The ARSST adiabatic bomb calorimeter reactor can also be used to determine the reaction or...

The ARSST adiabatic bomb calorimeter reactor can also be used to determine the reaction orders. The hydrolysis of acetic anhydride to form acetic acid was carried out adiabatically

The rate law is postulated to be of the form

The following temperature time data were obtained for two different critical concentrations of acetic anhydride under adiabatic operation. The heating rate was 2 °C/min.

CA0 = 6.7 M, CB0 = 0.2 M

Data from Undergraduate Laboratory, University of Michigan.

 (a) Assume ACP = 0 and show for complete conversion, X = 1, the difference between the final temperature, 7}, and the initial temperature, 7n,

(b) Show that the concentration of A can be written as

and CB as

and -rA as

(c) Show that the unsteady energy balance can be written as

 (d) Assume first order in A and in B and that 0 g = 3 then show

 (e) Rearrange Equation (P9-10.6) in the form

(f) Plot the data to obtain the activation energy and the specific reaction rate

(g) Find the heat of reaction. Additional information:

Total volume 10 ml with

Water 3.638 g

Acetic anhydride 6.871 g

(MSCP = 28.012 J/°C andφ = 1.004 and msCps = φ MsCps)