A chemical reaction A → B is carried out in a closed vessel. The following data are taken for the concentration of A, CA(g/L), as a function of time, t(min), from the start of the reaction:

A proposed reaction mechanism predicts that CA and t should be related by the expression 

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 C_Ae, and determine the mass of B produced at each of these conditions for the reactor described in Part (b).

Transcribed Image Text:

CA0 CAe 1(min) 36 65 100 160 1(min) 0.0795 0.0495 0.1453 0.1216 0.1025 CA(g/liter) 0.1823 CAe CA0 CA (g/liter)