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A first order decomposition reaction tak...

A first order decomposition reaction takes 40 minutes for 30% decomposition. Calculate its `t_(1//2)` value.

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The correct Answer is:
`77.86" min"`

`k=(2.303)/(t)log""(a)/(a-x)=(2.303)/(40" min")log""(a)/(a-0.30a)=0.0089" min"^(-1),t_(1//2)=(0.693)/(k)=(0.693)/(0.0089" min"^(-1))=77.86" min."`
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