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JEE • CHEMISTRY • Equilibrium

Equilibrium practice · Mixed difficulty

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271 Medium
271 of 680
Application +4 | -1
4 mole of AA are mixed with 4 mol of BB, when 2 mole of CC are formed at equilibrium according to the reaction A+B ⇋ C+DA + B\,\leftrightharpoons\,C + D, Then equilibrium constant is
View answer and explanation
Correct option: B
1
Option B (1) is correct because the equilibrium constant is calculated using the initial moles and the moles at equilibrium.
272 Medium
272 of 680
Analyzing +4 | -1
STATEMENT-1 : For the reaction H2(g)+I2(g)⇌2HI(g)\mathrm{H}_2(g)+\mathrm{I}_2(g) \rightleftharpoons 2 \mathrm{HI}(g) if the volume of vessel is reduced to half of its original volume, equilibrium concentration of all gases will be doubled.

STATEMENT-2 : According to Le-Chatelier's principle, reaction shifts in a direction that tends to minimized the effect of the stress.
View answer and explanation
Correct option: B
If both the statements are TRUE but STATEMENT-2 is NOT the correct explanation of STATEMENT-1
Option B is correct because both statements are true, but Le Chatelier's principle doesn't directly explain the doubling of concentrations in this specific reaction.
273 Hard
273 of 680
Understanding +4 | -1
Ionisation of weak acid can be calculated by the formula
View answer and explanation
Correct option: C
Both (1) and (2)
Option C (Both (1) and (2)) is correct because both formulas are valid ways to calculate the ionization (or degree of dissociation) of a weak acid.
274 Easy
274 of 680
Understanding +4 | -1
H2O+H2O⇌H3O++OH−.{H_2}O + {H_2}O \rightleftharpoons {H_3}{O^ + } + O{H^ - }.
In this reaction water acts as
I. Bronsted acid
II. Bronsted base
III. Amphoteric oxide
View answer and explanation
Correct option: D
I, II, III
Option D (I, II, III) is correct because water can act as both a Bronsted acid and a Bronsted base (amphoteric) and is an amphoteric oxide.
275 Medium
275 of 680
Understanding +4 | -1
The ionic product of water at 25∘C25^{\circ} \mathrm{C} is 10−1410^{-14}. Its ionic product at 90∘C90^{\circ} \mathrm{C} will be
View answer and explanation
Correct option: D
1×10−121 \times 10^{-12}
Option D (1×10−121 \times 10^{-12}) is correct because the ionic product of water increases with temperature due to increased dissociation.
276 Hard
276 of 680
Application +4 | -1
What is the molar solubility of Al(OH)3Al{\left( {OH} \right)_3} in 0.2 M NaOH solution? Given that, solubility product of Al(OH)3=2.4×10−24Al{\left( {OH} \right)_3} = 2.4 \times {10^{ - 24}}
View answer and explanation
Correct option: C
3×10−223 \times {10^{ - 22}}
Option C (3×10−223 \times {10^{ - 22}}) is correct because it calculates the molar solubility of Al(OH)3Al(OH)_3 in a 0.2 M NaOH solution considering the common ion effect.
277 Medium
277 of 680
Analyzing +4 | -1
At 40∘C,40^{\circ} \mathrm{C}, the density of heavy water is 1.02 g/ml1.02 \mathrm{~g} / \mathrm{ml} and its ionic product is 5.1×10−15.5.1 \times 10^{-15}. Which of the following if the only incorrect information regarding heavy water at 40∘C?40^{\circ} \mathrm{C}?
View answer and explanation
Correct option: C
Its degree of dissociation is 10−810^{-8}
Option C (Its degree of dissociation is 10−810^{-8}) is correct because the degree of dissociation is calculated incorrectly.
278 Hard
278 of 680
Analyzing +4 | -1
Given, pKbp K_b values
SpeciespKbNH34.74A−4.00B−5.00C−6.00\begin{array}{cccccccccccccccccccc} {{\text{Species}}}&{p{K_b}} \\ {N{H_3}}&{4.74} \\ {{A^ - }}&{4.00} \\ {{B^ - }}&{5.00} \\ {{C^ - }}&{6.00} \end{array}
queous solutions of 0.01M0.01 \mathrm{M} salts of HX\mathrm{HX}

