Consider a reaction $aG + bH \rightarrow$ Products. When the concentration of both reactants $G$ and $H$ is doubled,the rate increases by $8$ times. However,when the concentration of $G$ is doubled keeping the concentration of $H$ fixed,the rate is doubled. The overall order of the reaction is:

  • A
    $0$
  • B
    $1$
  • C
    $2$
  • D
    $3$

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Which of the following rate laws has an overall order of $0.5$ for a reaction involving substances $x$,$y$,and $z$?

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$(a)$ The rate of reaction is directly proportional to the concentration of reactant.
$(b)$ The rate of reaction is inversely proportional to the concentration of reactant.
$(c)$ The rate of reaction does not depend on the concentration of reactant.

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The reaction $2A + B_{2} \rightarrow 2AB$ is an elementary reaction. For a certain quantity of reactants,if the volume of the reaction vessel is reduced by a factor of $3,$ the rate of the reaction increases by a factor of $.....$. (Round off to the Nearest Integer).

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