Q78 / 180 · NEET 2013 (Karnataka) · Chemistry

For a reaction between $A$ and $B$ the order with respect to $A$ is 2 and the other with respect to $B$ is 3 . The concentrations of both $\mathrm{A}$ and $\mathrm{B}$ are doubled, the rate will increase by a factor of:

  • A
    12
  • B
    16
  • Correct answer
    C
    32
  • D
    10

Solution

$$ \begin{aligned} & \text { Rate }_1=k[\mathrm{~A}]^2[\mathrm{~B}]^3 \\ & \operatorname{Rate}_2=k[2 \mathrm{~A}]^2[2 \mathrm{~B}]^3 \\ & \therefore \quad \text { Rate }_2=32[\text { Rate }]_1 \\ & \end{aligned} $$

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

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