For the following reaction: $NO_2(g) + CO(g) \to NO(g) + CO_2(g)$, the rate law is: Rate $= k \,[NO_2]^2$. If $0.1\,mole$ of gaseous carbon monoxide is added at constant temperature to the reaction mixture which of the following statements is true?

  • [AIIMS 2016]
  • A

    Both $k$ and the reaction rate remain the same

  • B

    Both $k$ and the reaction rate increase

  • C

    Both $k$ and the reaction rate decrease

  • D

    Only $k$ increases, the reaction rate remain the same

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  • [JEE MAIN 2021]

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$2N_2O_5 \rightarrow 4NO_2 + O_2$ can be written in three ways.

$\frac{-d[N_2O_5 ]}{dt} = k[N_2O_5]$

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  • [AIPMT 2011]

In a reaction, $A + B \rightarrow$ product, rate is doubled when the concentration of $B$ is doubled, and rate increases by a factor of $8$ when the concentration of both the reactants $(A$ and $B)$ are doubled, rate law for the reaction can be written as

  • [AIPMT 2012]

For a reaction, $A+B \rightarrow$ Product; the rate law is given by, $r=k[ A ]^{1 / 2}[ B ]^{2}$ What is the order of the reaction?