(X=A,B,C)(X=A, B, C) and NH4OH\mathrm{NH}_4 \mathrm{OH} have pH\mathrm{pH} in the order
View answer and explanation
Correct option: B
NH4C<NH4B<NH4A\mathrm{NH}_4 {C} < \mathrm{NH}_4 B < \mathrm{NH}_4 A
Option B (NH4C<NH4B<NH4A\mathrm{NH}_4 {C} < \mathrm{NH}_4 B < \mathrm{NH}_4 A) is correct because the pH order is determined by the pKapK_a values of the corresponding acids.
279 Medium
279 of 680
Analyzing +4 | -1
The strongest base among the following is:
View answer and explanation
Correct option: A
CH3−\mathrm{CH}_3^ -
Option A (CH3−\mathrm{CH}_3^ -) is correct because CH4\mathrm{CH}_4 is the weakest acid among the conjugate acids, making its conjugate base the strongest.
280 Hard
280 of 680
Application +4 | -1
I2+I−⇌I3−\mathrm{I}_2+\mathrm{I}^{-} \rightleftharpoons \mathrm{I}_3^{-}This reaction is set-up in aqueous medium. We start with 1 mole of I2\mathrm{I}_2 and 0.5 mole of I−\mathrm{I}^{-}in 1 L1 \mathrm{~L} flask. After equilibrium is reached, excess of AgNO3\mathrm{AgNO}_3 gave 0.25 mole of yellow precipitate. equilibrium constant is
View answer and explanation
Correct option: A
1.33
Option A (1.33) is correct because the equilibrium constant is calculated based on the concentrations of the reactants and products at equilibrium.
281 Medium
281 of 680
Understanding +4 | -1
A: At higher temperature, Kw\mathrm{K}_{\mathrm{w}} of water remains unaltered.
R: Kw\mathrm{K_w} is a constant.
View answer and explanation
Correct option: D
If both A and R are incorrect
Option D (If both A and R are incorrect) is correct because the ion product of water (KwK_w) increases with temperature, and it is not a constant value.
282 Medium
282 of 680
Application +4 | -1
Solubility product of Mg(OH)2\mathrm{Mg}{\left( {\mathrm{OH}} \right)_2} at ordinary temperature is 1.96×10−111.96 \times {10^{ - 11}}. pH of a saturated solution of Mg(OH)2\mathrm{Mg}{\left( {\mathrm{OH}} \right)_2} will be
View answer and explanation
Correct option: A
10.5310.53
Option A (10.5310.53) is correct because it is calculated from the solubility product of Mg(OH)2\mathrm{Mg}{\left( {\mathrm{OH}} \right)_2} to find the hydroxide concentration and then the pH.
283 Hard
283 of 680
Application +4 | -1
The equilibrium NH4HS(s)⇌NH3(g)+H2S(g)\mathrm{NH}_4 \mathrm{HS}(\mathrm{s}) \rightleftharpoons \mathrm{NH}_3(\mathrm{g})+\mathrm{H}_2 \mathrm{S}(\mathrm{g}) is achieved at the equilibrium pressure of 'X\mathrm{X}' bar at T K.T \mathrm{~K}. The value of ΔrG∘\Delta_{\mathrm{r}} G^{\circ} for the reaction is
View answer and explanation
Correct option: C
−2RT(ln⁡X−ln⁡2)-2 R T(\ln \mathrm{X}-\ln 2)
Option C (-2RT(lnX-ln2)) is correct because the Gibbs free energy change is related to the equilibrium constant, which depends on the partial pressures of the products.
284 Medium
284 of 680
Application +4 | -1
At 500 K500 \mathrm{~K}, equilibrium constant, KCK_C, for the following reaction is 5. 12H2(g)+12I2(g)⇌HI(g)\frac{1}{2} \mathrm{H}_2(g)+\frac{1}{2} \mathrm{I}_2(g) \rightleftharpoons \mathrm{HI}(g) What would be the equilibrium constant KCK_C for the reaction? 2HI(g)⇌H2(g)+I2(g)2 \mathrm{HI}(g) \rightleftharpoons \mathrm{H}_2(g)+\mathrm{I}_2(g)
View answer and explanation
Correct option: A
0.04
Option A (0.04) is correct because the equilibrium constant for the reverse reaction is the inverse of the original equilibrium constant, and since the reaction is multiplied by 2, the equilibrium constant is squared.
285 Medium
285 of 680
Understanding +4 | -1
The interfering radicals interfere in the test of usual inorganic analysis after II group analysis due to:
View answer and explanation
Correct option: C
Their insoluble nature in alkaline medium
Option C (Their insoluble nature in alkaline medium) is correct because interfering radicals form insoluble compounds in alkaline medium, hindering the usual inorganic analysis after Group II.
286 Medium
286 of 680
Application +4 | -1
0.04  g0.04\;\mathrm{g} of pure NaOH\mathrm{NaOH} is dissolved in 10  litre10\;\mathrm{litre} of distilled water. The pH\mathrm{pH} of the solution is:
View answer and explanation
Correct option: B
10
Option B (10) is correct because it is calculated by first finding the molarity of the NaOH solution, then calculating the pOH, and finally determining the pH.
287 Medium
287 of 680
Understanding +4 | -1
A solution of Cu(NO3)2Cu{(N{O_3})_2} in water is acidic due to
View answer and explanation
Correct option: C
Hydrolysis
Option C (Hydrolysis) is correct because the acidity of the Cu(NO3)2Cu{(N{O_3})_2} solution is due to the hydrolysis of the Cu2+Cu^{2+} ion.
288 Medium
288 of 680
Understanding +4 | -1
H2O+H2O⇌H3O++OH−\mathrm{H}_2 \mathrm{O}+\mathrm{H}_2 \mathrm{O} \rightleftharpoons \mathrm{H}_3 \mathrm{O}^{+}+\mathrm{OH}^{-}In the reaction water acts as

