2) Assume you are decaffeinating your coffee by extracting the caffeine out with dichloromethane. Your particular brand of coffee contains 100mg of caffeine in a 200mL cup of water. The partition coefficient af caffeine in dichloromethane/water is 8.0 (it is more soluble in the dichloromethane). Answer the following questions about bow much caffeine would still be in the 200mL of water based on two different approaches. You should solve this algebraically. If you use an equation found on the intemet, you will need to show how it was derived to receive credit. a) How much caffeine would remain in the water after extracting once with 200 mL of dichloromethane? Show your work. b) How much caffeine would remain in the water after extracting twice, each time with 100 mL of dichloromethane? Show your work