyst the equilibrium is attained ten times faster. Therefore, the equilibrium constant, in present of the catalyst, at 2000 K is:
View answer and explanation
Correct option: B
4×10−44 \times {10^{ - 4}}
Option B (4×10−44 \times {10^{ - 4}}) is correct because a catalyst only affects the rate of reaction, not the equilibrium constant.
137 Medium
137 of 401
Application +4 | -1
What will be the final pH\mathrm{pH} if 0.2 mol0.2 \mathrm{~mol} of NaOH\mathrm{NaOH} is added to 1 L1 \mathrm{~L} of buffer solution consisting of 0.4 M CH3COOH0.4 \mathrm{~M} \mathrm{~CH}_3 \mathrm{COOH} and 0.3 M CH3COONa?0.3 \mathrm{~M} \mathrm{~CH}_3 \mathrm{COONa}? (pKa of CH3COOH=4.75)\left(\mathrm{pK}_{\mathrm{a}} \text{ of } \mathrm{CH}_3 \mathrm{COOH}=4.75\right)
View answer and explanation
Correct option: B
5.15
The correct answer is 5.15 because it correctly applies the Henderson-Hasselbalch equation after accounting for the addition of NaOH.
138 Medium
138 of 401
Remembering +4 | -1
The pH indicators are
View answer and explanation
Correct option: C
Either weak acids or weak bases
Option C (Either weak acids or weak bases) is correct because pH indicators are typically weak acids or weak bases that change color depending on the pH of the solution.
139 Medium
139 of 401
Application +4 | -1
The pH\mathrm{pH} value of 10−7 M10^{-7} \mathrm{~M} solution HCl{HCl} is
View answer and explanation
Correct option: C
Less than 7
Option C (Less than 7) is correct because the pH of a 10−710^{-7} M HCl solution is slightly less than 7 due to the contribution of H+ ions from both HCl and water.
140 Medium
140 of 401
Application +4 | -1
The pH of 1 M CH3COONa1\,M\,C{H_3}COONa solution in water will be nearly (pKa  for CH3COOH=4.74)\left( {p{K_a}\,\,for\,C{H_3}COOH = 4.74} \right)
View answer and explanation
Correct option: C
9.4
Option C (9.4) is correct because the pH of a salt of a weak acid and strong base is calculated using the given formula.
141 Medium
141 of 401
Application +4 | -1
A 0.01M0.01 \mathrm{M} ammonia solution is 5%5 \% ionized, its pH\mathrm{pH} will be
View answer and explanation
Correct option: B
10.6910.69
Option B (10.69) is correct because the pH is calculated using the ionization percentage and the concentration of the ammonia solution.
142 Medium
142 of 401
Understanding +4 | -1
Assertion :- The value of KK increases when concentration of the reactants are increased.

Reason :- With increases of concentration of reactants the equilibrium shifts in forward direction.
View answer and explanation
Correct option: D
If both Assertion & Reason are False
Option D is correct because the value of K (equilibrium constant) is only affected by temperature, not by changing the concentration of reactants, although the equilibrium position will shift.
143 Medium
143 of 401
Understanding +4 | -1
The equilibrium SOCl2(g)⇌SO2(g)+Cl2(g){SOCl}_2(\mathrm{g}) \rightleftharpoons {SO}_2(\mathrm{g})+{Cl}_2(\mathrm{g}) is attained at 25∘C25^{\circ} \mathrm{C} in a closed rigid container and helium gas is introduced. Which of the following statements is correct?
View answer and explanation
Correct option: D
Concentrations will not change
Option D (Concentrations will not change) is correct because adding an inert gas at constant volume does not affect the equilibrium concentrations.
144 Medium
144 of 401
Application +4 | -1
An equilibrium mixture of the reaction, 2NO(g)+O2(g)  ⇋  2NO2(g)2\mathrm{NO}\left( \mathrm{g} \right) + {\mathrm{O}_2}\left( \mathrm{g} \right)\;\leftrightharpoons\;2\mathrm{N}{\mathrm{O}_2}\left( \mathrm{g} \right) contains 0.120 mole of NO2\mathrm{N}{\mathrm{O}_2}, 0.080 mole of NO\mathrm{NO} and 0.640 mole of O2{\mathrm{O}_2} in a 4 litre flask at constant temperature. The value of Kc{K_c} for the reaction at this temperature is:
View answer and explanation
Correct option: A
14
Option A (14) is correct because the equilibrium constant Kc is calculated by dividing the square of the concentration of NO2 by the product of the square of the concentration of NO and the concentration of O2.
