You want to decaffeinate your coffee by extracting the caffeine out with dichloromethane (they don't do it that way anymore, but they used to). It's too late to extract the caffeine from the coffee beans, because you've already brewed yourself a 200 mL cup of coffee. Your particular brand of coffee contains 100 mg of caffeine in that 200 mL cup. The partition coefficient of caffeine in dichloromethane/water is 9.0 (it is more soluble in the dichloromethane).
How much caffeine would still be in your 200 mL if you did:_____.
A. One extraction using 200 mL ofdichloromethane
B. Two extractions using 100 mL ofdichloromethan each.

Answers

Answer 1

Solution :

Partition coefficient Kd

[tex]$=\frac{\frac{\text{mass of caffeine in } CH_2Cl_2}{\text{volume of } CH_2Cl_2}}{\frac{\text{mass of caffeine in water}}{\text{volume of water}}}$[/tex]

= 9.0

A). 1 x 200 mL extraction :

Let m be the mass of caffeine in the water

Mass of caffeine in [tex]$CH_2Cl_2$[/tex] = 100 - m

[tex]$\frac{\frac{100-m}{200}}{\frac{m}{200}} = 9.0$[/tex]

[tex]$=\frac{100-m}{m} = 9.0$[/tex]

[tex]$= 10 m = 100$[/tex]

m = 10

Mass remaining in coffee = m =  10 mg

B). 2 x 100 mL extraction :

First extraction :

Let [tex]$m_1$[/tex] be the mass of caffeine in the water

Mass of caffeine in [tex]$CH_2Cl_2$[/tex] = [tex]$100-m_1$[/tex]

[tex]$\frac{\frac{100-m_1}{100}}{\frac{m_1}{200}} = 9.0$[/tex]

[tex]$=\frac{100-m_1}{m_1} = 4.5$[/tex]

[tex]$ 5.5 \ m_1 = 100$[/tex]

[tex]$m_1$[/tex]  = 18.18

Mass remaining in coffee = [tex]$m_1$[/tex] =  18.18 mg

Second Extraction :

Let [tex]$m_2$[/tex] be the mass of caffeine in the water

Mass of caffeine in [tex]$CH_2Cl_2$[/tex] = [tex]$18.18-m_2$[/tex]

[tex]$\frac{\frac{18.18-m_2}{100}}{\frac{m_2}{200}} = 9.0$[/tex]

[tex]$=\frac{18.18-m_2}{m_2} = 4.5$[/tex]

[tex]$ 5.5 \ m_2 = 18.18$[/tex]

[tex]$m_2$[/tex]  = 3.3

Mass remaining in coffee = [tex]$m_2$[/tex] =  3.3 mg


Related Questions

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Answers

Answer:

=303.2g

Explanation:

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Solution

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The molar mass of  compound lead sulfate is  207.2 g.

Molar mass of a compound or a molecule is defined as the mass of the elements which are present in it.The molar mass is considered to be a bulk quantity not a molecular quantity. It is often an average of the of the masses at many instances.

Molar masses of an element are given as relative atomic masses while that of compounds is the sum of relative atomic masses which are present in the compound.

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is for my daughter ​

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Answer:

I think you have to freeze the water itself then take the temp with a thermometer ️of each one then record how long it takes each one to start freezing then how long it takes for it to melt

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sorry if I'm wrong but you have to do the experiment yourself then fill it out

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[tex] \huge \colorbox{pink}{Answer☟︎︎︎}[/tex]

When ice melts, liquid water performs the act of erosion by carrying away the tiny rock fragments lost in the split. This specific process (the freeze-thaw cycle) is called frost weathering or cryofracturing. Temperature changes can also contribute to mechanical weathering in a process called thermal stress.

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Answers

Answer: they can combine to form water or hydrogen peroxide.

Explanation:

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Answer:

zoo wee mama

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Answers

Answer:

32.4 kJ

Explanation:

Given that:

Specific heat capacity fo copper, c = 0.9

Mass of copper, m = 700 g

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E = 32382 J

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CAN SOMEONE PLEASE HELP ME I WILL MARK AS BRAINLIEST :(

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Answer:

ok so i did the problem and the answer was 8e+29

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i dont really know what the answer is but thats the answer i got

sorry if this didnt help

NEEED HELP NOW
A new drug has been released to the public and is popular among
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may address this negative side effect?
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B. Looking for improvements
C. Screening
D. Testing

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Answer: looking for improvements

Explanation:

Answer:

B. Looking for improvements

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took the quiz and got in right on a pex

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Answer: Polarity, Boiling and Freezing Points, Specific Heat Capacity, Density, Surface Tension, Heat of Vaporization and Vapor Pressure, Capillary Action, Solid State (Ice), Liquid State (Liquid Water), Gas State (Steam),  

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Answer:

Explanation:

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[tex]Li_{2}O\\[/tex] formed.

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Answers

Answer:

[tex]\boxed {\boxed {\sf 84.313 \ g/mol}}[/tex]

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Answers

Answer:

No

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No, but the total mass of reactants must equal the total mass of products to be a balanced equation.

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In terms of molecules, there are 4 molecules on the left (3 molecular hydrogens (H₂) and 1 molecular nitrogen (N₂) and 2 molecules of ammonia on the right side of equation arrow. ∑reactant molecules ≠ ∑product molecules.

In terms of mass of reactants & mass of products, the 3H₂ + N₂ => 6amu + 28amu = 34amu & mass of products (2NH₃) => 2(14amu) + 6(1amu) = 34amu for sum of product masses.

∑mass reactants = ∑mass products <=> 34amu = 34amu.

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You’re welcome!! Have a good day/night :)

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Answer:

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Answers

Answer:

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Answer:

Explanation:

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Because they were generated from the petrified, buried remains of plants and animals that once lived millions of years ago, coal, crude oil, and natural gas are all referred to as fossil fuels.

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An example of a suspension is:
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C. muddy water
D. milk

Answers

ANSWER:A.blood

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Can I get brainly

PLEASE PLEASE I do not understand may someone kindly help me pls

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Answer:

It can be verified since the information came from a government article. Or you could trust the magzine/general article if its from a well known article. Explanation:

you get the point, you can add on to this. I can't make it the best since im not in your class learning. Good luck

HELP I WILL GIVE YOU BRAINLIST!!!
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Hydrogen and oxygen 1) far from each other on the periodic table

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Answer:

3 grams??

Explanation:

I think this would be the answer you are looking for.

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