IV
Volume  Relation to Pressure
The preceding papers in this series have developed the general
characteristics of the liquid state from new fundamental theory and have
shown that on this new theoretical basis the volume of a liquid molecule
consists of three separate components which respond to changes in temperature
in the foil owing manner: the initial component remains constant, the
second component varies in direct proportion to the effective temperature,
and the third component is generated isothermally at the critical temperature.
Because of the distribution of molecular velocities in the liquid aggregate
the number of molecules which are individually at or above the critical
temperature is a matter of probability and the third volume component
of a liquid aggregate therefore followers a probability function which
represents the proportion of critical molecules in the total.
This paper will extend the volume relationships to liquids
under pressure and will show that in its general aspects the response
to variations in pressure is identical with the response to variations
in temperature; that is, the initial component remains constant, the second
component varies in direct proportion to the reciprocal of the effective
pressure, and the third volume component of the aggregate follows a probability
function for the same reasons as in the case of temperature variations.
Equation (3), the volumetemperature relation previously developed, can
therefore be extended to apply to liquids under pressure.
In calculating the volume of a liquid at temperature T and
pressure P, we first determine the three volume components at temperature
T and saturation pressure in the manner described in paper II. We will
call these components V_{I}, V_{II}, and V_{III}.
The initial component, V_{I}, is not affected by either temperature
or pressure. The second component, V_{II}, responds to an increase
in effective pressure in the same manner as to a decrease in effective
temperature. It should be noted, however, that this effective pressure
includes the pressure equivalent of the cohesive force between the liquid
molecules and an evaluation of this initial pressure, as we will call
it, is the first step toward a determination of the second volume component
at pressure P.
The unit of pressure corresponding to the 510.2 degree temperature
unit is 415.84 atm. or 429.8 kg/cm^{2}, where the initial specific
volume, V_{0}, is 1.00. In order to avoid an extended theoretical
discussion at this point we will consider this as an empirically determined
value for the present, as was done with the temperature unit. For any
value of V_{0} other than unity the pressure unit becomes 415.84./V_{0}^{2/3}
atm. This is the pressure exerted against each independent liquid unit
within the liquid molecule. The external pressure is exerted against the
molecule as a whole rather than against the individual units and where
there arc n_{v} units in the liquid molecule, the pressure exerted
against each unit is P/n_{v}. For purposes of calculation, however,
it will be more convenient to use the external pressure as the reference
value and on this basis the external pressure is P and the initial pressure
is
P_{0} = 415.84 n_{v} /V_{0}^{2/3}
atm.

(7)

