JEE MAIN - Chemistry (2023 - 11th April Evening Shift - No. 13)

For a chemical reaction $$\mathrm{A}+\mathrm{B} \rightarrow$$ Product, the order is 1 with respect to $$\mathrm{A}$$ and $$\mathrm{B}$$.

$$\mathrm{Rate}$$
$$\mathrm{mol~L^{-1}~S^{-1}}$$
$$\mathrm{[A]}$$
$$\mathrm{mol~L^{-1}}$$
$$\mathrm{[B]}$$
$$\mathrm{mol~L^{-1}}$$
0.10 20 0.5
0.40 $$x$$ 0.5
0.80 40 $$y$$

What is the value of $$x$$ and $$y$$ ?

80 and 4
160 and 4
80 and 2
40 and 4

Explanation

$$ \begin{aligned} & \mathrm{r}=\mathrm{K}[\mathrm{A}]^1[\mathrm{~B}]^1 \\\\ & 0.1=\mathrm{K}(20)^1(0.5)^1 ........(i) \\\\ & 0.40=\mathrm{K}(\mathrm{x})^1(0.5)^1 ........(ii) \\\\ & 0.80=\mathrm{K}(40)^1(\mathrm{y})^1 ........(iii) \end{aligned} $$

From (i) and (ii)

$$ x=80 $$

From (i) and (iii)

$$ y=2 $$

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