1. Tardigrade
  2. Question
  3. Chemistry
  4. For the reaction A arrow Products, it is found that the rate of reaction increases by a factor of 6.25 when concentration of A increases by a factor of 2.5. Calculate the order of reaction with respect to A

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Q. For the reaction $A \rightarrow$ Products, it is found that the rate of reaction increases by a factor of $6.25$ when concentration of A increases by a factor of $2.5$. Calculate the order of reaction with respect to A

Chemical Kinetics

Solution:

Rate $(r)=k[ A ]^n=k( X )^n \ldots( i )$
$6.25 \times r=k(2.5 X )^n \ldots( ii )$
Or $6.25 \times k \times( X )^n=k(2.5 \times X )^n$
$\Rightarrow\left(\frac{2.5 X}{X}\right)^n=6.25 \Rightarrow(2.5)^n=(2.5)^2$
$\therefore n=2$