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Based on the provided data, it is observed that when [A] is doubled while keeping [B] constant, the reaction rate does not change, indicating that the rate does not depend on [A]. Additionally, when [B] is doubled while keeping [A] constant, the rate increases by a factor of 8, suggesting that the rate is proportional to [B]^3.

1. Rate is directly proportional to [B]^3
2. The reaction rate does not depend on [A]
3. The collision frequency (Z) represents the number of collisions per second per unit volume of the reaction mixture and is proportional to the concentration of reacting molecules. Higher reactant concentrations lead to a greater collision frequency.
4. Using the Arrhenius equation, k400/k200 = e^(Ea/RT) * (T2-T1)/(T1T2)

Correct answer: Rate is directly proportional to [B]^3

Solution

The question analysis shows that the rate is proportional to [B]^3, as doubling [B] increases the rate by 8 times. This matches option A.

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