Since the application of pressure is not exactly equivalent to a decrease
in thermal energy it is quite possible that the nature of the atomic association
that participates in the pressure process may differ from that which participates
in the temperature process. The values of n_{v} applicable to
equation (7) are therefore not necessarily identical with those, which
were arrived at in paper III in connection with the evaluation of V_{0}.
Such equality is quite common but there is a tendency to split up into
a larger number of units in the pressure process, particularly in the
case of the smaller molecules. In the limiting condition each atom is
acting independently.
It should also be remembered that the previous determination
of n_{v} was concerned only with a ratio: the number of volumetric
units corresponding to the mass represented by the formula molecule. The
initial pressure calculation, on the other hand, requires a knowledge
of the absolute number of individual liquid units in the actual molecule
and where the liquid molecule comprises two or more formula molecules
the value of n_{v} applicable to equation (7) is the corresponding
multiple of the value previously found. The value of n_{v} used
in calculating the Cs_{2} volumes in Table II3, for instance,
is 3, where we now find that the value that must be used in equation (7)
is 9. This does not conflict with the previous determination; it merely
means that the true liquid molecule is (CS_{2})_{3}.
Another factor, which enters into the calculation of VII,
is that above 510.2° K part of the V_{II} component is subject
to only onesixteenth of the total initial pressure. A complete theoretical
explanation of this situation which exists beyond the unit temperature
level is not available as yet, but it has been found that the proportion
of high temperature volume at any temperature of observation can be computed
from the normal probability function using 510.2° K as the base and onefourth
of this value as the probability unit. Up to 2/3 of 510.2° the lower initial
pressure is applicable to the full amount thus calculated, beyond 8/9
of 510.2° it is applicable to half of the calculated value, and in between
these points the effective proportion decreases linearly.
Turning now to the third component, V_{III}, we
first obtain from our previous calculations the figure representing the
number of probability units between temperature T and the critical temperature.
Since this quantity will play an important part in the volume determinations
it will be desirable to give it a name for convenient reference and we
will therefore call it the probability index. To this probability index
at saturation pressure we now add the increment corresponding, to the
applied pressure, taking the previously established value 415.84 atm.
as the probability unit. If the index is above 1.15 at saturation pressure
we can proceed directly to a determination of V_{III}, first obtaining
from the probability tables the probability value corresponding to the
probability index at each individual pressure and then multiplying each
of these probabilities by V_{3}, the third dimensioned value of
V_{0}, to obtain V_{III}.
If the probability index is below 1.15 at saturation pressure
the B component of the probability expression ½(f_{A}
+ f_{B}) has an appreciable magnitude
and this introduces an additional operation into the calculations. The
nature of this B component was not indicated very clearly by the way in
which it enters into the computation of the saturation volume but its
behavior under pressure is more enlightening. We have previously found
that the A probability represents the proportion of the total number of
molecules which have individually reached the critical temperature and
consequently have acquired a volume component in the third dimension.
These molecules are still subject to the cohesive forces of the liquid;
that is, to the liquid initial pressure. Now we find that as the average
temperature of the aggregate approaches closer to the critical temperature
and more thermal energy is available some of the molecules escape from
the cohesive forces, doubling their volume in the process. The B component
of the probability represents the proportion of molecules in this condition
and the expression ½f_{B} V_{3}
is the volume added by this process at saturation pressure. The total
volume of these B molecules at saturation is then twice this amount, or
0_{B} V_{3}, and the A portion of the V_{III}
volume, the part still subject to the initial pressure, is ½(f_{A}
+ f_{B}) V_{3}. Dividing ½(f_{A}
+ f_{B}) by ½f_{A}
gives us the percentage reduction in the A volume due to molecules shifting
to the B status.
We now calculate the total A volume at each pressure by
means of the expression ½ f V_{3} and
apply the foregoing reduction factor to arrive at the portion of the volume
still remaining in the A condition. The B volume is subject only to the
externally applied pressure and it varies in in_{v}erse proportion
to that pressure. The effective volume at each pressure P is therefore
obtained by application of the factor P_{S}/P to f_{B}
V_{3}, the B volume at saturation pressure P_{S}.
As can be seen from this description, the whole operation
of calculating the liquid volumes under pressure is carried out entirely
on the basis of values previously determined in the course of computing
the volumes at saturation pressure, with the exception of those cases
where n_{v} must be redetermined, either because of an actual
difference in the internal behavior of the molecule or because the liquid
molecule is composed of more than one formula molecule. There are no "adjustable
constants" which can be manipulated to fit the observed values; the volumes
under pressure must conform to a fixed pattern in each case, or if there
is any element of uncertainty present, must conform to some one of two
or three possible alternate patterns. These are very stringent requirements
and the degree of correlation between the calculated and observed volumes
as shown by the tabulations, which follow, is therefore highly significant
as an indication of the validity of the new theoretical principles on
which the work is based.
To illustrate the method of calculation let us consider
heptane at 30° C. By the methods of paper III we determine that n_{v}
for heptane is 9 and the three values of the geometric factor are .9878,
.9636, and 1.000. From these figures we obtain V_{1} = .9346,
V_{2} = .9117, and V_{3} = .9461. Entering equation (3)
