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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 5 g of this reactant take to reduce to 3 g?

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Verified by Experts

The correct Answer is:
`444s`
Initial amount `(a)=5g`
Amount reduce to `(a-x)=3g`
`t=(2.303)/(k)log``(a)/((a-x))=(2.3)/(1.15xx10^(-3)s^(-1))log``(5g)/(3g)`
`=2.00xx10^(3)log(1.667)s`
`=2.00xx10^(3)xx0.2219s`
`=443.85~~444s`
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