Chemistry Objective Questions and Answers: Chemical Kinetics
Access targeted multiple-choice questions for Chemical Kinetics designed to align with the latest JEE academic syllabus for JEE Chemistry. These objective practice sets help students evaluate their conceptual understanding and improve exam readiness.
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View or download the dedicated Chemical Kinetics MCQ resource below. Practicing these 50 objective questions regularly builds familiarity with standard exam patterns and helps secure higher marks in final Chemistry evaluations.
Multiple Choice Questions
(a) \( 1\times10^{-4} \) mol L\(^{-1}\) s\(^{-1}\)
(b) \( 3\times10^{-4} \) mol L\(^{-1}\) s\(^{-1}\)
(c) \( 2\times10^{-4} \) mol L\(^{-1}\) s\(^{-1}\)
(d) \( 6\times10^{-4} \) mol L\(^{-1}\) s\(^{-1}\)
Show Answer & Explanation
Answer: (b) \( 3\times10^{-4} \) mol L\(^{-1}\) s\(^{-1}\)
Explanation:
1. Rate of reaction \( = \dfrac{1}{2}\dfrac{d[NH_3]}{dt} = -\dfrac{1}{3}\dfrac{d[H_2]}{dt} = -\dfrac{d[N_2]}{dt} \).
2. Rate of reaction \( = 1\times10^{-4} \) mol L\(^{-1}\) s\(^{-1}\), so rate of disappearance of \( H_2 = 3\times1\times10^{-4} = 3\times10^{-4} \).
Teacher's Note:
1. Divide the rate of change of each species by its stoichiometric coefficient to get the rate of reaction. For N2 the answer would be 1 x 10-4.
(a) 8 times
(b) 4 times
(c) 6 times
(d) 16 times
Show Answer & Explanation
Answer: (a) 8 times
Explanation:
1. Rate \( = k[A][B]^2[C]^0 \).
2. Doubling all concentrations gives rate \( = k(2A)(2B)^2 = 8\,k[A][B]^2 \).
3. The rate increases 8 times.
Teacher's Note:
1. Zero-order components do not change the rate. Multiply 2 to the power of each order for the others.
(a) 9 times
(b) 3 times
(c) 81 times
(d) 27 times
Show Answer & Explanation
Answer: (d) 27 times
Explanation:
1. Rate \( = k[A]^2[B_2] \) for an elementary reaction.
2. Reducing the volume to one third triples every concentration.
3. New rate \( = k(3A)^2(3B_2) = 27\,k[A]^2[B_2] \).
Teacher's Note:
1. For an elementary reaction the orders equal the coefficients, so the total order is 3 and the factor is 3 cubed.
(a) \( 3.6\times10^{-3} \) mol L\(^{-1}\) s\(^{-1}\)
(b) \( 9\times10^{-4} \) mol L\(^{-1}\) s\(^{-1}\)
(c) \( 5.4\times10^{-3} \) mol L\(^{-1}\) s\(^{-1}\)
(d) \( 1.08\times10^{-2} \) mol L\(^{-1}\) s\(^{-1}\)
Show Answer & Explanation
Answer: (c) \( 5.4\times10^{-3} \) mol L\(^{-1}\) s\(^{-1}\)
Explanation:
1. Rate of formation of NO \( = 1.08\times10^{-2}/3 = 3.6\times10^{-3} \).
2. Rate of reaction \( = 3.6\times10^{-3}/4 = 9\times10^{-4} \).
3. Rate of formation of \( H_2O = 6\times9\times10^{-4} = 5.4\times10^{-3} \) mol L\(^{-1}\) s\(^{-1}\).
Teacher's Note:
1. Find the rate of reaction first, then multiply by the coefficient of the species asked.
(a) \( \dfrac{1}{3} \)
(b) \( \dfrac{1}{6} \)
(c) \( \dfrac{1}{4} \)
(d) \( \dfrac{1}{8} \)
Show Answer & Explanation
Answer: (b) \( \dfrac{1}{6} \)
Explanation:
