For a first order reaction, intercept of the graph between $\log…

For a first order reaction, intercept of the graph between $\log \left(\frac{[\mathrm{A}]_0}{[\mathrm{~A}]_{\mathrm{t}}} \mathrm{Y}\right.$-axis) and time. (X-axis) is equal to
  1. $-\frac{\mathrm{k}}{2.303 \mathrm{~K}}$
  2. $-\log [\mathrm{A}]_0$
  3. zero
  4. $\frac{2.303}{\mathrm{~K}}$

Solution

For $1^{\text {st }}$ order reaction, $2.303 \log \frac{[\mathrm{A}]_0}{[\mathrm{~A}]_{\mathrm{t}}}=\mathrm{kt}$ $\log \frac{[\mathrm{A}]_0}{[\mathrm{~A}]_{\mathrm{t}}}=\frac{\mathrm{k}}{2.303} \cdot \mathrm{t}, \mathrm{y}=\mathrm{mx} ; \quad \mathrm{C}=0[\text { Intercept }=0]$

Asked in: MHT CET 2021 (21 Sep Shift 2)

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