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JEE • CHEMISTRY • Equilibrium

Equilibrium practice · Mixed difficulty

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481 Medium
481 of 680
Analyzing +4 | -1
Assertion (A): At an equilibrium A(g)+2B(g)⇌C(g)\mathrm{A}(\mathrm{g})+2 \mathrm{B}(\mathrm{g}) \rightleftharpoons \mathrm{C}(\mathrm{g}) if substantial amount of water is added to the mixture and stated that only A(g)\mathrm{A}(\mathrm{g}) gets dissolved to a certain extent in water then equilibrium shifts towards forward direction.

Reason (R): On decreasing the volume of reaction mixture and keeping rest of things same the equilibrium shifts to a direction having more number of gaseous molecules.
View answer and explanation
Correct option: D
Both (A) and (R) are false
Option D is correct because both the assertion and the reason are false. Adding water and dissolving A(g) doesn't necessarily shift the equilibrium forward, and decreasing volume shifts the equilibrium towards fewer gaseous molecules, not more.
482 Hard
482 of 680
Analyzing +4 | -1
The solubility products of Mg(OH)2,Cd(OH)2,Al(OH)3\mathrm{Mg}(\mathrm{OH})_2, \mathrm{Cd}(\mathrm{OH})_2, {Al}(\mathrm{OH})_3 and Zn(OH)2\mathrm{Zn}(\mathrm{OH})_2 are 4×10−11,8×10−6,8.5×10−234 \times 10^{-11}, 8 \times 10^{-6},8.5 \times 10^{-23} and 1.8×10−14,1.8 \times 10^{-14}, respectively. The cation that will precipitate first as hydroxide, on adding limited quantity of NH4OH\mathrm{NH}_4 \mathrm{OH} in a solution containing equimolar amount of metal cations, is
View answer and explanation
Correct option: A
Al3+{Al}^{3+}
Option A (Al3+) is correct because Al(OH)3 has the lowest Ksp, and therefore requires the lowest [OH-] concentration to precipitate.
483 Medium
483 of 680
Application +4 | -1
The pH\mathrm{pH} of a buffer solution containing 2.0 mol2.0 \mathrm{~mol} per litre CH3COONa\mathrm{CH}_3 \mathrm{COONa} and 1.5 mol1.5 \mathrm{~mol} per litre CH3COOH\mathrm{CH}_3 \mathrm{COOH} is: (Ka\left(K_a\right. for acetic acid is 1.8×10−51.8 \times 10^{-5} )
View answer and explanation
Correct option: A
4.874.87
Option A (4.87) is correct because the pH of the buffer solution is calculated using the Henderson-Hasselbalch equation.
484 Hard
484 of 680
Analyzing +4 | -1
Assertion : In the titration of Na2CO3{Na}_2 {CO}_3 with HCl{HCl} using methyl orange indicator, the volume required at the equivalence point is twice that of the acid required using phenolphthalein indicator.