I. Bronsted acid

II. Bronsted Base

III. Amphoteric oxide
View answer and explanation
Correct option: D
I, II, III
Option D (I, II, III) is correct because water can act as both a Bronsted acid (proton donor) and a Bronsted base (proton acceptor), making it amphoteric.
289 Medium
289 of 680
Application +4 | -1
HXHX is a weak acid Ka=10−5{K_a} = {10^{ - 5}}. It forms a salt NaXNaX (0.1M0.1\mathrm{ }M on reacting with caustic soda. The degree of hydrolysis of NaXNaX is
View answer and explanation
Correct option: A
0.01%0.01\mathrm{\% }
Option A (0.01%) is correct because it is the degree of hydrolysis calculated using the hydrolysis constant and the concentration of the salt.
290 Hard
290 of 680
Analyzing +4 | -1
A 50 ml50 \mathrm{~ml} of mixture of He,CO\mathrm{He}, \mathrm{CO} and C2H6\mathrm{C}_2 \mathrm{H}_6 was exploded in 120 ml120 \mathrm{~ml} of oxygen. On cooling, the gases occupied 142 ml142 \mathrm{~ml}. After treatment with KOH\mathrm{KOH} the volume reduced by 26 ml26 \mathrm{~ml} and again on treatment with alkaline pyrogallol the volume further reduced, then wrong one is ___
View answer and explanation
Correct option: D
V(CO\mathrm{V (CO} gas)=8 ml)=8 \mathrm{~ml}
Option D (V (CO gas) = 8 ml) is the wrong statement because the correct volume of CO gas is 6 ml.
291 Medium
291 of 680
Understanding +4 | -1
Assertion (A): The equilibrium (given below) attained in a closed vessel remains unaltered by the addition of CaCO3(s).\mathrm{CaCO}_{3(\mathrm{s})}.

