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, C_{A} (mol/L), as a function of time t (min). A proposed reaction mechanism predicts the following relationship between C_{A} and t:
Where C_{Ae} = the equilibrium concentration of A, which is 0.0495 mol/L, C_{A0} 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 |
C_{A} (mol/L) |
0.1823 |
0.1453 |
0.1216 |
0.1025 |
0.0795 |
Using these data:
- Add an exponential trend line to a plot of nonlinearized data, (C_{A}-C_{Ae})/(C_{A0}-C_{Ae}) vs. t, to determine the value of k.
- Linearize the data and determine the value of k using Excel built in functions.
- Are the values of k identical? Under what conditions would you expect them to agree?