Reason : Two moles of HCl{HCl} are required for the complete neutralization of one mole of Na2CO3{Na}_2 {CO}_3
View answer and explanation
Correct option: B
If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
The correct answer is B (If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion) because both the assertion and the reason are true statements about the titration of sodium carbonate with hydrochloric acid, but the reason does not directly explain the assertion's observation regarding the volume difference with different indicators.
485 Medium
485 of 680
Application +4 | -1
The pKb{pK}_{{b}} value of ammonium hydroxide is 4.75. An aqueous solution of ammonium hydroxide is titrated with HCl{HCl}. The pH{pH} of the solution at the point where half of ammonium hydroxide has been neutralised will be
View answer and explanation
Correct option: A
9.25
Option A (9.25) is correct because at half neutralization, pH = pKa, and pKa + pKb = 14.
486 Easy
486 of 680
Application +4 | -1
For the reaction, PCl3(g)+Cl2(g)PCl5(g)PC{l_3}(g) + C{l_2}(g)PC{l_5}(g) at 2500C{250^0}C, the value of KC{K_C} is 26, then the value of KP{K_P} at the same temperature will be
View answer and explanation
Correct option: A
0.61
Option A (0.61) is correct because it's the calculated Kp value using the given Kc and the relationship Kp = Kc(RT)^Δn.
487 Medium
487 of 680
Understanding +4 | -1
For the gaseous phase reaction, 2NO⇋N2+O22NO\leftrightharpoons{N_2} + \mathrm{ }{O_2}, ΔH∘=−43.5  k  cal  mol−1,\Delta {H^ \circ } = \mathrm{ } - \mathrm{ }43.5\mathrm{ }\;k\;cal\mathrm{ }\;mo{l^{ - 1}},  which statement is correct for, N2(g)+O2(g)⇋2NO(g)?{N_2}\left( g \right)\mathrm{ } + \mathrm{ }{O_2}\left( g \right)\mathrm{ }\leftrightharpoons\mathrm{ }2NO\left( g \right)?
View answer and explanation
Correct option: C
KK decreases as temperature decreases
Option C (KK decreases as temperature decreases) is correct because the reverse reaction (formation of NO) is endothermic, so decreasing the temperature will shift the equilibrium to the left, decreasing K.
488 Easy
488 of 680
Remembering +4 | -1
Tetramine copper (II) sulphate is an example of:
View answer and explanation
Correct option: C
Complex salt
Option C (Complex salt) is correct because tetramine copper(II) sulphate, [Cu(NH3)4]SO4, contains a complex ion, [Cu(NH3)4]2+, which does not dissociate into simple ions in solution.
489 Medium
489 of 680
Application +4 | -1
For the reaction A( g)+3B( g)⇌2C( g)A({~g})+3 B({~g}) \rightleftharpoons 2 C({~g}) at 27∘C,227^{\circ} {C}, 2 moles of A,4A, 4 moles of BB and 6 moles of CC are present in 2 litre vessel. If KcK_c for the reaction is 1.2 , the reaction will proceed in :
View answer and explanation
Correct option: A
forward direction
Option A (forward direction) is correct because the reaction quotient Qc is less than Kc, indicating that the reaction will shift towards the products to reach equilibrium.
490 Medium
490 of 680
Analyzing +4 | -1
Consider the reactions
(i) CO(g)+H2O(g)⇌K1CO2(g)+H2(g)\mathrm{CO}(g)+\mathrm{H}_2 \mathrm{O}(g) \stackrel{K_1}{\rightleftharpoons} \mathrm{CO}_2(g)+\mathrm{H}_2(g)
(ii) CH4(g)+H2O(g)⇌K2CO(g)+3H2(g)\mathrm{CH}_4(g)+\mathrm{H}_2 \mathrm{O}(g) \stackrel{K_2}{\rightleftharpoons} \mathrm{CO}(g)+3 \mathrm{H}_2(g)

(iii) CH4(g)+2H2O(g)⇌K3CO2(g)+4H2(g)\mathrm{CH}_4(g)+2 \mathrm{H}_2 \mathrm{O}(g) \stackrel{K_3}{\rightleftharpoons} \mathrm{CO}_2(g)+4 \mathrm{H}_2(g)

Which of the following is correct relation?
View answer and explanation
Correct option: C
K3=K1⋅K2K_3=K_1 \cdot K_2
Option C (K3=K1⋅K2K_3=K_1 \cdot K_2) is correct. Reaction (iii) is the sum of reactions (i) and (ii), so its equilibrium constant is the product of the equilibrium constants of (i) and (ii).
491 Easy
491 of 680
Analyzing +4 | -1
Aqueous solution of which salt has the lowest pHpH?
View answer and explanation
Correct option: B
NH4Cl\mathrm{N}{\mathrm{H}_4}\mathrm{Cl}
Option B (NH4Cl\mathrm{N}{\mathrm{H}_4}\mathrm{Cl}) has the lowest pH because it is an acidic salt due to the hydrolysis of NH4+\mathrm{NH}_4^+.
492 Easy
492 of 680
Analyzing +4 | -1
Statement I: For the reaction A(g)⇌B(g),\mathrm{A}(\mathrm{g}) \rightleftharpoons \mathrm{B}(\mathrm{g}), equilibrium moles of A\text{A} and B\text{B} are, respectively, 'aa' and ' bb ' in 1 L1 \mathrm{~L} container. If 5 moles of A\mathrm{A} and 3 moles of B\mathrm{B} are added, then reaction must move in forward direction.

