A chemical reaction A ! B is carried out in a closed

Chapter 2, Problem 2.43

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A chemical reaction A ! B is carried out in a closed vessel. The following data are taken for the concentration of A, CAg/L, as a function of time, tmin, from the start of the reaction: CA0 CA0 CAe CAe CA (g/liter) CA(g/liter) t(min) t(min) 0.1823 0.1453 0.1216 0.1025 0.0795 0.0495 0 36 65 100 160 A proposed reaction mechanism predicts that CA and t should be related by the expression ln CA CAe CA0 CAe kt where k is the reaction rate constant. (a) Do the data support this prediction? If so, plot the data appropriately to determine the value of k. (b) If the tank volume is 125 L and there is no B in the tank at t 0, how much B(g) does the tank contain after two hours? (c) Estimate the time required for the final concentration of A to reach 1.1, 1.05, and 1.01 times CAe, and determine the mass of B produced at each of these conditions for the reactor described in Part (b).