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A study of the rate of dimerization of C₄H6 gave the data shown in the table. What is the rate constant for the reaction?

User Manihtraa
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Final answer:

To determine the average rate of dimerization, use the change in concentration of C₄H6 over a given time period. To estimate the instantaneous rate, calculate the slope of the line tangent to the graph at a specific time. Units of the instantaneous rate are M/s.

Step-by-step explanation:

To determine the average rate of dimerization between 0s and 1600 s, we need to calculate the change in concentration of C₄H6 during that time period. Let's assume the initial concentration of C₄H6 is A₀ and the final concentration at 1600 s is A₁. The average rate of dimerization is given by the formula:

Average rate = (A₁ - A₀) / (time)

Similarly, to determine the average rate of dimerization between 1600 s and 3200 s, we need to calculate the change in concentration of C₄H6 during that time period. Let's assume the concentration at 1600 s is B₀ and the concentration at 3200 s is B₁. The average rate of dimerization is given by the formula:

Average rate = (B₁ - B₀) / (time)

To estimate the instantaneous rate of dimerization at 3200 s from a graph of time versus [C₄H6], we need to calculate the slope of the line tangent to the graph at 3200 s. The units of this rate would be M/s.

User Saurabh Rathod
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