An exothermic, aqueous phase, irreversible, first order reaction, Y ⟶ Z is carried out in an ideal continuous stirred tank reactor (CSTR) operated adiabatically at steady state. Rate of consumption of Y (in mol liter^-1 minute^-1) is given by -r_Y=10⁹e^-6500/TC_Y where C_Y is the concentration of Y (in mol liter^-1), and T is the temperature of the reaction mixture (in K). Reactant Y is fed at 50°C. Its inlet concentration is 1.0 mol liter^-1, and its volumetric flow rate is 1.0 liter minute^-1. In addition, use the following data and assumptions
• Heat of the reaction =-42000 J mol^-1
• Specific heat capacity of the reaction mixture =4.2 J g^-1K^-1
• Density of the reaction mixture =1000g liter^-1
• Heat of the reaction, specific heat capacity and density of the reaction mixture do not vary with temperature
• Shaft work is negligible
If the conversion of Y at the exit of the reactor is 90%, the volume of the CSTR (in liter) is _______ (round off to 2 decimal places).