tables complete final

8/6/2019 Tables Complete Final

http://slidepdf.com/reader/full/tables-complete-final 1/16

The tables and graphs presented in Sheet 1 are the correspondingmolar volumes and ∆mixV derived from the theoretical mole

fractions of ethanol given.

The tables and graphs presented in Sheets entitled

'Densitometer' and 'Pycnometer' are the corresponding molarvolumes and ∆mixV derived from the actual mole fractions of

ethanol prepared by the groups.



trial 1 trial 2 trial 1 trial2

0.00 32.09 82.19 82.17 50.10 50.08

0.03 | 81.58 81.60 49.49 49.51

0.06 | 81.13 81.11 49.04 49.02

0.09 | 80.67 80.68 48.58 48.59

0.12 | 80.27 80.30 48.18 48.21

0.15 | 79.79 79.79 47.70 47.70

0.18 | 79.40 79.41 47.31 47.32

0.21 | 78.77 78.79 46.68 46.70

0.24 | 78.30 78.32 46.21 46.23

0.30 | 77.44 77.50 45.35 45.41

0.40 | 76.38 76.43 44.29 44.34

0.50 | 75.41 75.41 43.32 43.32

0.60 | 74.34 74.40 42.25 42.31

0.70 | 73.69 73.72 41.60 41.63

0.80 | 73.02 73.05 40.93 40.960.90 | 72.26 72.26 40.17 40.17

1.00 | 71.62 71.65 39.53 39.56

Table 1. Determination of the Mass of Ethanol-Water Solution at different compositions

0.00 0.00 300.00 0.0000

0.03 22.00 278.02 0.0300

0.06 42.09 257.91 0.0600

0.09 60.60 239.40 0.0901

0.12 77.60 222.40 0.1201

0.15 93.29 207.10 0.1498

0.18 107.87 192.25 0.1799

0.21 122.78 177.30 0.2131

0.24 135.20 164.45 0.2433

0.30 157.03 142.87 0.3006

0.40 189.34 110.61 0.4010

0.50 215.99 84.54 0.4997

0.60 237.99 62.22 0.5993

0.70 179.86 30.14 0.7000

0.80 191.77 18.23 0.8044

0.90 289.50 10.50 0.9150

1.00 300.00 0.00 1.0000

Table 6. Actual Molar Compositions of Ethanol-Water Solutions

o e rac onof

ethanol,xetOH

mass of emptypycnometer,

mp(g)

mass of pycnometer withsolution, m

p+s(g)

mass of solution ,m

soln(g)

o e ract onof

ethanol,xetOH

Actual MassEtOH prepared

Actual MassH

2

O prepared

o e ract onof

ethanol,xetOH

'



trial 1 trial 2

0.00 1.0054 1.0014 1.0034 -17.9548

0.03 0.9896 0.9993 0.9945 -16.1831

0.06 0.9846 0.9822 0.9834 -14.4100

0.09 0.9815 0.9745 0.9780 -12.5238

0.12 0.9648 0.9683 0.9666 -10.6832

0.15 0.9585 0.9533 0.9559 -8.7910

0.18 0.9495 0.9478 0.9487 -6.8316

0.21 0.9354 0.9380 0.9367 -4.8664

0.24 0.9239 0.9267 0.9253 -2.8486

0.30 0.9075 0.9078 0.9077 1.3322

0.40 0.8877 0.8864 0.8871 8.5874

0.50 0.8657 0.8651 0.8654 16.2073

0.60 0.8465 0.8452 0.8459 24.1581

0.70 0.8272 0.8300 0.8286 32.3949

0.80 0.8143 0.8170 0.8157 40.76600.90 0.7984 0.8004 0.7994 49.6111

1.00 0.7865 0.7897 0.7881 58.4537

Table 2. Density Measurement of Ethanol-Water Solution using Densitom

trial 1 trial 2

0.00 1.0020 1.0016 1.0018 -17.9834

0.03 0.9898 0.9902 0.9900 -16.2559

0.06 0.9808 0.9804 0.9806 -14.4512

0.09 0.9716 0.9718 0.9717 -12.6050

0.12 0.9636 0.9642 0.9639 -10.7125

0.15 0.9540 0.9540 0.9540 -8.8085

0.18 0.9462 0.9464 0.9463 -6.8486

0.21 0.9336 0.9340 0.9338 -4.8815

0.24 0.9242 0.9246 0.9244 -2.8514

0.30 0.9070 0.9082 0.9076 1.3323

0.40 0.8858 0.8868 0.8863 8.5947

0.50 0.8664 0.8664 0.8664 16.1886

0.60 0.8450 0.8462 0.8456 24.1652

0.70 0.8320 0.8326 0.8323 32.2509

0.80 0.8186 0.8192 0.8189 40.6042

0.90 0.8034 0.8034 0.8034 49.3641

1.00 0.7906 0.7912 0.7909 58.2468

Table 3. density Measurement of Ethanol - Water Solution using Pycnome

Mole Fraction of Ethanol, x

etOH (theo)

Density, ρ (g/mL)Ave.

