The following data represent the product concentrations versus time during the initial stages of pseudo-first-order reactions with different initial concentrations of analyte [A]₀:

For each concentration of analyte, find the average initial reaction rate for the five time slots given. Plot the initial rate versus the concentration of analyte. Obtain the least-squares slope and intercept of the plot and determine the unknown concentration.

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t, s [P], M 0.00000 0.00000 0.00000 0.00000 0.00000 10 0.00004 0.00018 0.00027 0.00037 0.00014 20 0.00007 0.00037 0.00055 0.00073 0.00029 50 0.00018 0.00091 0.00137 0.00183 0.00072 100 0.00036 0.00181 0.00272 0.00362 0.00144 [A]o, M 0.01000 0.05000 0.07500 0.10000 unknown