Your company is designing a reactor to run the methanol + acetic anhydride reaction. You have been assigned the task of designing the cooling system within the reactor. The reactor is designed to handle \(10,000 \mathrm{~kg}\) of reacting mass. Assume a heat capacity for the liquid of \(2.3 \mathrm{~J} / \mathrm{kg}-\mathrm{K}\).

a. Using the results of Examples 8-3 and 8-4, estimate the heat load, in \(\mathrm{J} / \mathrm{s}\), on the cooling coils at the maximum reaction rate. What additional capacity and other considerations are important to ensure that the cooling coils are sized properly to prevent a runaway reaction?

b. Using the results of part (a), estimate the cooling water flow required, in \(\mathrm{kg} / \mathrm{s}\). The cooling water is available at \(30^{\circ} \mathrm{C}\) with a maximum temperature limit of \(50^{\circ} \mathrm{C}\).

Figure 8-3

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Example 8-3 Figure 8-3 shows temperature-time and pressure-time data for the reaction of methanol and acetic anhydride in a 2:1 molar ratio. Using these data, determine the detected onset and final temperatures and the dimensionless adiabatic temperature rise B for this system.