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8/6/2019 Tables Complete Final
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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.
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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
'
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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)
Molar Volumeof Soln, V(mL/mol)
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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
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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
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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
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0.00 0.20 0.40 0.60 0.80 1.00 1.20
-4.5000
xetOH
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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)
Molar Volumeof Soln, V(mL/mol)
∆mix
V , expt'l
(mL/mol)
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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
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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)
Molar Volumeof Soln, V(mL/mol)
∆mix
V , expt'l
(mL/mol)
∆mix
V ,
calculated(mL/mol)
Σ (residual)2
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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
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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