Density, ρsoln

(g/mL)

Molar Volumeof Soln, V(mL/mol)

Mole Fraction of Ethanol, x

etOH (theo)

Density, ρ (g/mL)Ave.

Density, ρsoln

(g/mL)




0.0000 0.00 0.0000 0.00 0

-0.5206 0.03 -0.5206 -0.53 0.0001

-1.0398 0.06 -1.0398 -1.03 0.0002

-1.4458 0.09 -1.4458 -1.48 0.0015

-1.8974 0.12 -1.8974 -1.91 0.0001

-2.2975 0.15 -2.2975 -2.29 0.0001

-2.6304 0.18 -2.6304 -2.63 0.0000

-2.9574 0.21 -2.9574 -2.94 0.0003

-3.2319 0.24 -3.2319 -3.21 0.0005

-3.6356 0.30 -3.6356 -3.64 0.0000

-4.0212 0.40 -4.0212 -4.03 0.0000

-4.0422 0.50 -4.0422 -4.05 0.0001

-3.7323 0.60 -3.7323 -3.74 0.0002

-3.1363 0.70 -3.1363 -3.16 0.0004

-2.4061 0.80 -2.4061 -2.32 0.0069-1.2018 0.90 -1.2018 -1.27 0.0046

0.0000 1.00 0.0000 0.00 0.0000

ter 0.0148

PARAMETERS

VALUES -16.2 2.98 0.15 -0.75

0.0000

-0.5593

-1.0415

-1.4823

-1.8767

-2.2596 0.00 0.0000 0.0000 0.0000

-2.5866 0.03 -0.5593 -0.5362 0.0005

-2.9064 0.06 -1.0415 -1.0310 0.0001

-3.1632 0.09 -1.4823 -1.4847 0.0000

-3.5534 0.12 -1.8767 -1.8974 0.0004

-3.9140 0.15 -2.2596 -2.2695 0.0001

-3.9431 0.18 -2.5866 -2.6016 0.0002

-3.5895 0.21 -2.9064 -2.8947 0.0001

-3.1268 0.24 -3.1632 -3.1494 0.0002

-2.3966 0.30 -3.5534 -3.5483 0.0000

-1.2597 0.40 -3.9140 -3.9077 0.0000

0.0000 0.50 -3.9431 -3.9262 0.0003

ter 0.60 -3.5895 -3.6493 0.0036

0.70 -3.1268 -3.1133 0.0002

∆mix

V , expt'l

(mL/mol)

o efraction of ethanol,x

etO

∆mix

V , expt'l

(mL/mol)

∆mix

V ,

calculated(mL/mol)

(Residual)2

Σ (residual)2

Table 4. Determination of ∆mix

V using Redlich-Kister Expansion

∆mix

V , expt'l

(mL/mol)

∆mix

V= x1(1-x

1)[a

0+ a

1(2x

1-1) +a

2(2x

1-1)2 + a

3(2x

1-1)3]

ao

a1

a2

a3

fraction of ethanol,x

etO

∆mix

V , expt'l

(mL/mol)

∆mix

V ,

calculated(mL/mol)

(Residual)2

-4

-4

-3

-3

-2

-2

-1-1

-0

0

∆mixV



0.80 -2.3966 -2.3367 0.0036

0.90 -1.2597 -1.3125 0.0028

1.00 0.0000 0.0000 0.0000

0.0122

PARAMETERS

VALUES -15.7 2.72 -0.98 -0.85

Σ (residual)2

Table 5. Determination of ∆mix

V using Redlich-Kister Expansion(

∆mix

V= x1(1-x

1)[a

0+ a

1(2x

1-1) +a

2(2x

1-1)2 + a

3(2x

1-1)3]

ao

a1

a2

a3



0.00 0.20 0.40 0.60 0.80 1.00 1.20

.5000

.0000

.5000

.0000

.5000

.0000

.5000

.0000

.5000

.0000

Densitometer

experimental

calculated

xetOH

-4.0000

-3.5000

-3.0000

-2.5000

-2.0000

-1.5000

-1.0000

-0.5000

0.0000

Pycnometer

Experimental

calculated

∆mixV



0.00 0.20 0.40 0.60 0.80 1.00 1.20

-4.5000

xetOH



0.0000 1 17.9548 0.0000

0.0300 0.99 18.9616 -0.2081

0.0600 0.98 20.0314 -0.35330.0901 0.98 21.0054 -0.5983

0.1201 0.97 22.1237 -0.6950

0.1498 0.96 23.2429 -0.7786

0.1799 0.95 24.3094 -0.9312

0.2131 0.94 25.6150 -0.9701

0.2433 0.93 26.8462 -0.9620

0.3006 0.91 29.1375 -0.9912

0.4010 0.89 32.9889 -1.2059

0.4997 0.87 37.0155 -1.1766

0.5993 0.85 41.1717 -1.0541

0.7000 0.83 45.4404 -0.8636

0.8044 0.82 49.7493 -0.7828

0.9150 0.8 54.6448 -0.3666

1.0000 0.79 58.4537 0.0000

xetOH (actual)

