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A first order reạction takes 40 min for ...

A first order reạction takes 40 min for 30 % decomposition. Calculate `t^(1 / 2)`

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`(t)=(2.303)(k) log ([(A)]_(0))([(A)])` `[(A)]_(0)=100 ,[(A)]=100-30=70``40 doteq (2.303)(k) log ([100])([70])` `40=(2.303)(k) * 0.1549 `40=(0.35673)(k)` `(k)=(0.35673)(40)=89.1 * 10^(-3)` &`therefore t_(1/2)=(0.693)(k)=(0.693)(8.91 xx 10^(-3))=77.70 (min)^(-1)`
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