Statement II: Even if the amount of reactant added to a system at equilibrium is more than the amount of product added at the same time, the equilibrium can shift in any direction.
View answer and explanation
Correct option: D
If Statement I is INCORRECT, but Statement II is CORRECT
The correct answer is D (If Statement I is INCORRECT, but Statement II is CORRECT) because the direction of equilibrium shift depends on the relative values of a and b, and Statement II correctly states that the equilibrium can shift in any direction.
493 Easy
493 of 680
Application +4 | -1
What is the pH\mathrm{pH} of the resulting solution when equal volumes of 0.1 m NaOH and 0.01 M HCl0.1\,m\,NaOH\,and\,0.01\,M\,HCl are mixed?
View answer and explanation
Correct option: C
12.65\mathrm{12}\mathrm{.65}
Option C (12.65) is correct because after mixing equal volumes of NaOH and HCl, the resulting solution is basic, and the pH is calculated based on the excess hydroxide ions.
494 Easy
494 of 680
Understanding +4 | -1
For the hypothetical reaction, A(g)⇌B(g)+C(g)A(g) \rightleftharpoons B(g)+C(g) the correct relation between Kp{Kp} and Kc{Kc} at 12.18 Kelvin12.18 \mathrm{~Kelvin} is
View answer and explanation
Correct option: A
Kp=Kc{Kp}={Kc}
Option A (Kp=Kc{Kp}={Kc}) is correct because the change in the number of moles of gas (Δng\Delta n_g) is zero, making Kp{Kp} equal to Kc{Kc}.
495 Medium
495 of 680
Application +4 | -1
Of the following which change will shift the reaction towards the product?

I2( g)⇌2I(g),ΔHr0(298 K)=+150 kJ{I}_2({~g}) \rightleftharpoons 2 {I}({g}), \Delta H_r^0(298 {~K})=+150 {~kJ}
View answer and explanation
Correct option: C
Increase in temperature
Option C (Increase in temperature) is correct because the reaction is endothermic, and increasing the temperature favors the forward reaction, shifting the equilibrium towards the product.
496 Medium
496 of 680
Understanding +4 | -1
Which of the following ions can exist in solution?
View answer and explanation
Correct option: D
all of these
Option D (all of these) is correct because all the listed ions, H3O+\mathrm{H}_3 \mathrm{O}^{+}, H3O2−\mathrm{H}_3 \mathrm{O}_2^{-}, and H5O2+\mathrm{H}_5 \mathrm{O}_2^{+}, can exist in solution.
497 Medium
497 of 680
Application +4 | -1
In a 5.76 L5.76 \mathrm{~L} vessel, 0.5 moles of H2\mathrm{H}_2 gas and 0.5 moles of I2\mathrm{I}_2 vapours are allowed to react to form HI(g)\mathrm{HI}(\mathrm{g}) at 447∘C,447^{\circ} \mathrm{C}, then the total pressure of gases at equilibrium would be (R=0.08 L−atm/K−mol)(R=0.08 \mathrm{~L}-\mathrm{atm} / \mathrm{K}-\mathrm{mol})
View answer and explanation
Correct option: B
10 atm10 \mathrm{~atm}
Option B (10 atm) is correct because the total pressure at equilibrium is calculated using the ideal gas law, considering that the number of moles remains constant due to Δng=0\Delta n_g = 0.
498 Medium
498 of 680
Application +4 | -1
If solubility of gas 'x' in water is 0.5 g/L at 1 bar pressure then solubility at 4 bar pressure will be
View answer and explanation
Correct option: B
2 g/L
Option B (Al{Al}) is correct because Aluminum is more reactive than Zinc and will displace Zinc from the ZnCl2 solution.
499 Hard
499 of 680
Analyzing +4 | -1
The concentration of CH3COO−{CH}_3 {COO}^{-} ion in a solution prepared by adding 0.1 mole of CH3COOAg(s){CH}_3 {COOAg}(\mathrm{s}) in 1 L of 0.1 M−HCl0.1 \mathrm{~M}-{HCl} solution is [Given: Ka(CH3COOH)=10−5;Ksp(AgCl)=10−10;Ksp(CH3COOAg)=10−8]\left[\text{Given: }K_{\mathrm{a}}\left({CH}_3 {COOH}\right)=10^{-5} ; K_{\mathrm{sp}}({AgCl})=10^{-10} ; K_{\mathrm{sp}}\left({CH}_3 {COOAg}\right)=10^{-8}\right]
View answer and explanation
Correct option: B
10−2M10^{-2} \mathrm{M}
Option B (10−210^{-2} M) is correct because after the reaction with HCl, the concentration of CH3COO- is determined by the equilibrium established with CH3COOH and H+.
500 Hard
500 of 680
Understanding +4 | -1
When NaNO3{NaNO}_3 is heated in a closed vessel, oxygen is liberated and NaNO2{NaNO}_2 is left behind, then which of the following statements is correct at equilibrium?

