Predict the rate law of the following reaction based on the data given below: $2A+B \rightarrow C+3D$ | Reaction number | [A] (M) | [B] (M) | Initial rate ($\text{M s}^{-1}$) | |---|---|---|---| | 1 | 0.1 | 0.1 | x | | 2 | 0.2 | 0.1 | 2x | | 3 | 0.1 | 0.2 | 4x | | 4 | 0.2 | 0.2 | 8x | (a) $\text{rate}=k[A]^2[B]$ (b) $\text{rate}=k[A][B]^2$ (c) $\text{rate}=k[A][B]$ (d) $\text{rate}=k[A]^{1/2}[B]^{3/2}$

Predict the rate law of the following reaction bas – Class 12 Chemistry

Choose the Best Answer · Q15

Predict the rate law of the following reaction based on the data given below: $2A+B \rightarrow C+3D$

Reaction number	[A] (M)	[B] (M)	Initial rate ( $\text{M s}^{-1}$ )
1	0.1	0.1	x
2	0.2	0.1	2x
3	0.1	0.2	4x
4	0.2	0.2	8x

(a) $\text{rate}=k[A]^2[B]$ (b) $\text{rate}=k[A][B]^2$ (c) $\text{rate}=k[A][B]$ (d) $\text{rate}=k[A]^{1/2}[B]^{3/2}$

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Step 1. Comparing reactions 1 and 2: $[A]$ doubles (0.1 $\rightarrow$ 0.2), $[B]$ unchanged, and rate doubles ( $x\rightarrow2x$ ). Since $2^1=2$ , the order with respect to A is 1.

Step 2. Comparing reactions 1 and 3: $[B]$ doubles (0.1 $\rightarrow$ 0.2), $[A]$ unchanged, and rate quadruples ( $x\rightarrow4x$ ). Since $2^n=4\Rightarrow n=2$ , the order with respect to B is 2. …

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