1. Engineering
2. Chemical Engineering
3. 2 the conversion of a chemical a into a product...

# Question: 2 the conversion of a chemical a into a product...

###### Question details

2. The conversion of a chemical A into a product B is carried out in a closed vessel. The data in the table below are taken for the concentration of A, CA (mol/L), as a function of time t (min). A proposed reaction mechanism predicts the following relationship between CA and t: Where CAe = the equilibrium concentration of A, which is 0.0495 mol/L, CA0 is the initial concentration of A (at t=0) and k is the reaction rate coefficient. Do the data follow this relationship, and if so, what is the value of k?

 t (min) 0 36 65 100 160 CA (mol/L) 0.1823 0.1453 0.1216 0.1025 0.0795

Using these data:

1. Add an exponential trend line to a plot of nonlinearized data, (CA-CAe)/(CA0-CAe) vs. t, to determine the value of k.
2. Linearize the data and determine the value of k using Excel built in functions.
3. Are the values of k identical? Under what conditions would you expect them to agree?
###### Solution by an expert tutor 