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Question 40

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

Rate (mol L$$^{-1}$$ s$$^{-1}$$)[A] (mol L$$^{-1}$$)[B] (mol L$$^{-1}$$)
0.10200.5
0.40x0.5
0.8040y

What is the value of x and y?

Rate = k[A][B] (first order in both A and B).

From experiment 1: $$0.10 = k \times 20 \times 0.5 \Rightarrow k = 0.01$$

From experiment 2: $$0.40 = 0.01 \times x \times 0.5 \Rightarrow x = 80$$

From experiment 3: $$0.80 = 0.01 \times 40 \times y \Rightarrow y = 2$$

x = 80 and y = 2.

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