The results given in the below table were obtained during kinetic studies of the following reaction: 2 A + B…

The results given in the below table were obtained during kinetic studies of the following reaction: 2A+BC+D

Experiment A/molL-1 B/molL-1 Initial rate/molL-1min-1
I 0.1 0.1 6.00×10-3
II 0.1 0.2 2.40×10-2
III 0.2 0.1 1.20×10-2
IV X 0.2 7.20×10-2
V 0.3 Y 2.88×10-1

X and Y in the given table are respectively :

  1.  0.4, 0.4
  2. 0.4, 0.3
  3.  0.3, 0.4
  4.  0.3, 0.3

Solution

$ \text{Rate} = k[A]^a[B]^b $ from Exp $(1) \& (2)$, $b = 2$ from Exp $(1) \& (3)$, $a = 1$ from Exp $(2) \& (4) \rightarrow 3 = \left(\frac{x}{0.1}\right)^1$ so $x = 0.3$ from Exp $(1) \& (5) \rightarrow 48 = 3^1\left(\frac{y}{0.1}\right)^2$ $4^2 = \left(\frac{y}{0.1}\right)^2$ so $y = 0.4$

Asked in: JEE Main 2020 (02 Sep Shift 2)

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