NaNO3( s)⇌NaNO2( s)+12O2( g),ΔH=+ve{NaNO}_3({~s}) \rightleftharpoons {NaNO}_2({~s})+\frac{1}{2} {O}_2({~g}), \Delta {H}=+{ve}
View answer and explanation
Correct option: C
Increase in temperature favours forward reaction
Option C (Increase in temperature favours forward reaction) is correct because the reaction is endothermic (ΔH=+ve\Delta H = +ve), so increasing the temperature will shift the equilibrium towards the products according to Le Chatelier's principle.
501 Medium
501 of 680
Analyzing +4 | -1
Statement I 1 mole A(g)A(g) and 1 mole B(g)B(g) give 0.5 mole of C(g)C(g) and 0.5 mole D(g)D(g) at equilibrium.

A(g)+B(g)⇌C(g)+D(g)A(g)+B(g) \rightleftharpoons C(g)+D(g)

On taking 2 moles each of A(g)A(g) and B(g)B(g), percentage dissociation A(g)A(g) and B(g)B(g) is also doubled.

Statement II Equilibrium constant, Kc=1K_c=1
View answer and explanation
Correct option: D
Statement II is incorrect but Statement I is correct
Option C (ΔGreaction ∘<0,Ecell <0\Delta \mathrm{G}_{\text {reaction }}^{\circ} < 0, \mathrm{E}_{\text {cell }} < 0) is correct because the standard Gibbs free energy change is negative, indicating spontaneity under standard conditions, but the cell potential is negative under the given non-standard conditions.
502 Easy
502 of 680
Application +4 | -1
The pH\mathrm{pH} of M100Ca(OH)2\frac{\mathrm{M}}{100} \mathrm{Ca}(\mathrm{OH})_2 is
View answer and explanation
Correct option: C
12.30112.301
Option C (12.30112.301) is correct because the pOH is calculated from the hydroxide concentration, and then pH is found using pH + pOH = 14.
503 Easy
503 of 680
Application +4 | -1
The pH\mathrm{pH} of 0.1  M  HCl0.1\;M\;\mathrm{HCl} is approximately 1. The approximate pH\mathrm{pH} of 0.05  M  H2SO40.05\;M\;{\mathrm{H}_2}\mathrm{S}{\mathrm{O}_4} is:
View answer and explanation
Correct option: C
1
Option C (1) is correct because the normality of H2SO4 is 0.1, resulting in a [H+] concentration of 0.1 and a pH of 1.
504 Medium
504 of 680
Application +4 | -1
Determine the degree of dissociation of 0.05 M NH4OH0.05 \mathrm{~M} \, {NH}_4 {OH} at 25∘C25^{\circ} \mathrm{C} in a solution of pH=10\mathrm{pH}=10.
View answer and explanation
Correct option: A
0.2%0.2 \%
Option A (0.2 %) is correct because it is the degree of dissociation calculated using the given pH and concentration of NH4OH.
505 Medium
505 of 680
Analyzing +4 | -1
In 2HI(g)⇌H2(g)+I2(g),22 \mathrm{HI}(\mathrm{g}) \rightleftharpoons \mathrm{H}_2(\mathrm{g})+\mathrm{I}_2(\mathrm{g}), 2 mole HI,4 mole H2\mathrm{HI}, 4 \mathrm{~mole}\, \mathrm{H}_2 and 4 mole of I2\mathrm{I}_2 are found at equilibrium. If some hydrogen is now introduced into the container such that at equilibrium concentration of HI\mathrm{HI} and I2\mathrm{I}_2 become equal. Find the Number of mole of H2\mathrm{H}_2 added.
View answer and explanation
Correct option: D
None of these
Option D is correct because the number of moles of H2 added to make the concentrations of HI and I2 equal is not among the provided options. The equilibrium constant is calculated correctly, and the subsequent calculations lead to a value not listed in the options.
506 Medium
506 of 680
Application +4 | -1
Nitric oxide reacts with bromine and give nitrosyl bromide as per the reaction given below.

