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Elementary and Complex Reactions

For a given r...

Question

For a given reaction:
$R \to P$
following graph was obtained between concentration of reactant , $R$ w.r.t time.

The value for average rate $i n m o l L^{- 1} s^{- 1}$ from $t_{1} = 10 m i n$ to $t_{2} = 15 m i n$ is :

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Solution

For $R \to P$
Average rate of reaction:
$r_{a v} = - \frac{[R]_{f i n a l} - [R]_{i n i t i a l}}{t_{f i n a l} - t_{i n i t i a l}} = - \frac{Δ R}{Δ t}$
Here $[R]_{f i n a l}, [R]_{i n i t i a l} are the concentration of reactant A at t_{f i n a l} = 15 m i n, t_{i n i t i a l} = 10 m i n respectively$
$r_{a v} = - \frac{6 - 9}{15 - 10} m o l L^{- 1} m i n^{- 1} r_{a v} = \frac{3}{5 \times 60} m o l L^{- 1} s^{- 1} = 0.01 m o l L^{- 1} s^{- 1}$

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