Ave. Density,ρ

soln(g/mL)


∆mix

V , expt'l

(mL/mol)



0.6

50.6864 17.9548 -7.7674

51.8223 17.9378 -6.6145

52.7945 17.8923 -5.596853.6247 17.8253 -4.6996

54.3249 17.7434 -3.9174

54.9091 17.6525 -3.2424

55.4052 17.5548 -2.6486

55.8567 17.4447 -2.0871

56.1935 17.3453 -1.6508

56.6795 17.1651 -0.9846

57.2059 16.8852 -0.1783

57.5162 16.6327 0.3845

57.7602 16.3341 0.9271

57.9951 15.8940 1.6022

58.2248 15.1871 2.5388

58.4041 14.0681 3.8370

58.4537 12.9249 5.0299

Table #. Partial molar volume of ethanol(1) and water(2) -

1-1)3]

Vp,1

Vp,2

∂∆mix

V

---------- ∂x1

a3

0

experimental

calculated

0 0.2000 0.4000 0.6000 0.8000 1.0000 1.2000

Vpm vs XetOH

ethanol

water

xetOH



0.0000 1.0018 17.9834 0.0000 0.0000

0.0300 0.9900 19.0478 -0.1435 -0.1777

0.0600 0.9806 20.0886 -0.3106 -0.33700.0901 0.9717 21.1416 -0.4696 -0.4786

0.1201 0.9639 22.1857 -0.6334 -0.6019

0.1498 0.9540 23.2892 -0.7256 -0.7072

0.1799 0.9463 24.3710 -0.8558 -0.7977

0.2131 0.9338 25.6946 -0.8690 -0.8799

0.2433 0.9244 26.8723 -0.9072 -0.9398

0.3006 0.9076 29.1407 -0.9459 -1.0191

0.4010 0.8863 33.0187 -1.1103 -1.0730

0.4997 0.8664 36.9727 -1.1303 -1.0578

0.5993 0.8456 41.1863 -0.9270 -1.0065

0.7000 0.8323 45.2384 -0.9294 -0.9266

0.8044 0.8189 49.5549 -0.8164 -0.7843

0.9150 0.8034 54.3727 -0.4517 -0.4703

1.0000 0.7909 58.2468 0.0000 0.0000

xetOH (actual)

Ave. Density,ρ

soln(g/mL)


∆mix

V , expt'l

(mL/mol)

∆mix

V ,

calculated(mL/mol)

Σ (residual)2



PARAMETERS

VALUES -4.23 0.75 -2.5 -1.25

0.0000

0.0012

0.00070.0001

0.0010

0.0003

0.0034

0.0001

0.0011

0.0054

0.0014

0.0052

0.0063

0.0000

0.0010

0.0003

0.0000

0.0275

(Residual)2

∆mix

V= x1(1-x

1)[a

0+ a

1(2x

1-1) +a

2(2x

1-1)2 + a

3(2x

1-1)3]

ao

a1

a2

a3

0.0000 0.2000 0.4000 0.6000 0.8000 1.0000 1.2000

-1.2000

-1.0000

-0.8000

-0.6000

-0.4000

-0.2000

0.0000

experiment

calculated

0.0000 0.2000

0.0000

10.0000

20.0000

30.0000

40.0000

50.0000

60.0000

70.0000



52.0142 17.9834 -6.2326

52.6212 17.9742 -5.6164

53.2058 17.9467 -5.004353.7624 17.9015 -4.4025

54.2816 17.8406 -3.8224

54.7565 17.7666 -3.2735

55.1952 17.6801 -2.7484

55.6273 17.5746 -2.2107

55.9728 17.4726 -1.7631

56.5070 17.2741 -1.0304

57.1016 16.9588 -0.1205

57.3752 16.7396 0.3722

57.4980 16.5917 0.6430

57.6163 16.3660 0.9870

57.8294 15.6906 1.8754

58.1241 13.7721 4.0885

58.2468 10.7523 7.2312

Table #. Partial molar volume of ethanol(1) and water(2) - Pycno

Vp,1

Vp,2

∂∆mix

V ----------

∂x1

al

0.4000 0.6000 0.8000 1.0000 1.2000

ethanol

water

tables complete final

Documents