For the reaction $2A + B \to C$,the values of initial rate at different reactant concentrations are given in the table below: The rate law for the reaction is

$[A] (mol\,L^{-1})$ $[B] (mol\,L^{-1})$ Initial Rate $(mol\, L^{-1}\,s^{-1} )$
$0.05$ $0.05$ $0.045$
$0.10$ $0.05$ $0.090$
$0.20$ $0.10$ $0.72$

 

  • [JEE MAIN 2019]
  • A

    Rate $= k[A]^2[B]^2$

  • B

    Rate $= k[A][B]^2$

  • C

    Rate $= k[A][B]$

  • D

    Rate $= k[A]^2[B]$

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  • [AIIMS 2004]

For the non-stoichiometric reaction $2A + B \to C + D,$ the following kinetic data were  obtained in three separate experiments, all at $298\,K$.

Initial Conc.
 $(A)$
Initial Conc.
 $(B)$

Initial rate of
formation of $C\,(mol\, L^-S^-)$

$0.1\,M$ $0.1\,M$ $1.2 \times 10^{-3}$
$0.1\,M$ $0.2\,M$ $1.2 \times 10^{-3}$
$0.2\,M$ $0.1\,M$ $2.4 \times 10^{-3}$

For the reaction the rate of formation of $C$ will be