1. When 0.2 atm of C forms, A used = 0.2 atm and B used = 0.4 atm.
2. So \( P_A = 0.4 \) and \( P_B = 0.4 \) atm.
3. Rate ratio \( = \dfrac{0.4\times(0.4)^2}{0.6\times(0.8)^2} = \dfrac{0.064}{0.384} = \dfrac{1}{6} \).
Teacher's Note:
1. Use stoichiometry to update the partial pressures and then substitute in the rate law of the elementary step.
(a) 7.2 M
(b) 0.72 M
(c) 12 M
(d) 3.6 M
Show Answer & Explanation
Answer: (a) 7.2 M
Explanation:
1. For zero order, \( [B] = kt = 1.2\times10^{-2}\times600 = 7.2 \) M.
2. This is less than 10 M, so A is not exhausted.
Teacher's Note:
1. Convert minutes to seconds before using k in M per second. After 20 minutes the reaction would be complete, since 14.4 M cannot form from 10 M.
(a) 0.50 M
(b) 0.25 M
(c) 1.00 M
(d) 0.75 M
Show Answer & Explanation
Answer: (d) 0.75 M
Explanation:
1. \( [A]_0 - [A] = kt = 2\times10^{-2}\times25 = 0.5 \) M.
2. \( [A]_0 = 0.25 + 0.50 = 0.75 \) M.
Teacher's Note:
1. For zero order the concentration falls linearly with time.
(a) 1.0 hour
(b) 1.5 hours
(c) 1.2 hours
(d) 0.9 hours
Show Answer & Explanation
Answer: (c) 1.2 hours
Explanation:
1. Zero order: amount reacted is proportional to time, so 75% in 1 h gives 75 units per hour.
2. 10% unreacted means 90% reacted, \( t = 90/75 = 1.2 \) h.
Teacher's Note:
1. For zero order the percentage reacted is linear in t, unlike first order.
(a) 144 min
(b) 108 min
(c) 90 min
(d) 96 min
Show Answer & Explanation
Answer: (b) 108 min
Explanation:
1. 75% completion takes two half-lives, so \( t_{1/2} = 36 \) min.
2. 87.5% completion takes three half-lives \( = 3\times36 = 108 \) min.
Teacher's Note:
1. Count half-lives: 50% is 1, 75% is 2, 87.5% is 3, 93.75% is 4.
(a) 62 min
(b) 31 min
(c) 46 min
(d) 100 min
Show Answer & Explanation
Answer: (a) 62 min
Explanation:
1. \( k = \dfrac{2.303}{10}\log\dfrac{100}{80} = 0.0223 \) min\(^{-1}\).
2. \( t = \dfrac{2.303}{0.0223}\log\dfrac{100}{25} = \dfrac{1.386}{0.0223} \approx 62 \) min.
Teacher's Note:
1. Always use remaining amount in the log: 80 for the first part and 25 for the second.
(a) 462 s
(b) 1848 s
(c) 693 s
(d) 924 s
Show Answer & Explanation
Answer: (d) 924 s
Explanation:
1. 5.0 g to 1.25 g is two half-lives (5.0 to 2.5 to 1.25).
2. \( t_{1/2} = 0.693/1.5\times10^{-3} = 462 \) s, so \( t = 2\times462 = 924 \) s.
Teacher's Note:
1. Spot the number of half-lives before doing any calculation.
(a) 20 months
(b) 30 months
(c) 41 months
(d) 60 months
Show Answer & Explanation
Answer: (c) 41 months
Explanation:
1. \( k = \dfrac{2.303}{20}\log\dfrac{500}{420} = 8.72\times10^{-3} \) month\(^{-1}\).
2. Expiry when 70% remains: \( t = \dfrac{2.303}{k}\log\dfrac{100}{70} = \dfrac{0.3567}{8.72\times10^{-3}} \approx 41 \) months.
Teacher's Note:
1. Expiry means 30% decomposed, which leaves 70% of the original concentration.
(a) 22.4%
(b) 11.2%
(c) 5.6%
(d) 88.8%
Show Answer & Explanation
Answer: (b) 11.2%
Explanation:
1. \( t = 90\times60 = 5400 \) s, so \( kt = 0.1188 \).
