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Monday, January 20, 2014

Phase Diagram of Liquid-Vapor Equilibrium in a Binary System - Experiment of Physical Chemistry - Lu Le Laboratory

Purpose

1.     To construct a phase diagram and find the temperature and composition of the azeotrope.
2.     To study the liquid-vapor equilibrium of a binary system.

Principles

        In an idealized system the boiling point of a mixture of two soluble liquids is always between the boiling points of these two pure components. Figure 1-(a) is a typical ideal system. The upper curve is called the dew point curve representing the changing composition of the vapor phase. The lower curve is known as bubble point  curve representing the composition of liquid phase.


Figure 1.

        A number of homogeneous liquid do not obey Raoult’s lawand as a result the phase diagrams would be different. Large positive deviations from Raoult’s law can result in minimum-boiling azeotrope (Fig. 1-(b)) while large negative deviations can lead to maximum-boiling azeotrope (Fig. 1-(c)). In such systems, there exists a particular composition at which both of the liquid phase and the vapor phase have the same composition. This is called an azeotrope mixture.
        A liquid-vapor phase diagram of a binary system can be constructed by using a reflux apparatus. When a mixture of two soluble liquids is heated to a boiling point, the vapor phase is condensed and trapped in the pocket below the condenser. Under equilibrium conditions, the trapped condensate represents the vapor phase while the liquid remaining in the reservoir represents the liquid phase. The composition of the vapor and the liquid will be determined through the use of a calibration curve of refractive index as a function of compositions. An Abbe refractometer is used in this experiment.

Chemicals

1.     Cyclohexane  (A.R.)
2.     Ethanol 99.9% (A.R.)


Apparatus

1.     Ebullimeter
2.     Abbe refractometer


3.     Pipet and sucker
4.     Thermostatic water bath


Procedure

Drawing the Calibration Curve

1.     Prepare 0%、10%、30%、69.5%、90.0%、96.0%、100%(w/w) ethanol-cyclohexane mixtures with an analytical balance to nearest 0.0001g.
2.     Determine the refractive indexes of these mixtures with an Abbe refractometer and prepare the calibration curve of composition-refractive index.

Determine the Composition of Liquid Phase and Gas Phase

1.     Flow the cooling water into the condenser of the ebulliometer.
2.     Turn the heater on and adjust he voltage to about 20~30V until reflux begins. When the liquid is boiling, control the reflux in the lower portion of the condenser (~2cm).


3.     After the thermometer reading is constant, record the temperature and the the pressure of the atmosphere. Then stop heating the mixture.


4.     Suck drops of liquid phase and gas phase(at the bottom of the condenser) out with pipets. Determine the composition by measuring refractive index and using the calibration curve.
5.     Draw a composition –temperature diagram.
   
Experimental Record

Label
Cyclohexane (g)
Ethanol (g)
Mass Fraction of Cyclohexane (MFC)
nD24.1℃
0%
0.0000
-
0.00000

10%
0.1015
0.9024
10.11057
1.3659
30%
0.3344
0.7231
31.62175
1.3777
69.5%
0.7038
0.2986
70.21149
1.4036
90.0%
0.9130
0.1069
89.51859
1.4188
96.0%
0.9559
0.0492
95.10497
1.4236
100%
-
0.0000
100.00000
1.4270

Mass Fraction of Cyclohexane (MFC)
Tb (℃)
nD24.1℃ of liquid phase
nD24.1℃ of gas phase
0%
78.08
1.3610
1.3614
10%
76.18
1.3627
1.3693
30%
66.83
1.3767
1.3981
69.5%
64.11
1.3966
1.4034
90.0%
64.68
1.4155
1.4056
96.0%
67.58
1.4237
1.4080
100%
79.65
1.4250
1.4250
   
Analysis

(1)  Calibration Curve:


Equation
y = Intercept + B1*x^1 + B2*x^2
Adj. R-Square
0.99985
Value
Standard Error
Index of refraction
Intercept
1.36116
2.83E-04
Index of refraction
B1
4.68E-04
1.64E-05
Index of refraction
B2
1.95E-06
1.58E-07

Calibration Curve
y = 1.36116 + (4.68E-04) x + (1.95E-06) x2

        
(2) Determination of the Composition of Gas Phase and Liquid Phase:

