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The results of an investigation of the reaction between P and Q are shown in this table - AQA - A-Level Chemistry - Question 10 - 2019 - Paper 3

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The results of an investigation of the reaction between P and Q are shown in this table. Experiment Initial [P] / mol dm⁻³ Initial [Q] / mol dm⁻³ Initial rate / mol... show full transcript

Worked Solution & Example Answer:The results of an investigation of the reaction between P and Q are shown in this table - AQA - A-Level Chemistry - Question 10 - 2019 - Paper 3

Step 1

Calculate the rate for experiment 1

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Answer

The rate for experiment 1 is given as 0.400 mol dm⁻³ s⁻¹.

Step 2

Use the rate equation for experiment 1

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Answer

From the rate equation, we have: 0.400=k(0.200)(0.500)20.400 = k (0.200) (0.500)^2 This simplifies to: 0.400=k(0.200)(0.25)0.400 = k (0.200) (0.25) Thus: 0.400=k(0.050)0.400 = k (0.050) So, k=0.4000.050=8k = \frac{0.400}{0.050} = 8

Step 3

Set up the equation for experiment 2

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Answer

Now for experiment 2, we know: 0.800=k(0.600)[Q]20.800 = k (0.600) [Q]^2 Substituting for k: 0.800=8(0.600)[Q]20.800 = 8 (0.600) [Q]^2 This simplifies to: 0.800=4.8[Q]20.800 = 4.8 [Q]^2

Step 4

Solve for [Q] in experiment 2

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Answer

Rearranging gives: [Q]2=0.8004.8[Q]^2 = \frac{0.800}{4.8} Calculating: [Q]2=0.1667[Q]^2 = 0.1667 Taking the square root: [Q]=0.16670.408[Q] = \sqrt{0.1667} \approx 0.408

Step 5

Conclusion

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Answer

The initial concentration of Q in experiment 2 is approximately 0.408 mol dm⁻³.

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