2. Fraction left \( = e^{-0.1188} = 0.888 \).
3. Decomposed = 11.2%.
Teacher's Note:
1. Convert minutes to seconds. For small kt the decomposed fraction is close to kt.
(a) rate \( = k[NO]^2[H_2] \), order 3
(b) rate \( = k[NO][H_2] \), order 2
(c) rate \( = k[NO][H_2]^2 \), order 3
(d) rate \( = k[NO]^2[H_2]^2 \), order 4
Show Answer & Explanation
Answer: (a) rate \( = k[NO]^2[H_2] \), order 3
Explanation:
1. Rows 1 and 2: [H\(_2\)] halves, rate halves, so order in \( H_2 \) is 1.
2. Rows 2 and 3: [NO] doubles, rate becomes 4 times, so order in NO is 2.
3. Rate \( = k[NO]^2[H_2] \), overall order 3.
Teacher's Note:
1. Change one concentration at a time and compare the rates.
(a) \( 4.4\times10^{-4} \) M s\(^{-1}\)
(b) \( 8.9\times10^{-4} \) M s\(^{-1}\)
(c) \( 1.8\times10^{-2} \) M s\(^{-1}\)
(d) \( 8.9\times10^{-3} \) M s\(^{-1}\)
Show Answer & Explanation
Answer: (d) \( 8.9\times10^{-3} \) M s\(^{-1}\)
Explanation:
1. From the first row, \( k = \dfrac{4.4\times10^{-4}}{(1.5\times10^{-4})^2(4\times10^{-3})} = 4.89\times10^{6} \) M\(^{-2}\) s\(^{-1}\).
2. Rate \( = 4.89\times10^6\times(1.1\times10^{-3})^2\times(1.5\times10^{-3}) = 8.9\times10^{-3} \) M s\(^{-1}\).
Teacher's Note:
1. Find k from any data row, then substitute the new concentrations.
(a) 0.128 M s\(^{-1}\)
(b) 0.064 M s\(^{-1}\)
(c) 0.256 M s\(^{-1}\)
(d) 1.024 M s\(^{-1}\)
Show Answer & Explanation
Answer: (c) 0.256 M s\(^{-1}\)
Explanation:
1. Tripling \( [Cl_2] \) triples the rate, so first order in \( Cl_2 \). Tripling [NO] raises the rate 9 times, so second order in NO.
2. \( k = \dfrac{1\times10^{-3}}{(0.05)^2(0.05)} = 8 \) L\(^2\) mol\(^{-2}\) s\(^{-1}\).
3. Rate \( = 8\times(0.4)^2\times0.2 = 0.256 \) M s\(^{-1}\).
Teacher's Note:
1. Orders come from ratios of rates; k then comes from any single row.
(a) \( 2.62\times10^{-2} \) min\(^{-1}\)
(b) \( 1.31\times10^{-2} \) min\(^{-1}\)
(c) \( 6.5\times10^{-3} \) min\(^{-1}\)
(d) \( 1.31\times10^{-3} \) min\(^{-1}\)
Show Answer & Explanation
Answer: (b) \( 1.31\times10^{-2} \) min\(^{-1}\)
Explanation:
1. Half life is 53 min. If the reaction were zero order, 73% in 100 min would not fit; for first order 73% needs 1.9 half-lives \( = 100 \) min, which fits.
2. \( k = 0.693/53 = 1.31\times10^{-2} \) min\(^{-1}\).
Teacher's Note:
1. Check order by comparing times for 50% and 75% (for first order they differ by a factor of 2).
(a) \( 2.8\times10^{-3} \) M s\(^{-1}\)
(b) \( 1.4\times10^{-3} \) M s\(^{-1}\)
(c) \( 5.6\times10^{-3} \) M s\(^{-1}\)
(d) \( 2.8\times10^{-2} \) M s\(^{-1}\)
Show Answer & Explanation
Answer: (a) \( 2.8\times10^{-3} \) M s\(^{-1}\)
Explanation:
1. Rows 1 and 3: A rises 5 times, rate rises 5 times, so first order in A.
2. Rows 3 and 4: B rises 5 times, rate rises 5 times, so first order in B.
3. \( k = 4\times10^{-4}/(0.1\times0.1) = 4\times10^{-2} \) M\(^{-1}\) s\(^{-1}\); rate \( = 4\times10^{-2}\times0.2\times0.35 = 2.8\times10^{-3} \).