Mass Fraction of Cyclohexane (MFC)
Tb (℃)
nD24.1℃of liquid phase
MFC of Liquid Phase
nD24.1℃ of gas phase
MFC of Gas Phase
0.0%
78.08
1.3610
-0.3%
1.3614
0.5%
10.0%
76.18
1.3627
3.2%
1.3693
16.3%
30.0%
66.83
1.3767
29.6%
1.3981
62.6%
69.5%
64.11
1.3966
60.5%
1.4034
69.9%
90.0%
64.68
1.4155
85.6%
1.4056
72.8%
96.0%
67.58
1.4237
95.6%
1.4080
76.0%
100.0%
79.65
1.4250
97.1%
1.4250
97.1%


(3) Draw the phase diagram with smooth curve



Azeotrope
64.21 ℃
Percentage Weight of Cyclohexane in the Azeotrope
69.9%

        (4) Data Analysis

Experimental Data
Azeotrope
64.21 ℃
Percentage Weight of Cyclohexane in the Azeotrope
69.9%

Literature
Azeotrope
64.90 ℃
Percentage Weight of Cyclohexane in the Azeotrope
69.5%

Percentage Error
Azeotrope
-1.0%
Percentage Weight of Cyclohexane in the Azeotrope
0.6%


References

[1]  傅獻彩, 沈文霞, 姚天揚. 物理化學, 上冊歐4 版. 北京:高等教育出版社, 1990:144.
[2]  清華大學化學系物理化學實驗編寫組. 物理化學實驗. 北京:清華大學出版社, 1991.
[3]  Robert C. Wcast Handbook of Chemistry and Physics. Physics. 58th ed. Ohio: CRC Press, 1977.
[4]  朱文濤. 物理化學. 北京:清華大學出版社,1995.
[5] Ponton, Jack (September 2001). "Azeotrope Databank" (Queriable database). The Edinburgh Collection of Open Software for Simulation and Education, Edinburgh University. Archived from the original on 24 April 2007. Retrieved 24 March 2007.




Monday, October 7, 2013

UV-Visible Spectrophotometric Determination of Phenol in Wastewater-Experiment of Instrumental Analysis

Propose

1.     Learn to use UV-2100 UV-Visible Spectrometer.
2.     Become familiar with the determination of phenol in wastewater.

Principle

Phenol is a chemical substance which is toxic, harmful and unfriendly for the environment. But it is still used in food and drug, so wastewater containing phenol is produced during manufacturing. The most important thing is controlling the concentration of phenol in the wastewater.
    Neutral phenol wastewater has a strong absorption at λmax = 270 nm. We can utilize the characteristic to determine the concentration of phenol in the wastewater according to Lambert-Beer law.

Equipment

1.     Shimadzu UV-2100 uv-Visible Spectrometer

UV-Visible spectrometer

Deuterium lamp

Tungsten lamp

2.     Volumetric flask 100mL x1, 50mL x6


3.     Quartz cuvettes



Chemicals

1.     Standard phenol solution, 1.000 L, 0.3170 g/L
2.     Wastewater

Procedure

1.     Turn on the spectrometer and allow about 30 minutes for warm up.
2.     Fill the blank cuvette with pure water (reference solution). Polish to clean, insert into the cuvette chamber, aligning mark to front. Close chamber cover. Click the blank icon.
3.     Determine the full spectrum of the standard phenol sample.
4.     Set the wavelength at 270 nm. Dilute following samples into 50.00mL with volumetric flasks.


Label
Volume of Standard Phenol Solution
0
0.00 mL
1
2.00 mL
2
4.00 mL
3
6.00 mL
4
8.00 mL
5
10.00 mL

Label
Volume of Unknown
Unknown
2.00 mL


5.     Measure absorption of samples and make a calibration curve with sample 1 to sample 5.
6.     Determine the concentration of phenol of the unknown with the calibration curve.


Results


1.     The full UV spectrum of standard phenol solution (solvent: water).


  
2.     Calibration Curve of Phenol Solution

Label
Absorption (270.00 nm)
Concentration (mg/L)
0
0.000
0.000
1
0.197
12.680
2
0.387
25.360
3
0.571
38.040
4
0.756
50.720
5
0.948
63.400



Equation
y = a + b*x
Adj. R-Square
0.99986
Value
Standard Error
Absorption
Intercept
0.005
0.00305
Absorption
Slope
0.01487
7.95E-05

y = 0.005 + 0.01487*x


3.     Determination of the Unknown

Label
Absorption (270.00 nm)
Unknown
0.416

0.416 = 0.005 + 0.01487*x
=> x = 27.640 mg/L

Concentration of Phenol of the Unknown Sample
27.640 mg/L

    So we can get the molar absorptivity
    (0.416 / ((27.640 mg/L) /1000 / (94.11g/mol))) / (1.00 cm)
  = 1416.42 L mol−1 cm−1

Molar absorptivity of Neutral Phenol solution (270.00 nm)
27.640 mg/L