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Chemical Kinetics and Nuclear Chemistry question

2025 · 2 Apr · Shift 1 · Q21
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Chemical Kinetics and Nuclear Chemistry question

2025 · 2 Apr · Shift 1 · Q21

JEE MainChemistryChemical Kinetics and Nuclear ChemistryNumerical+4 / −1
For the reaction A →\to→ products. JEE Main 2025 (Online) 2nd April Morning Shift Chemistry - Chemical Kinetics and Nuclear Chemistry Question 12 English The concentration of A at 10 minutes is ‾\underline{\hspace{2cm}}​×10−3 mol L−1\times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1}×10−3 mol L−1(nearest integer). The reaction was started with 2.5 mol L−12.5 \mathrm{~mol} \mathrm{~L}^{-1}2.5 mol L−1 of A .
Numerical answer
View written solutionFree

Correct answer: INSUFFICIENT DATA

The question appears to be incomplete as written. For a kinetics problem asking the concentration of AAA at 101010 minutes, we need some additional information such as:

  1. order of reaction, and/or
  2. rate constant / half-life / decay law / graph data.

At present, only this is given:

  • Initial concentration: [A]0=2.5 mol L−1[A]_0 = 2.5\,\text{mol L}^{-1}[A]0​=2.5mol L−1
  • Time: t=10t = 10t=10 min
  • Need [A][A][A] in the form ____×10−3 mol L−1\_\_\_\_ \times 10^{-3}\,\text{mol L}^{-1}____×10−3mol L−1

But from kinetics, concentration at time ttt depends on the rate law:

  • Zero order: [A]t=[A]0−kt[A]_t = [A]_0 - kt[A]t​=[A]0​−kt
  • First order: [A]t=[A]0e−kt[A]_t = [A]_0 e^{-kt}[A]t​=[A]0​e−kt
  • Second order: 1[A]t=1[A]0+kt\frac{1}{[A]_t} = \frac{1}{[A]_0} + kt[A]t​1​=[A]0​1​+kt

Without kkk or equivalent data, the concentration cannot be uniquely determined.


Comparison with stored answer

The stored correct answer is 2435, which would imply [A]10 min=2435×10−3=2.435 mol L−1[A]_{10\,\text{min}} = 2435 \times 10^{-3} = 2.435\,\text{mol L}^{-1}[A]10min​=2435×10−3=2.435mol L−1 This corresponds to only a very small decrease from the initial concentration 2.5 mol L−12.5\,\text{mol L}^{-1}2.5mol L−1, but there is no way to derive this uniquely from the provided statement alone.

So, based on the information visible in the question, I do not agree with the stored answer because the question data is insufficient.

If some missing data (for example half-life, first-order rate constant, or decay percentage) was omitted, then the answer might possibly become 243524352435.

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