JEE Main 2026 Jan 23 Shift 1, Chemistry Q21: Reactions of Various Orders

JEE Main2026Jan 23, Shift 1Chemistry

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)

Your answer

Solution

The graph is linear in $[A B]$ vs $t$ , indicating a zero-order reaction: $[A B]_{0} - [A B]_{t} = k t$ .

From the data: $0.60 - 0.55 = k (100)$ , so $k = 5 \times 1 0^{- 4}$ M·s $^{- 1}$ .

Zero-order half-life:

$t_{1/2} = \frac{[ A B ] _{0}}{2 k} = \frac{0.60}{2 \times 5 \times 1 0 ^{- 4}} = 600 s = 10 min$

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