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QJEEM24Ch2043: JEE Main 2024 Chemistry - Class 12 JEEM24Ch2043 Solution: During Kinetic study of reaction , the following results were…

During Kinetic study of reaction 2A+B→C+D\mathrm{2 A+B \rightarrow C+D} , the following results were obtained :

A[M]\mathrm{A [M]} B[M]\mathrm{B [M]} initial rate of formation of D\mathrm{D}
I 0.1 0.1 6.0×10−36.0\times10^{-3}
II 0.3 0.2 7.2×10−27.2\times10^{-2}
III 0.3 0.4 2.88×10−12.88\times10^{-1}
IV 0.4 0.1 2.40×10−22.40\times10^{-2}

Based on above data, overall order of the reaction is _________.

Step-by-Step Verified Solution

amp; Rate =k[A]x[B]yamp;6×10−2.4×10−=(0.10.4)x⇒x=1amp;7.2×10−2.88×10−=(0.20.4)y⇒y=2\begin{aligned}& \text { Rate }=k[A]^x[B]^y \\& \frac{6 \times 10^{-}}{2.4 \times 10^{-}}=\left(\frac{0.1}{0.4}\right)^x \Rightarrow x=1 \\& \frac{7.2 \times 10^{-}}{2.88 \times 10^{-}}=\left(\frac{0.2}{0.4}\right)^y \Rightarrow y=2\end{aligned}

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