Consider the kinetic data given in the following table for the reaction $A + B + C \rightarrow$ Product.

Experiment No. $\begin{array}{c}{[ A ]} \\ \left( mol dm ^{-3}\right)\end{array}$ $\begin{array}{c}{[ B ]} \\ \left( mol dm ^{-3}\right)\end{array}$ $\begin{array}{c}{[ C]} \\ \left( mol dm ^{-3}\right)\end{array}$ Rate of reaction $\left( mol dm ^{-3} s ^{-1}\right)$
$1$ $0.2$ $0.1$ $0.1$ $6.0 \times 10^{-5}$
$2$ $0.2$ $0.2$ $0.1$ $6.0 \times 10^{-5}$
$3$ $0.2$ $0.1$ $0.2$ $1.2 \times 10^{-4}$
$4$ $0.3$ $0.1$ $0.1$ $9.0 \times 10^{-5}$

The rate of the reaction for $[ A ]=0.15 mol dm ^{-3},[ B ]=0.25 mol dm ^{-3}$ and $[ C ]=0.15 mol dm ^{-3}$ is found to be $Y \times 10^{-5} mol dm d ^{-3} s ^{-1}$. The value of $Y$ i. . . . . . .

  • [IIT 2019]
  • A

    $6.75$

  • B

    $6.80$

  • C

    $6.85$

  • D

    $6.90$

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