Consider the following reaction \[ \mathrm{A}+\mathrm{B} \rightarrow \mathrm{C} \] The time taken for…

Consider the following reaction \[ \mathrm{A}+\mathrm{B} \rightarrow \mathrm{C} \] The time taken for \(\mathrm{A}\) to become \(1 / 4^{\text {th }}\) of its initial concentration is twice the time taken to become \(1 / 2\) of the same. Also, when the change of concentration of \(B\) is plotted against time, the resulting graph gives a straight line with a negative slope and a positive intercept on the concentration axis. The overall order of the reaction is _______

Solution

For $1^{\text {st }}$ order reaction $75 \% \text { life }=2 \times 50 \% \text { life }$
So order with respect to A will be first order.
So order with respect to B will be zero. Overall order of reaction $=1+0=1$

Asked in: JEE Main 2024 (08 Apr Shift 1)

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