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JEE • CHEMISTRY • Equilibrium

Equilibrium practice · Mixed difficulty

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211 Easy
211 of 680
Application +4 | -1
At a given temperature the Kc{K_c} for the reaction, PCl5(g)  ⇋  PCl3(g)+Cl2(g)\mathrm{PC}{\mathrm{l}_5}\left( \mathrm{g} \right)\;\leftrightharpoons\;\mathrm{PC}{\mathrm{l}_3}\left( \mathrm{g} \right) + \mathrm{C}{\mathrm{l}_2}\left( \mathrm{g} \right) is 2.4×10−32.4 \times {10^{ - 3}}. At the same temperature, the Kc{K_c} for the reaction

PCl3(g)+Cl2(g)  ⇋  PCl5(g)\mathrm{PC}{\mathrm{l}_3}\left( \mathrm{g} \right) + \mathrm{C}{\mathrm{l}_2}\left( \mathrm{g} \right)\;\leftrightharpoons\;\mathrm{PC}{\mathrm{l}_5}\left( \mathrm{g} \right) is :
View answer and explanation
Correct option: C
4.2×10−24.2 \times {10^{ - 2}}
The correct answer is C (4.2×10−24.2 \times {10^{ - 2}}) because the equilibrium constant for the reverse reaction is the inverse of the equilibrium constant for the forward reaction.
212 Medium
212 of 680
Application +4 | -1
Solution of 0.1 N NH4OH0.1 \mathrm{~N} {~NH}_4 {OH} and 0.1 N NH4Cl0.1 \mathrm{~N} {~NH}_4 {Cl} has pH 9.25.9.25. Then find out pKb{pK}_{{b}} of NH4OH{NH}_4 {OH}
View answer and explanation
Correct option: B
4.754.75
Option B (4.75) is correct because it is the pKb value calculated using the Henderson-Hasselbalch equation for a buffer solution.
213 Hard
213 of 680
Analyzing +4 | -1
Sulphide ion (S2−)\left(\mathrm{S}^{2-}\right) reacts with solid sulphur forming S22−\mathrm{S}_2^{2-} and S32−\mathrm{S}_3^{2-} with formation constants 12 and 132 . Formation constant of S32−\mathrm{S}_3^{2-} from sulphur and S22−\mathrm{S}_2^{2-} is
View answer and explanation
Correct option: A
11
Option A (11) is correct because the formation constant of S32−\mathrm{S}_3^{2-} from sulfur and S22−\mathrm{S}_2^{2-} can be calculated using the given formation constants.
214 Easy
214 of 680
Understanding +4 | -1
For which reaction Kp � Kc ?
View answer and explanation
Correct option: D
2C(s)+O2(g)→2CO(g)2C\left( s \right)\mathrm{ } + \mathrm{ }{O_2}\left( g \right) \to 2CO\left( g \right)
Option D (2C(s)+O2(g)→2CO(g)2C(s) + O_2(g) \to 2CO(g)) is correct because KpK_p � KcK_c when Δn � 0, and in this reaction, Δn = 2 - 1 = 1.
215 Medium
215 of 680
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.
216 Easy
216 of 680
Application +4 | -1
For the reaction, 2A(g)  ⇋  3C(g)+D(s)2A\left( g \right)\;\leftrightharpoons\;3C\left( g \right) + D\left( s \right) the value of Kc{K_c} will be equal to
View answer and explanation
Correct option: B
Kp/RT{K_p}/RT
Option B (Kp/RT{K_p}/RT) is correct because it correctly relates Kp and Kc based on the change in the number of moles of gas.
217 Hard
217 of 680
Application +4 | -1
Find the value of Kp\mathrm{K}_{\mathrm{p}} for dissociation of:

