Calculate the Conversion Rate of an Exothermic Liquid Phase Reaction

Question

An exothermic liquid phase reaction A → 2C is conducted in a 125L batch reactor that operates isothermally at 125°C due to careful control of cooling fluid in the reactor jacket. Given the following:
(-r_A) = k_AcA, with k_A = 1.2 X 10⁶e^-(750011)min-1            
C_Ao = 1.25 mol/L
C_p = 4.0Jg^-lK^-1
p= 0.85 g/L

(-∆H_RA) = 120kJpermol of A
U_Ac=100W/K
t_d = 25% of reaction time

a. How much time is required to achieve 95% conversion of A?
b. What is the rate of production of C per batch?
c. What is the annual production rate of C, if the facility operates 24/7, for 350 days per year?

Summary

The question belongs to Chemical Engineering and the question is about an exothermic liquid phase reaction. The time taken for the 95% of the reaction to complete, the rate of the production per batch and the annual production have to be calculated based on the conversion rates of the chemical reaction.

Note: The answers are in handwritten format