The $t_{1 / 2}$ of two parallel path reactions are $5 \mathrm{hrs}$ and 15 hrs respectively. Calculate the…

The $t_{1 / 2}$ of two parallel path reactions


are $5 \mathrm{hrs}$ and 15 hrs respectively. Calculate the average half-life for the decay of A.
  1. 3.75 hrs
  2. 4.25 hrs
  3. 2.45 hrs
  4. 4.85 hrs

Solution

Average $t_{1 / 2}=\frac{1}{t}=\frac{t_{1} \times t_{2}}{t_{1}+t_{2}}=\frac{5 \times 15}{(5+15)}=\frac{75}{20}=3.75 \mathrm{hrs}$ *

Asked in: JEE-TOPICTESTS-CHEMISTRY

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