Question

Assertion :The order of a reaction can be determined by the slope of the plot between $log\left(\frac{dx}{dt}\right)$ and $log(a-x)$ Reason: The order of the reaction is an experimental quantity.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

The order of the reaction is an experimental quantity. Hence, it can be determined by measuring the rate of the reaction and the concentration of the reactants.
The rate law expression is $\frac{dx}{dt}=k(a-x{)}^n$. Here, n is the order of the reaction.
$\log \frac{dx}{dt}=\log k+n\log (a-x)$
$Slope=\tan \theta =n$.
The order of a reaction can be determined by the slope of the plot between $log\left(\frac{dx}{dt}\right)$ and $log(a-x)$.