For the reaction A ? products. The concentration of A at 10 minutes is ______ mol (nearest integer). The reaction was started with 2.5 mol of A. [2025]

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Solution

Q.
For the reaction A → products.

The concentration of A at 10 minutes is ______ $\times 10^{- 3}$ mol $L^{- 1}$ (nearest integer).

The reaction was started with 2.5 mol $L^{- 1}$ of A. [2025]

Ans.
(2435)

As half-life is directly proportional to initial concentration, the given reaction is a zero-order reaction.

$For zero order reaction: t_{1 / 2} = \frac{a_{0}}{2 k}$

Thus, slope of $t_{1 / 2}$ vs $a_{0}$ is $\frac{1}{2 k}$ .

$As per given in graph, \frac{1}{2 k} = 76.92$

$k = \frac{1}{2 \times 76.92}$

Also, for zero-order reaction, $a_{t} = a_{0} - k t$

$a_{t = 10} = 2.5 - \frac{1}{2 \times 76.92} \times 10 = 2435 \times 10^{- 3} mol/L$

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