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A first order reaction has a specific re...

A first order reaction has a specific reaction rate is `10^(-2) sec^(-1)`. How much time will it take for 10 g of its reactant to be reduced to 2.5 g.

Text Solution

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Rate constant, `k = 10^2 sec^(-1) = 0.01 sec^(-1)`
Initial reactant concentration `[A]_(0) = 10 g`
Final reactant concentration [A] = 2.5 g
For a first order reaction, `t= (2.303 (log""10)/(2.5))/(0.01)` = 138.6 second.
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