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Q. For nth order reaction,
$\left(\frac{d x}{d t}\right)=$ rate $= k [ A ]^{ n }$
Graphs between log (rate) and log $\left[ A _{0}\right]$ are of the type $\left(\left[ A _{0}\right]\right.$ is the initial concentration)
image
Lines $P, Q, R$ and $S$ are for the order

Chemical Kinetics

Solution:

$\log \left(\frac{d x}{d t}\right)=\log\, k+n / y[A]$

$n =$ order of the reaction $=$ slope of the line

Larger the value of the slope of the line, larger the order.

Thus, $P =3, Q =2, R =1, S =0$