$\mathrm{A} \rightarrow \mathrm{P}$ is a first order reaction. The following graph is obtained for this…

$\mathrm{A} \rightarrow \mathrm{P}$ is a first order reaction. The following graph is obtained for this reaction, $(x$-axis $=$ time: $y$-axis $=$ conc, of A). The instantaneous rate of the reaction at point C is
  1. $\frac{1}{m}$
  2. $m$
  3. 2.303 m
  4. $\frac{1}{2.303 m}$

Solution

$\mathrm{r}_{\text {inst }}=\frac{-\mathrm{d}[\mathrm{R}]}{\mathrm{dt}}=\frac{\mathrm{d}[\mathrm{P}]}{\mathrm{dt}}$ So, the instantaneous rate of reaction at point C is slope i.e. m.

Asked in: AP EAMCET 2024 (23 May Shift 1)

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