During Kinetic study of reaction $2 \mathrm{~A}+\mathrm{B} \rightarrow \mathrm{C}+\mathrm{D}$, the following results were obtained : | | $\mathbf{A}[\mathbf{M}]$ | $\mathbf{B}[\mathbf{M}]$ | initial rate of formation of D | |---|---|---|---| | I | 0.1 | 0.1 | $6.0 \times 10^{-3}$ | | II | 0.3 | 0.2 | $7.2 \times 10^{-2}$ | | III | 0.3 | 0.4 | $2.88 \times 10^{-1}$ | | IV | 0.4 | 0.1 | $2.40 \times 10^{-2}$ | Based on above data, overall order of the reaction is ____

JEE Main · 2024 · 05 Apr 2024 · Shift 1 · Chemical Kinetics

During Kinetic study of reaction

2 A + B \to C + D

, the following results were obtained :

	$A [M]$	$B [M]$	initial rate of formation of D
I	0.1	0.1	$6.0 \times 1 0^{- 3}$
II	0.3	0.2	$7.2 \times 1 0^{- 2}$
III	0.3	0.4	$2.88 \times 1 0^{- 1}$
IV	0.4	0.1	$2.40 \times 1 0^{- 2}$

Based on above data, overall order of the reaction is ____

Answer: 3

Let rate

= k [A]^{x} [B]^{y}

. Comparing experiments IV and I (B fixed):

\frac{2.40 \times 1 0 ^{- 2}}{6.0 \times 1 0 ^{- 3}} = 4 = (\frac{0.4}{0.1})^{x} = 4^{x} \Rightarrow x = 1

. Comparing III and II (A fixed):

\frac{2.88 \times 1 0 ^{- 1}}{7.2 \times 1 0 ^{- 2}} = 4 = (\frac{0.4}{0.2})^{y} = 2^{y} \Rightarrow y = 2

. Overall order

= x + y = 3

JEE Main · 2024 · 05 Apr 2024 · Shift 1 · Integer answer