Aperfectly stirred tank containing 200 gallons of salt solution (brine) with concentration 3 lb salt per gal solution is diluted by addition of brine containing 1 lb ol salt per gal. the brine runs into the tank at a rate of 4 gal per min and the well mixed brine is removed from the tank at the same rate. a. using the above information: (1) draw a simple sketch of the system (2) write down all conservation rate equations applicable to the system (3) list and justify all simplifying assumptions (4) using the simplifying assumptions write down the final forms all the applicable conservation rate equations b. from the final forms of the applicable rate equations obtained in a (4) above set up the appropriate differential equations and calculate: (1) the time required for the salt concentration in the tank to reach 1.01 lb per gal, and (2) the salt concentration in the tank after 1 hour.