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Topic: Simple Distillation  (Read 3467 times)

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Offline camptzak

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Simple Distillation
« on: June 30, 2013, 01:25:48 AM »
If you are given the temperature at which an alcohol/water mixture boils, lets say 85°C, can you calculate the mol fractions strictly based on that temperature?

Ethanol boils at 78°C and water boils of course at 100°C

Raoult's Law: Ptotal = Pethanol + Pwater

Ptotal= 760torr

Pethanol= (mol fraction)(P°)        Pwater=(mol fraction)(P°)

assuming you had a table for the pressures of water an ethanol at different temperatures, could you calculate the mol fractions using (X) and (1-X) or something like that?

 
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Offline Borek

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Re: Simple Distillation
« Reply #1 on: June 30, 2013, 03:29:02 AM »
You can use tables, you can read the value from the boiling-point diagram for the water-ethanol mixture.
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Offline curiouscat

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Re: Simple Distillation
« Reply #2 on: June 30, 2013, 03:40:29 AM »
If you are given the temperature at which an alcohol/water mixture boils, lets say 85°C, can you calculate the mol fractions strictly based on that temperature?

Yes.

Quote
assuming you had a table for the pressures of water an ethanol at different temperatures, could you calculate the mol fractions using (X) and (1-X) or something like that?

Yes.

Offline camptzak

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Re: Simple Distillation
« Reply #3 on: June 30, 2013, 01:38:04 PM »
Ok thanks guys, I worked a couple of those out. I know you can use the tables, but I am doing this more to see if I can do it algebraically, just for fun.

Heres a good one,

If you have known mol fractions, can you calculate the bp of the liquid?

Xtoluene=0.3
XCyclohexane=0.7

Raoult's Law

Ptotal= Pcyclohexane+Ptoluene

Ptotal= (0.7)(P°)+(0.3)(P°)

it looks like the temperature pressure curves are expressible as quadratic equations.
lets say for the questions sake
toluene: Y1= X2+2X
Cycolhexane: Y2=2X2+3X

so if Y1+Y2=760 then

(0.7)(2X2+3X)+(0.3)(X2+2X)=760

I just made up these equations for the pressure temperature relationship, so I have no way of verifying if this is the correct way to attack this problem.
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Offline curiouscat

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Re: Simple Distillation
« Reply #4 on: June 30, 2013, 02:14:35 PM »
Approach looks ok to me.

You do realize that mixtures have a Bubble / Dew point and not a single BP?

Offline camptzak

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Re: Simple Distillation
« Reply #5 on: June 30, 2013, 06:42:05 PM »
Approach looks ok to me.

You do realize that mixtures have a Bubble / Dew point and not a single BP?

I did not know what, I don't even know what a dew point is... I am looking at wikipedia now ha. thanks
"Chance favors the prepared mind"
-Louis Pasteur

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