What is the Reaction Order and Rate Constant for 2C4H6 --> C8H12 at 320°C?

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The discussion centers on determining the reaction order and rate constant for the gas-phase reaction 2C4H6 --> C8H12 at 320°C, using provided pressure data over time. The initial approach involved applying the ideal gas law, PV=nRT, but the lack of volume information posed a challenge. A participant clarified that the pressure decrease can be used to infer the amount of C4H6 reacted, leading to the conclusion that the reaction order is first. The conversation emphasizes the relationship between reactant conversion and pressure changes. Overall, the thread provides insights into calculating reaction kinetics based on pressure data.
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Homework Statement


I am considering the reaction 2C4H6 --> C8H12 at 320 degrees C. Both the product and the reactant are gases.
I have the data:
Time (minutes): 0.00 3.25 12.18 24.55 42.50 68.05
Total P (torr): 632.0 618.5 584.2 546.8 509.3 474.6

Find the reaction order and the rate constant.
Assume that only C4H6 is present at the start of the reaction.

Homework Equations


rate=k[C8H12]x
Perhaps PV=nRT?

The Attempt at a Solution


I tried to apply PV=nRT to the initial amount, hoping to find moles of reactant. However, I don't have a volume, so I don't know how to start. Any advice would be greatly appreciated.
 
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Any help?
 
Why does the pressure goes down? Can you use this change to calculate how much C4H6 reacted?

Your rate equation is wrong.
 
I got it. Every time the reactant is changed into product, the pressure is one half for that molecule. So I found the values of the reactants and the products, and found the order is 1.

Thanks for the help,
Peter
 
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