145 Medium
145 of 401
Understanding +4 | -1
For reaction A+B⇌C+D\mathrm{A}+\mathrm{B} \rightleftharpoons \mathrm{C}+\mathrm{D}
Some amount of A, B, C and D are added for reaction, then reaction quotient ' Q\mathrm{Q} '
View answer and explanation
Correct option: D
may increases or decreases or remain same with time
Option D (may increases or decreases or remain same with time) is correct because the change in the reaction quotient Q depends on its initial value relative to the equilibrium constant K.
146 Medium
146 of 401
Application +4 | -1
The dissociation constant of NH4OH\mathrm{N}{\mathrm{H}_4}\mathrm{OH} is 1.8×10−5.1.8 \times {10^{ - 5}}. The hydrolysis constant of NH4Cl\mathrm{N}{\mathrm{H}_4}\mathrm{Cl} would be:
View answer and explanation
Correct option: D
5.55×10−105.55 \times {10^{ - 10}}
Option D (5.55imes10−105.55 imes {10^{ - 10}}) is correct because it is calculated using the formula KH=KwKa{K_H} = \frac{{{K_w}}}{{{K_a}}}, where KwK_w is the ionic product of water and KaK_a is the dissociation constant of the weak acid.
147 Medium
147 of 401
Analyzing +4 | -1
STATEMENT I : pH\mathrm{pH} of 10−8M10^{-8} \mathrm{M} HCl\mathrm{HCl} lies between 6 and 7.

STATEMENT II : For very dilute solutions of acids, H+\mathrm{H}^{+}ion contribution form water is also taken into consideration.
View answer and explanation
Correct option: A
Statement I, II are correct
Statement A is correct because the pH of a very dilute HCl solution (10-8 M) will be between 6 and 7 due to the contribution of H+ ions from water. Statement II is also correct because it explains why the pH is not simply 8.
148 Medium
148 of 401
Application +4 | -1
The solubility product constant Ksp \mathrm{K}_{\text {sp }} of Mg(OH)2\mathrm{Mg}(\mathrm{OH})_2 is 9.0×10−129.0 \times 10^{-12}. If a solution is 0.010M0.010 \mathrm{M} with respect to Mg2+\mathrm{Mg}^{2+} ion, what is the maximum hydroxide ion concentration which could be present without causing the precipitation of Mg(OH)2\mathrm{Mg}(\mathrm{OH})_2.
View answer and explanation
Correct option: C
1.5×10−5M1.5 \times 10^{-5} \mathrm{M}
Option C (1.5 × 10-5 M) is correct because the hydroxide ion concentration is calculated using the Ksp expression and the given magnesium ion concentration.
149 Medium
149 of 401
Application +4 | -1
Calculate pH{pH} of 0.1 M0.1 \, \mathrm{M} solution of NH4Cl?{NH}_4 {Cl}? (Kb\left({K}_{{b}}\right. for NH3{NH}_3 is 2.5×10−62.5 \times 10^{-6})
View answer and explanation
Correct option: A
4.6994.699
Option A (4.699) is correct because it is calculated using the formula for the pH of a salt of a weak base and strong acid.
150 Medium
150 of 401
Analyzing +4 | -1
Given N2(g)+3H2(g)⇌2NH3(g);  K1{N_2}\left( g \right) + 3{H_2}\left( g \right) \rightleftharpoons 2N{H_3}\left( g \right);\,\,{K_1}
N2(g)+O2(g)⇌2NO(g);  K2{N_2}\left( g \right) + {O_2}\left( g \right) \rightleftharpoons 2NO\left( g \right);\,\,{K_2}
H2(g)+12O2(g)⇌H2O(g);  K3{H_2}\left( g \right) + \frac{1}{2}{O_2}\left( g \right) \rightleftharpoons {H_2}O\left( g \right);\,\,{K_3}
The equilibrium constant for 2NH3(g)+52O2(g)⇌2NO(g)+3H2O(g)2N{H_3}\left( g \right) + \frac{5}{2}{O_2}\left( g \right) \rightleftharpoons 2NO\left( g \right) + 3{H_2}O\left( g \right) will be
View answer and explanation
Correct option: D
K2K33K1\frac{{{K_2}K_3^3}}{{{K_1}}}
Option D (K2K33/K1){{K_2}K_3^3}/{{K_1}}) is correct because it represents the equilibrium constant for the target reaction derived from manipulating the given equilibrium reactions.
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