Methyl methacrylate (MMA) is used to make polyacrylates, for example, by BASF at their Wyandotte site outside Detroit, MI. MMA is not stable in storage, thus it includes 4-methoxyphenol (MEHQ) as an inhibitor (I), which slowly decays in storage. MMA must be stored at 15-25 C, and the tank of liquid MMA must be continuously stirred. In this problem, assume you are a Sr. Engineer working in Wyandotte, and the production plant goes down such that MMA is not consumed on schedule. The inhibitor is continuously decaying with rate expression: -r_I= k*C_I^2 If the concentration of the inhibitor drops below 100 ppm, an uncontrolled, exothermic polymerization could occur, which could lead to a dangerous runaway reaction in the storage vessel. Assume the initial concentration of inhibitor is 1000 ppm. Assume the MMA in the vessel is continuously stirred and isothermal at 293 K, such that this can be modeled as a BSTR. Here is some additional information to help you: Vessel volume: 60 m3 Volume of MMA in vessel: 30 m3 Density of MMA: 940 kg m-3 Initial concentration of inhibitor in MMA tank: 1000 ppm (by moles) Rate constant (at 293 K): 2*10-4 m3 mol-1 s-1 (1) How long do you have to get the production plant running before an unsafe state is reached? (2) Why might the unsteady state be reached prior to that predicted time, as the inhibitor concentration approaches 100 ppm and polymerization begins? (3) What safety measures could be taken to prevent injury or damage to the s