For the thermal decomposition of reactant AB(g), the following plot is constructed. The half-life of the reaction is min. _____ min. (Nearest integer) [2026]

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Solution

Q.
For the thermal decomposition of reactant AB(g), the following plot is constructed.

The half-life of the reaction is $‘ x ’$ min.

$x =$ _____ min. (Nearest integer) [2026]

Ans.
(10)

${[A B]}_{0} - {[A B]}_{t} = k t$

$0.60 - 0.55 = k (100)$

$k = 5 \times 10^{- 4}$

$Half life (t_{1 / 2}) = \frac{{[A B]}_{0}}{2 k}$

$= \frac{0.60}{2 \times 5 \times 10^{- 4}}$

$= 600 sec$

$= 10 min$

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