Product from a plant flows at a rate of 2 kg/s into a storage vessel holding 80000 kg of material and is then pumped to another process. Owing to a mishap in the plant, the material flowing to storage contains 1% of a contaminant. Assume perfect mixing in the storage vessel in answering the following questions. a) If the flow from storage is 2 kg/s and the contamination of supply lasts for 1 h, what is the peak contamination in the discharge? b) What is the peak contamination in (a) if the discharge is reduced to 1 kg/s? c) For how long would the 1% contamination of supply have to continue before the discharge contamination became 0.8% with flows as in (a)? d) In (a), if the supply contamination ceased completely after 1 h, what further time would elapse before the discharge contamination fell to 0.01%? e) In (a), what supply contamination could be tolerated for 1 h if discharge contamination could be allowed up to 1%? f) Plot (using an appropriate software) the contaminant mass percentage as a function of time for the cases in parts (a) and (b) on the same graph and comment on this phenomenon