For the thermal decomposition of reaction AB ( g ) , the following is constructed. The half life of the reaction is ' x ' min. x = \ \ \ \ min. (Nearest integer)

Chemistry · Chemical Kinetics

JEE Main 2026 — 23 January, Morning Shift — Question 66

For the thermal decomposition of reaction $\mathrm{AB}(\mathrm{g})$ , the following is constructed. The half life of the reaction is ' x ' min. $\mathrm{x}=$ $\_\_\_\_$ min. (Nearest integer)

Answer: 10

Numerical answer — enter this value.

Step-by-step solution

$[\mathrm{AB}]_{0}-[\mathrm{AB}]_{\mathrm{t}}=\mathrm{kt}$ $\mathbf{0 . 6 0}-0.55=\mathrm{k}(100)$ $\mathrm{k}=5 \times 10^{-4}$ Half life $\left(\mathrm{t}_{1 / 2}\right)=\frac{[\mathrm{AB}]_{0}}{2 \mathrm{k}}$ $=\frac{0.60}{2 \times 5 \times 10^{-4}}$ $=600 \mathrm{sec}$ $=10 \mathrm{~min}$

Answer key and solution verified before publishing.

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Exam: JEE Main 2026
Paper: 23 January, Morning Shift
Subject: Chemistry
Chapter: Chemical Kinetics
Topic: Rate Laws and Rate Constant