2NO(g)+Br2(g)⇌2NOBr(g)2 \mathrm{NO}(\mathrm{g})+\mathrm{Br}_2(\mathrm{g}) \rightleftharpoons 2 \mathrm{NOBr}(\mathrm{g})

when 0.087 mol of NO and 0.0437 mol of Br2\mathrm{Br}_2 are mixed in a closed container at constant temperature, 0.0518 mol of NOBr is obtained at equilibrium. Calculate the equilibrium amount of nitric oxide:
View answer and explanation
Correct option: B
0.0352 mol
Option B (0.0352 mol) is correct because it is calculated by subtracting the change in moles of NO from the initial moles of NO at equilibrium.
507 Easy
507 of 680
Understanding +4 | -1
For the reaction: NH4HS(s)⇌NH3(g)+H2S(g)\mathrm{NH}_4 \mathrm{HS{(s})} \rightleftharpoons \mathrm{NH}_{3}(\mathrm{g})+\mathrm{H}_2 \mathrm{S{(g})}
The unit of Kp\mathrm{Kp} for the reactions is
View answer and explanation
Correct option: C
atm2\mathrm{atm}^{2}
The correct answer is C (atm²) because the unit of Kp is (atm)^Δng, and Δng = 2 for this reaction.
508 Medium
508 of 680
Analyzing +4 | -1
At 25∘C25^\circ C, the equilibrium K1,K2{K_1},{K_2} and K3{K_3} of three reactions are :

N2+3H2  ⇋  2NH3;  K1{\mathrm{N}_2} + 3{\mathrm{H}_2}\;\leftrightharpoons\;2\mathrm{N}{\mathrm{H}_3};\;{K_1}

N2+O2  ⇋  2NO;  K2{\mathrm{N}_2} + {\mathrm{O}_2}\;\leftrightharpoons\;2\mathrm{NO};\;{K_2}

H2+12O2  ⇋  H2O;  K3{\mathrm{H}_2} + \frac{1}{2}{\mathrm{O}_2}\;\leftrightharpoons\;{\mathrm{H}_2}\mathrm{O};\;{K_3}

The equilibrium constants for the oxidation of NH3\mathrm{N}{\mathrm{H}_3} by oxygen to give NO\mathrm{NO} is :
View answer and explanation
Correct option: D
K2K33/K1{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 oxidation of ammonia to nitric oxide, derived from the given equilibrium constants.
509 Medium
509 of 680
Application +4 | -1
0.365  g0.365\;g of HCl\mathrm{HCl} gas was passed through 100  cm3100\;\mathrm{c}{\mathrm{m}^3} of 0.2  M  NaOH0.2\;M\;\mathrm{NaOH} solution. The pHpH of the resulting solution would be
View answer and explanation
Correct option: D
13
Option D (13) is correct because after the reaction between HCl and NaOH, the remaining NaOH determines the pOH, which is then used to calculate the pH.
510 Easy
510 of 680
Understanding +4 | -1
The KC{K_C} for H2(g)+I2(g)2HI(g){H_2}(g) + {I_2}(g)2HI(g) is 64, if the volume of the container is reduced to one-half of its
original volume, the value of equilibrium constant will be
View answer and explanation
Correct option: B
64
Option B (64) is correct because the equilibrium constant, Kc, is independent of volume changes for the given reaction.
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