2HI⇌H2+I22 \mathrm{HI} \rightleftharpoons \mathrm{H}_2+\mathrm{I}_2,

if the equilibrium concentration of HI,H2\mathrm{HI}, \mathrm{H}_2 and I2\mathrm{I}_2 are 3.53,0.47893.53,0.4789 and 0.4789 mole litre−10.4789 \mathrm{~mole ~litre}^{-1} respectively.
View answer and explanation
Correct option: A
1.814×10−21.814 \times 10^{-2}
Option A (1.814×10−21.814 \times 10^{-2}) is correct because Kp is equal to Kc when delta n is zero, and Kc is calculated from the equilibrium concentrations.
218 Medium
218 of 680
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.
219 Medium
219 of 680
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.
220 Hard
220 of 680
Analyzing +4 | -1
Phenolphthalein can’t be used in the titration of
View answer and explanation
Correct option: B
CH3COOH\mathrm{CH}_3 \mathrm{COOH} with NaOH\mathrm{NaOH}
Option D (CH3COOH\mathrm{CH}_3 \mathrm{COOH} with NH4OH\mathrm{NH}_4 \mathrm{OH}) is correct because the titration of a weak acid with a weak base does not give a sharp endpoint with phenolphthalein due to hydrolysis.
221 Medium
221 of 680
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.
222 Medium
222 of 680
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).
223 Medium
223 of 680
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.
224 Easy
224 of 680
Understanding +4 | -1
For which reaction Kp{K_p} is less than Kc{K_c}?
View answer and explanation
Correct option: C
2SO2+O2⇋2SO32\mathrm{S}{\mathrm{O}_2} + {\mathrm{O}_2}\leftrightharpoons2\mathrm{S}{\mathrm{O}_3}
Option C (2SO2+O2⇋2SO32\mathrm{S}{\mathrm{O}_2} + {\mathrm{O}_2}\leftrightharpoons2\mathrm{S}{\mathrm{O}_3}) is correct because Kp<KcK_p < K_c when Δn<0\Delta n < 0, and in this reaction, Δn=2−(2+1)=−1\Delta n = 2 - (2+1) = -1.
225 Hard
225 of 680
Application +4 | -1
What is PH{P^H} of 0.02 M solution of ammonium chloride at 25oC    (Kb  of  NH3=1.8×10−5){25^\mathrm{o}}C\,\,\,\,\left( {{K_b}\,\,\mathrm{ of }\,\,N{H_3} = 1.8 \times {{10}^{ - 5}}} \right)
View answer and explanation
Correct option: A
5.477
Option A (5.477) is correct because it is calculated using the formula for the pH of a salt of a weak base and a strong acid.
226 Medium
226 of 680
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.
227 Medium
227 of 680
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.
228 Medium
228 of 680
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.
229 Easy
229 of 680
Understanding +4 | -1
(A): Acetic acid is a weak acid.

(R): Its conjugate base is weak.
View answer and explanation
Correct option: C
(A) is true but (R) is false
Option C ((A) is true but (R) is false) is correct because acetic acid is indeed a weak acid, but its conjugate base (acetate ion) is a relatively strong base, not a weak one.
230 Medium
230 of 680
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.
231 Hard
231 of 680
Application +4 | -1
What is the minimum pH\mathrm{pH} required to prevent the precipitation of ZnS\mathrm{ZnS} in a solution that is 0.01M  ZnCl20.01 \mathrm{M} \,\, \mathrm{ZnCl}_2 and saturated with 0.10M  H2 S0.10 \mathrm{M} \,\, \mathrm{H}_2 \mathrm{~S} ?
[Given Ksp=10−21, Ka1×Ka2=10−20\mathrm{K}_{\mathrm{sp}}=10^{-21}, \mathrm{~K}_{\mathrm{a}_1} \times \mathrm{K}_{\mathrm{a}_2}=10^{-20} ]
View answer and explanation
Correct option: B
1
Option B (1) is correct because the minimum pH is calculated using the KspK_{sp} of ZnS, the concentration of Zn2+Zn^{2+}, and the Ka1×Ka2K_{a1} \times K_{a2} of H2SH_2S.
232 Medium
232 of 680
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.
233 Hard
233 of 680
Application +4 | -1
A solution of a weak monobasic acid has ∧M\wedge_M for 0.1N0.1 N solution and ∧∞\wedge_{\infty} equal to 60 S cm2 mol−160 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1} and 400 S400 \mathrm{~S} cm2 mol−1\mathrm{cm}^2 \mathrm{~mol}^{-1} respectively. The pH\mathrm{pH} of this solution and KaK_a of acid is :
View answer and explanation
Correct option: A
1.82,2.65×10−31.82,2.65 \times 10^{-3}
Option A (1.82,2.65×10−31.82,2.65 \times 10^{-3}) is correct because it accurately calculates the pH and KaK_a using the given molar conductivity values.
234 Medium
234 of 680
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.
235 Easy
235 of 680
Analyzing +4 | -1
If CO2C{O_2} is made to escape from the system CO2+H2O⇋H2CO3⇋H++HCO3−,C{O_2} + {H_2}O\leftrightharpoons{H_2}C{O_3}\leftrightharpoons{H^ + } + HCO_3^ - , then for the system
View answer and explanation
Correct option: B
PH{P^H} increases
Option B is correct because if CO2 escapes, the equilibrium shifts to the left, decreasing [H+] and increasing pH.
236 Hard
236 of 680
Analyzing +4 | -1
For the following reactions, equilibrium constants are given: S(s)+O2(g)⇋SO2(g);K1=1052S(s) + {O_2}(g)\underset{{}}{\overset{{}}{\leftrightharpoons}}S{O_2}(g);{K_1} = {10^{52}}
2S(s)+3O2(g)⇋2SO3(g);K2=101292S(s) + 3{O_2}(g)\leftrightharpoons2S{O_3}(g);{K_2} = {10^{129}}
The equilibrium constant for the reaction, 2SO(g)+O2(g)⇋2SO3(g)2SO(g) + {O_2}(g)\leftrightharpoons2S{O_3}(g) is
View answer and explanation
Correct option: A
1025{10^{25}}
Option A (1025{10^{25}}) is correct because, by manipulating the given equilibrium constants and combining the reactions, the equilibrium constant for the target reaction is calculated to be 1025{10^{25}}.
237 Medium
237 of 680
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.
238 Medium
238 of 680
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}.
239 Medium
239 of 680
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).
240 Medium
240 of 680
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.
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