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A first order reaction has a rate consta...

A first order reaction has a rate constant `1.15xx10^(-3)s^(-1)`. How long will `5g` of this reactant take to reduce to `3g`` ?

Text Solution

Verified by Experts

Here, `[A]_(0)=5g.[A]=3g,k=1.15xx10^(-3)s^(-1).` As the reaction is of 1st order,
`t=(2.303)/(t)log""([A]_(0))/([A])=(2.303)/(1.15xx10^(-3)s^(-1))log""(5g)/(3g)=2.00xx10^(3)(log1.667)s`
`=2.0xx10^(3)xx0.2219s=443.8s~~444s.`
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