Easy MCQ +4 / -1 PYQ · JEE Mains 2025

Rate law for a reaction between $A$ and $B$ is given by

$\mathrm{r}=\mathrm{k}[\mathrm{~A}]^{\mathrm{n}}[\mathrm{~B}]^{\mathrm{m}}$

If concentration of $A$ is doubled and concentration of $B$ is halved from their initial value, the ratio of new rate of reaction to the initial rate of reaction $\left(\frac{r_2}{r_1}\right)$ is

  1. A $(\mathrm{n}-\mathrm{m})$
  2. B $2^{(\mathrm{n}-m)}$ Correct answer
  3. C $\frac{1}{2^{m+n}}$
  4. D $(\mathrm{m}+\mathrm{n})$

Solution

<p>$\mathrm{r}_1=\mathrm{k}[\mathrm{~A}]^{\mathrm{n}}[\mathrm{~B}]^{\mathrm{m}}$</p> <p>Now $A$ is doubled \& B is halved in concentration</p> <p>$$\Rightarrow \mathrm{r}_2=\mathrm{k} 2^{\mathrm{n}}[\mathrm{~A}]^{\mathrm{n}} \cdot \frac{[\mathrm{~B}]^{\mathrm{m}}}{2^{\mathrm{m}}}$$</p> <p>Now $\frac{r_2}{r_1}=2^{(n-m)}$</p>

About this question

Subject: Chemistry · Chapter: Chemical Kinetics · Topic: Rate of Reaction

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