Q40 / 150 · MHT CET 2025 (22 Apr Shift 2) · Chemistry

For a reaction, $\mathrm{A}+\mathrm{B} \longrightarrow$ product, it is found that rate law is $\mathrm{r}=\mathrm{k}[\mathrm{A}]^{1.5}[\mathrm{~B}]^{2.5}$. What is the order of reaction?

  • A
    $1.5$
  • B
    $2 \cdot 5$
  • C
    $+1$
  • Correct answer
    D
    $4$

Solution

Rate Law Analysis

The rate law is given as $r = k[A]^{1.5}[B]^{2.5}$.

The order with respect to A is $1.5$, and the order with respect to B is $2.5$. The overall order is the sum of the individual orders: $1.5 + 2.5 = 4$.

Among the options—A) $1.5$, B) $2.5$, C) $+1$, D) $4$—the correct overall order is $4$, corresponding to option D.

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

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