A rightarrow P is a first-order reaction. The | vedclass

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(B) For a reaction $A \rightarrow P$,the rate of reaction is defined as the negative of the rate of change of concentration of reactant $A$ with respe

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$m$

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(B) For a reaction $A ightarrow P$,the rate of reaction is defined as the negative of the rate of change of concentration of reactant $A$ with respect to time.$r_{	ext{inst}} = -\frac{d[A]}{dt}$In the given graph,the $y$-axis represents the concentration of $A$ and the $x$-axis represents time.The slope of the tangent drawn to the curve at any point gives the value of $\frac{d[A]}{dt}$.Since the slope of the tangent at point $C$ is $m$,the value of $\frac{d[A]}{dt}$ at point $C$ is $m$.Therefore,the instantaneous rate of reaction at point $C$ is $-(	ext{slope}) = -m$.However,in the context of magnitude of rate,the instantaneous rate is represented by the absolute value of the slope,which is $m$.

$A \rightarrow P$ is a first-order reaction. The following graph is obtained for this reaction ($x$-axis $=$ time,$y$-axis $=$ concentration of $A$). The instantaneous rate of the reaction at point $C$ is:

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