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Q. Consider the following reactions:
$A \rightarrow P 1 ; B \rightarrow P 2 ; C \rightarrow P 3 ; D \rightarrow P 4$
The order of the above reactions are $a , b , c ,$ and $d$, respectively. The following graph is obtained when log [rate] vs. $\log [$ conc $]$ are plotted:
image
Among the following , the correct sequence for the order of the reactions is:

JEE MainJEE Main 2020Chemical Kinetics

Solution:

Rate law $R = K$ [conc.] $^{ n }[ n \rightarrow$ order $]$

$\log ($ Rate $)=\log K + n \log [$ conc.$]$

For log(rate) $v / s$ log [conc.] graph

[Slope $= n]$

As slope increases order (n) increases

$\therefore $ Order $d > b > a > C$