Answer:
Theoretical yield is 0,041g of caffeine
Explanation:
The partition coefficient formula is:
[tex]k = \frac{CaffeineDichloromethane}{CaffeineWater}[/tex]
Where k is partition coefficient (4,6)
The Caffeine in water at equilibrium will have a concentration of:
(0,10g-x) / 100mL
And Caffeine in dichloromethane will be:
xg / 15mL -Where x grams are the theoretical yield of caffeine-
Replacing:
[tex]4,6 = \frac{X/15}{(0,10g-X)/100}[/tex]
[tex]4,6 = \frac{100X}{15(0,10g-X)}[/tex]
[tex]4,6 = \frac{100X}{1,5-15X}[/tex]
6,9 - 69X = 100X
6,9 = 169X
0,041 g = X
I hope it helps!
