In a reaction $A ightarrow$ Products, when start is made from $8.0 \times 10^{-2} \mathrm{M}$ of $A$,…

In a reaction $A ightarrow$ Products, when start is made from $8.0 \times 10^{-2} \mathrm{M}$ of $A$, half-life is found to be 120 minute. For the initial concentration $4.0 \times 10^{-2} \mathrm{M}$, the half-life of the reaction becomes 240 minute. The order of the reaction is:
  1. zero
  2. one
  3. two
  4. $0.5$

Solution

$\frac{\left(t_{1 / 2}ight)_{1}}{\left(t_{1 / 2}ight)_{2}}=\left(\frac{a_{2}}{a_{1}}ight)^{n-1} ; \frac{120}{240}=\left(\frac{4 \times 10^{-2}}{8 \times 10^{-2}}ight)^{n-1} ; n=2$

Asked in: JEE-TOPICTESTS-CHEMISTRY

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