CaCO3(s)⇌CaO(s)+CO2↑\mathrm{CaCO}_{3(\mathrm{s})} \rightleftharpoons \mathrm{CaO}_{(\mathrm{s})}+\mathrm{CO}_2 \uparrow

Reason (R): The active mass of a solid is a constant and independent of its mass and is always taken to be unity.
View answer and explanation
Correct option: A
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Option A (Both (A) & (R) are true and the (R) is the correct explanation of the (A)) is correct because the equilibrium is unaffected by adding more solid CaCO3 because the active mass of a solid is constant and equal to unity.
292 Medium
292 of 680
Application +4 | -1
For the decomposition of CaCO3(s){CaCO}_3({s}) at 1080 K1080 \mathrm{~K}, equilibrium constant is equal to 8.878.87 atmospheres. Equilibrium concentration of carbondioxide is equal to
View answer and explanation
Correct option: A
0.1 M0.1 \mathrm{~M}
The correct answer is A (0.1 M) because the equilibrium concentration of carbon dioxide is calculated using the ideal gas law and the given Kp value.
293 Hard
293 of 680
Application +4 | -1
The solubility of metal sulphide in saturated solution of H2S\mathrm{H}_2 \mathrm{S} (concentration =0.1 M=0.1 \mathrm{~M}) can be represented as follows.

MS(s)+2H+(aq)⇌M2+(aq)+H2S(aq);Keq=[M2+][H2S][H+]2\mathrm{MS}(\mathrm{s})+2 \mathrm{H}^{+}(\mathrm{aq}) \rightleftharpoons \mathrm{M}^{2+}(\mathrm{aq})+\mathrm{H}_2 \mathrm{S}(\mathrm{aq}) ; K_{\mathrm{eq}}=\frac{\left[\mathrm{M}^{2+}\right]\left[\mathrm{H}_2 \mathrm{S}\right]}{\left[\mathrm{H}^{+}\right]^2}

The values of KeqK_{\mathrm{eq}} for the metal sulphides, MnS, ZnS,CoS\text{MnS, } \mathrm{ZnS}, \mathrm{CoS} and PbS\mathrm{PbS} are 3×1010,3×10−2,33 \times 10^{10}, 3 \times 10^{-2}, 3 and 3×10−7,3\times 10^{-7}, respectively. If the concentration of each metal ion in a saturated solution of H2S\mathrm{H}_2 \mathrm{S} is 0.01 M,0.01 \, \mathrm{M}, then which metal sulphide(s) will precipitate at [H+]=1.0 M?\left[\mathrm{H}^{+}\right]=1.0 \mathrm{~M}?
View answer and explanation
Correct option: B
PbS\mathrm{PbS}
Option B (PbS) is correct because only PbS has a Keq value less than the calculated Q value, indicating precipitation.
294 Easy
294 of 680
Application +4 | -1
It you have saturated solution of CaF2Ca{F_2} then
View answer and explanation
Correct option: D
[Ca2+]=[KSp4]1/3\left[ {C{a^{2 + }}} \right] = {\left[ {\frac{{{K_{Sp}}}}{4}} \right]^{1/3}}
Option D (Ca2+]=KSp41/3Ca^{2+}] = \frac{{K_{Sp}}}{{4}}^{1/3}) is correct because it accurately represents the relationship between the calcium ion concentration and the solubility product for CaF₂.
295 Medium
295 of 680
Application +4 | -1
For the equilibrium,

Ag++2NH3⇌Ag(NH3)2+;K1=1.8×107{Ag}^{+}+2 {NH}_3 \rightleftharpoons {Ag}\left({NH}_3\right)_2^{+} ; K_1=1.8 \times 10^7
and Ag++Cl−⇌AgCl;K2=5.6×109\text {and } {Ag}^{+}+{Cl}^{-} \rightleftharpoons {AgCl} ; K_2=5.6 \times 10^9

