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Given that d_3 =3.0×10 ^−4 m and d0 =5.0×10 ^−5 m at

t=0, calculate the rate of the reaction at t=0.
a) 2.0×10^−4 m/s
b) 1.5×10^ −4^m/s
c) 3.5×10^−4 m/s
d) 4.0×10^−4 m/s

1 Answer

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Final answer:

Due to a lack of sufficient data, such as a time interval or multiple data points, we cannot accurately calculate the reaction rate at time t = 0 based on the information provided.

Step-by-step explanation:

The student is asked to calculate the rate of reaction at time t = 0. Using the data provided, the rate of reaction is the change in diameter per unit time (rate = ∂diameter/∂time). We have the initial diameter (d0) as 5.0×10-5 m and the diameter at t = 3 seconds (d_3) as 3.0×10-4 m. To find the rate at t = 0, we calculate the change in diameter divided by the time interval. However, since no time interval other than t = 0 is given for the calculation of initial rate and the change in diameter is not provided for a particular time, it's not possible to calculate the rate directly from this data. A standard approach in kinetics is to use the rate equation or to have multiple data points to calculate the rate at t = 0. Therefore, based only on the given information, there isn't sufficient data to calculate an accurate reaction rate.

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