Q9 / 66 · JEE Advanced 2007 (Paper 2) · Chemistry

Consider a reaction $a G+b H \rightarrow$ products. When concentration of both the reactants $G$ and $H$ is doubled, the rate increases by eight times. However, when 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
  • Correct answer
    D
    3

Solution

$a G+b H \longrightarrow$ Product Suppose order of reaction $=n$ When concentration of both $G$ and $H$ is double than rate increase by eight times. $$ \begin{aligned} \text { rate } & =k(\text { reactants })^n \\ (2)^8 & =k(2)^n \\ (2)^3 & =k(2)^n \\ n & =3 \end{aligned} $$ when concentration of $G$ is doubled than concentration $H$ is fixed, the rate is double. than $\quad$ rate $\propto[G]^1[H]^2$

Hence, the correct answer is option: 'D'.

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