At 345 K, the half life |Chemical Kinetics| JEE-MAIN 2022

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JEE MAIN 2022

25-06-2022 S2

Question

At 345 K, the half life for the decomposition of a sample of a gaseous compound initially at 55.5 kPa was 340 s. When the pressure was 27.8 kPa, the half life was found to be 170 s. The order of the reaction is________. [integer answer]

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Solution

$\begin{aligned} & t_{1 / 2} \times \frac{1}{\left[P_0\right]^{n-1}} \\ & \frac{t_1}{t_2} \times \frac{\left(P_2\right)^{n-1}}{\left[P_1\right]^{n-1}} \\ & \frac{340}{170}=\left(\frac{27.8}{55.5}\right)^{n-1} \\ & \Rightarrow 2=\frac{1}{(2)^{n-1}} \\ & n=0\end{aligned}$

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