Hence, for the equilibrium,

AgCl+2NH3⇌Ag(NH3)2++Cl−{AgCl}+2 {NH}_3 \rightleftharpoons {Ag}\left({NH}_3\right)_2^{+}+{Cl}^{-}

equilibrium constant is
View answer and explanation
Correct option: A
0.32×10−20.32 \times 10^{-2}
The correct answer is 0.32 × 10-2 because the equilibrium constant for the overall reaction is calculated by combining the equilibrium constants of the individual reactions.
296 Easy
296 of 680
Application +4 | -1
The pH of solution is increased from 3 to 6. Its H+\mathrm{H}^{+} ion conc. will be:
View answer and explanation
Correct option: C
Reduced by 1000 times
Option C (Reduced by 1000 times) is correct because each unit increase in pH represents a tenfold decrease in H+ ion concentration.
297 Medium
297 of 680
Analyzing +4 | -1
For the reaction 2H2+2NO⇌N2+2H2O2 {H}_2+2 {NO} \rightleftharpoons {N}_2+2 {H}_2 {O} the following mechanism has been suggested :

2NO⇌N2O2 [equilibrium constant =K1 (fast)] N2O2+H2→K2 N2O+H2O (slow) N2O+H2→K3 N2+H2O (fast) \begin{aligned} & 2 {NO} \rightleftharpoons {N}_2 {O}_2 \text { [equilibrium constant }=K_1 \text { (fast)] } \\ & {N}_2 {O}_2+{H}_2 \xrightarrow{{K}_2} {~N}_2 {O}+{H}_2 {O} \text { (slow) } \\ & {N}_2 {O}+{H}_2 \xrightarrow{{K}_3} {~N}_2+{H}_2 {O} \text { (fast) } \end{aligned}

According to following mechanism is correctly matched.
View answer and explanation
Correct option: D
−12d[NO]dt=K[NO]2[H2]-\frac{1}{2} \frac{d[{NO}]}{d t}=K[N O]^2\left[H_2\right] where K=K2×K1K=K_2 \times K_1
Option D is correct because the rate law derived from the slow step, considering the equilibrium of the fast step, matches the given rate expression.
298 Easy
298 of 680
Understanding +4 | -1
When a bottle of cold drink is opened the gas comes out with a fizzle due to:
View answer and explanation
Correct option: A
Decrease in pressure suddenly which results in a decrease in solubility of CO2C{O_2} gas in water
The correct answer is A (Decrease in pressure suddenly which results in a decrease in solubility of CO2C{O_2} gas in water) because the solubility of a gas in a liquid is directly proportional to the pressure above the liquid (Henry's Law).
299 Medium
299 of 680
Analyzing +4 | -1
The equilibrium,

P4(s)+6Cl2(g)  ⇋  4PCl3(g){\mathrm{P}_4}\left( s \right) + 6\mathrm{C}{\mathrm{l}_2}\left( \mathrm{g} \right)\;\leftrightharpoons\;4\mathrm{PC}{\mathrm{l}_3}\left( \mathrm{g} \right) attained by mixing equal moles of P4{\mathrm{P}_4} and Cl2\mathrm{C}{\mathrm{l}_2} in a evacuated vessel. Then, at equilibrium,
View answer and explanation
Correct option: C
[P4]>[Cl2]\left[ {{\mathrm{P}_4}} \right] > \left[ {\mathrm{C}{\mathrm{l}_2}} \right]
The correct answer is C ([P₄] > [Cl₂]) because, based on the stoichiometry of the reaction and the initial equal moles, more P₄ remains at equilibrium than Cl₂.
300 Hard
300 of 680
Application +4 | -1
The solubility of AgCl{AgCl} in water at 298 K298 \mathrm{~K} is 1.06×10−5 mol L−1.1.06 \times 10^{-5} \text{ mol L}^{-1}. The solubility product of AgCl{AgCl} at the same temperature was found to be p×10−q{p} \times 10^{-q}. The values of p{p} and q{q} are respectively
View answer and explanation
Correct option: C
1.12 and 10
Option C (1.12 and 10) is correct because the solubility product (Ksp) is calculated by squaring the solubility of AgCl, resulting in 1.12 × 10-10.
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