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Show that the hydrolysis follows first-order kinetics and calculate (a) the rate constant, and (b) the half-life.

Answer

(a) The reaction will be first-order if a plot of the logarithm of the amount of homatropine remaining against time is linear.

Log percentage 1.97 1.93 1.88 1.80 1.72 1.62 remaining

Figure 4.2 shows a linear plot with a slope = -(1.96 - 1.55)/(20 - 2) = -2.278

t0.5 = 0.693/kj = 13.2 h The half-life of the reaction is 13.2 h.

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