The experiment above is repeated, but instead of extracting once with 6 mL the extraction is done three times with 2 mL of dichloromethane each time. How much caffeine will be in each dichloromethane extract?

Complete Question

A student is extracting caffeine from water with dichloromethane. The K value is 4.6. If the student starts with a total of 40 mg of caffeine in 2 mL of water and extracts once with 6 mL of dichloromethane

The experiment above is repeated, but instead of extracting once with 6 mL the extraction is done three times with 2 mL of dichloromethane each time. How much caffeine will be in each dichloromethane extract?

The mass of  caffeine extracted is  

Explanation:

From the question above  we are told that

    The  K value is  

     The  mass of the caffeine is  

      The  volume of water is  

      The volume  of caffeine is  

     The number of times the extraction was done is  n =  3

Generally the mass of  caffeine that will be  extracted is  

substituting values