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A first order decomposition reaction tak...

A first order decomposition reaction takes 40min. For `30%` decomposition. Calculate it's `t_(1//2)` value.

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Given `t=40min, a =100`
`a-x=100-30=70`
In case of first order reaction
`k=(2.303)/(40)log ""(100)/(70) =0.0576[2.0000-1.8451]`
`=0.576(0.1549)=8.922xx10^(-3)`
`t_((1)/(2))=(0.693)/(h)=(0.693)/(8.922xx10^(-3))=77.673min.`
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