Question
Describe the graphical representation of first order reaction.

Answer


Rate constant for first order reaction is,
$
\begin{aligned}
& kt =\ln \left(\frac{\left[ A _0\right]}{[ A ]}\right) \\
& kt =\ln \left[ A _0\right]-\ln [ A ] \\
& \ln [ A ]=\ln \left[ A _0\right]- kt \\
& y = c + mx
\end{aligned}
$
If we follow the reaction by measuring the concentration of the reactants at regular time intervals ' $t$ ', a plot of In [A] against ' $t$ ' yields a straight line with a negative slope. From this, the rate constant is calculated.
Image
A plot of In $[A]$ Vs $t$ for a first order reaction,
$A \longrightarrow$ product
with initial concentration of $[A]=1.00 M$ and $k =2.5 \times 10^{-2} min ^{-1}$

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