Teacher's Note:
1. Check the answer against row 2 as well: 0.04 x 0.2 x 0.2 = 1.6 x 10-3.
(a) first order, 5 Pa s\(^{-1}\)
(b) zero order, 50 Pa s\(^{-1}\)
(c) first order, 1.3 x 10\(^{-3}\) s\(^{-1}\)
(d) zero order, 5 Pa s\(^{-1}\)
Show Answer & Explanation
Answer: (d) zero order, 5 Pa s\(^{-1}\)
Explanation:
1. The pressure falls by 500 Pa in every 100 s, a constant amount per unit time, so the reaction is zero order.
2. \( k = 500/100 = 5 \) Pa s\(^{-1}\).
Teacher's Note:
1. A constant decrease per equal time interval is the signature of zero order.
(a) one
(b) two
(c) zero
(d) three
Show Answer & Explanation
Answer: (c) zero
Explanation:
1. For order n, \( t_{1/2}\propto a^{1-n} \).
2. Half life is proportional to initial concentration, so \( 1-n = 1 \) and \( n = 0 \).
Teacher's Note:
1. Zero order: half life proportional to a. First order: independent of a. Second order: inversely proportional to a.
(a) \( 2.6\times10^{-5} \) M s\(^{-1}\)
(b) \( 1.56\times10^{-5} \) M s\(^{-1}\)
(c) \( 4.7\times10^{-6} \) M s\(^{-1}\)
(d) \( 5.2\times10^{-5} \) M s\(^{-1}\)
Show Answer & Explanation
Answer: (b) \( 1.56\times10^{-5} \) M s\(^{-1}\)
Explanation:
1. Concentration rises 1.5 times and the rate rises 1.5 times, so the reaction is first order.
2. \( k = 5.2\times10^{-5}/6.0\times10^{-3} = 8.67\times10^{-3} \) s\(^{-1}\).
3. Rate \( = 8.67\times10^{-3}\times1.8\times10^{-3} = 1.56\times10^{-5} \) M s\(^{-1}\).
Teacher's Note:
1. The rate is directly proportional to concentration for first order.
(a) 166 min
(b) 100 min
(c) 150 min
(d) 200 min
Show Answer & Explanation
Answer: (a) 166 min
Explanation:
1. \( k = 0.693/50 \) min\(^{-1}\).
2. \( t = \dfrac{2.303}{k}\log 10 = \dfrac{2.303\times50}{0.693} \approx 166 \) min.
Teacher's Note:
1. For 90% completion t is 3.32 times t half.
(a) \( 2.31\times10^{5} \) s
(b) \( 1.04\times10^{-6} \) s
(c) \( 9.24\times10^{5} \) s
(d) \( 4.62\times10^{5} \) s
Show Answer & Explanation
Answer: (d) \( 4.62\times10^{5} \) s
Explanation:
1. \( t_{1/2} = 0.693/k = 0.693/(1.5\times10^{-6}) = 4.62\times10^5 \) s.
Teacher's Note:
1. This is about 128 hours.
(a) 7 h
(b) 21 h
(c) 14 h
(d) 4.2 h
Show Answer & Explanation
Answer: (c) 14 h
Explanation:
1. \( t = t_{1/2}\times\log_2 100 = 2.1\times6.64 \approx 13.95 \) h.
Teacher's Note:
1. 99% completion needs 6.64 half-lives.
(a) 0.224 L
(b) 2.2176 L
(c) 22.4 L
(d) 1.108 L
Show Answer & Explanation
Answer: (b) 2.2176 L
Explanation:
1. Moles of \( NH_2NO_2 = 6.2/62 = 0.1 \).
2. Moles decomposed \( = 0.099 \), so moles of \( N_2O = 0.099 \).
3. Volume \( = 0.099\times22.4 = 2.2176 \) L.
Teacher's Note:
1. One mole of N2O is formed per mole of nitramide, and water is a liquid so it adds no gas volume.
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Practice MCQs for JEE Chemistry Chemical Kinetics
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