If the rate constant of a reaction is \(0.03 s^{-1}\), how much time does it take for \(7.2\text { mol L}^{-1}\) concentration of the reactant to get reduced to \(0.9~\text {mol L} ^{-1}?\)
(Given: log 2=0.301)
1. 210 s
2. 21.0 s
3. 69.3 s
4. 23.1 s
Subtopic:  First Order Reaction Kinetics |
 65%
Level 2: 60%+
NEET - 2025
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If the half-life \((t_{1/2})\) for a first order reaction is \(1~\text{minute}\), then the time required for \(99.9 \%\) completion of the reaction is closest to : 
1. \(5~\text{minutes}\)
2. \(10~\text{minutes}\)
3. \(2~\text{minutes}\)
4. \(4~\text{minutes}\)
Subtopic:  First Order Reaction Kinetics |
 67%
Level 2: 60%+
NEET - 2025
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What is the rate constant for a reaction if the time taken by the first-order decomposition of \(\text{SO}_2\text{Cl}_2\) to decompose to 40% is 560 seconds?
[Given: log 2.5 = 0.3979]
1. \(2.726 \times 10^{-5} \mathrm{~min}^{-1}\) 2. \(2.276 \times 10^{-5} \mathrm{~min}^{-1}\)
3. \(2.216 \times 10^{-5} \mathrm{~min}^{-1}\) 4. None of the above
Subtopic:  First Order Reaction Kinetics |
Level 4: Below 35%
NEET - 2024
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For a first-order reaction A \(\rightarrow\) Products, initial concentration of A is 0.1 M, which becomes 0.001 M after 5 minutes. Rate constant for the reaction in min-1 is

1. 0.2303 2. 1.3818 
3. 0.9212 4. 0.4606
Subtopic:  First Order Reaction Kinetics |
 72%
Level 2: 60%+
NEET - 2022
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The half-life of a first-order reaction is 2000 years. If the concentration after 8000 years is 0.02 M, then the initial concentration was:
1. 0.16 M
2. 0.32 M
3. 0.08 M
4. 0.04 M
Subtopic:  First Order Reaction Kinetics |
 62%
Level 2: 60%+
NEET - 2022
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Which of the following is the time required to reduce the amount of a reactant from 2.0 g to 0.2 g for a first-order reaction with rate constant \(k = 4.606 \times 10^{-3} \, \text{s}^{-1}\)?

1. 200 s 2. 500 s
3. 1000 s 4. 100 s
Subtopic:  First Order Reaction Kinetics |
 83%
Level 1: 80%+
NEET - 2020
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If the rate constant for a first order reaction is k, the time (t) required for the completion of 99% of the reaction is given by:

1. t = 2.303/k

2. t = 0.693/k

3. t = 6.909/k

4. t = 4.606/k

Subtopic:  First Order Reaction Kinetics |
 62%
Level 2: 60%+
NEET - 2019
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A first-order reaction has a rate constant of 2.303 × 10¯1. The time required for 40 g of this reactant to reduce to 10 g will be
[Given that log102=0.3010]

1. 230.3 s 2. 301 s
3. 2000 s 4. 602 s
Subtopic:  First Order Reaction Kinetics |
 84%
Level 1: 80%+
NEET - 2019
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A first-order reaction has a specific reaction rate of
10–2 sec–1. How much time will it take for 20 g of the reactant to reduce to 5 g?

1. 138.6 sec 2. 346.5 sec
3. 693.0 sec 4. 238.6 sec
Subtopic:  First Order Reaction Kinetics |
 81%
Level 1: 80%+
NEET - 2017
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The rate of a first-order reaction is 0.04 mol L–1 s–1 at 10 seconds and 0.03 mol L–1 s–1 at 20 seconds after initiation of the reaction. The half-life period of the reaction is:

1. 44.1 s
2. 54.1 s
3. 24.1 s
4. 34.1 s
Subtopic:  First Order Reaction Kinetics |
 62%
Level 2: 60%+
NEET - 2016
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