with these three values we then calculate the volume components at 30°
C and saturation pressure, obtaining V_{I} = .9346, V_{II}
= .5417, and V_{III} = .0038. From our probability tables we find
that at 30° C the volume originating above 510.2° K is 5.3 percent of
the total V_{II} component, and on this basis we separate V_{II}
into two parts: V_{II}(L) = .5130 and V_{II}(H) = .0287.
Applying the previously determined values n_{v} = 9 and V_{0}
= .9461 to equation (7) we find that the initial pressure, P_{0},
effective against V_{II} (L) is 3884 atm. The initial pressure
effective against V_{II}(H) is then 1/16 x 3884 = 243 atm. To
find the V_{II} components at each pressure we now reduce the
saturation values of V_{II}(L) and V_{II}(H) by the effective
pressure ratios. P_{n}/(P + P_{0}) and P_{0}/(16P
+ P_{0}) respectively. The results are shown in columns 2 and
3 of Table IV1.
Next we evaluate the probability index at 30° C and saturation
pressure by the methods of paper II, obtaining the value 2.68. To this
we add the increment corresponding to each pressure, which we obtain by
dividing the increase in pressure above the saturation level by 415.84
atm. The composite probability indexes thus derived are shown in column
4 of the table. Column 5 gives the values of ½f
corresponding to each index. Multiplying each of these values of ½f
by .9461 we arrive at the V_{III} component for each pressure
as shown in column 6. Column 7 then indicates the total theoretical volume
of the liquid aggregate, the sum of V_{I} (constant at .9346),
V_{II}(L) from column 2, V_{II}(H) from column 3, and
V_{III} from column 6. Column 8 shows the corresponding measured
volumes for comparison.
In order to carry the comparisons into the pressure range
above 351 atm., the highest pressure reached in the set of measurements
listed in Table IV1, we now turn to the work of Bridgman who gives us
a set of values at 50° C, with the first observation at 1000 kg/cm^{2}
(approximately 1000 atm.) and increasing by steps of 1000 kg/cm^{2}
to a maximum of 10,000 kg/cm^{2}. Bridgman's results are reported
as relative volumes based on the volume at 0° C and atmospheric pressure
as the reference level. Our first requirement, therefore, is to compute
from equation (3) the volume under these reference conditions, which we
find to be 1.424 cm^{3}/g. m is value can then be used as a conversion
factor to reduce the calculated volume components at 50° C and saturation
pressure to Bridgman's relative basis. By this means we arrive at the
following volumes: V_{I} = .656, V_{II}(L) = .377, and
V_{II}(H) = .029. V_{III} is negligible in the pressure
range of this work and can be disregarded. The volumes under pressure
are then calculated in the manner described in the preceding paragraphs.
Table IV2 compares the results with Bridgman's values.
Table IV3 summarizes the results of a number of similar
calculations in the relatively lowpressure field. Since all of these
calculations follow the regular pattern without exception, intermediate
data such as the probability indexes have been omitted and the table shows
only the separate volume components and the tot al calculated and measured
volumes. The objective of the comparisons in this table is to show that
there is a wide range of temperatures and substances in which the calculated
and measured volumes agree within 0.5 percent at all experimental pressures.
In some of the other sets of measurements, which have been examined during
this investigation, the agreement is less satisfactory in certain portions
of the pressure range but the general trend of the values follow the theoretical
pattern in all cases.
The preceding papers have stressed the fact that the temperature
term in equation (3) refers to the effective temperature: a quantity which
is commonly identical with the measured temperature, but not necessarily
so. The same is true of the pressure factors with which we are dealing
in this paper. We have already seen that the pressure effective against
the V_{II} volume component is substantially reduced beyond the
unit temperature level (510.2° K). In some substances, chiefly outside
the organic division, the pressure applicable to the V_{III} component
is also subject to a reduction from P to P/n_{p} and two examples
of this kind are included in Table IV3: H_{2}S (n_{p}
= 2) and NH_{3} (n_{p} = 3).
Table IV4 presents some further comparisons with Bridgman's
measurements in the range up to 12,000 kg/cm^{2}. Some of his
more recent work has extended to considerably higher pressures' reaching
a level of 50,000 kg/cm^{2} in a few instances. At these extreme
pressures the transition to the solid state is well under way and the
volumes of the liquid aggregates are modified quite substantially by the
presence of solid molecules. Consideration of the volume situation in
this pressure range will therefore be deferred to the next paper in this
series, which will examine the characteristics of the liquidsolid transition.
Some of the results at 12,000 kg/ cm^{2} and below are also subject
to this solid state effect and in these cases the tabular comparisons
have not been carried beyond the point where the volume decrease due to
solid molecules amounts to more than about .002. Double asterisks in the
column of observed volumes indicate omissions due to this cause.
As mentioned in a previous paper, the scope of this investigation
has been so broad that it has been physically impossible to study the
"fine structure" of all of the relationships that have been covered, and
it is quite possible that there may be factors of this kind which would
alter the results slightly. Some additional uncertainty has been introduced
by the use of the measured values of the vapor pressure at saturation.
Since these uncertainties probably amount to something in the neighborhood
of 0.1 percent there is no particular advantage in carrying the calculations
to any higher degree of accuracy and it does not appear that such refinements
as additional decimal places, fractional values of the probability indexes,
etc., are justified at this stage of the project.
TABLE IV  1

LIQUID COMPRESSION  HEPTANE  30° C

P_{0} = 3884 atm.
 V_{1} = .9346
 V_{2} = .9117
 V_{3} = .9461 cm^{3}/g

P(atm.)
 V_{II}(L)
 V_{II}(H)
 P.I.
 ½f
 V_{III}(A)
 V_{III}(B)
 V(calc)
 V(obs)^{13}

0
 .5130
 .0287
 2.68
 .004
 .0038

 1.480
 1.480

7.12
 .5121
 .0279
 2.70
 .003
 .0028

 1.477
 1.479

19.08
 .5105
 .0266
 2.73
 .003
 .0028

 1.475
 1.476

31.04
 .5089
 .0254
 2.75
 .003
 .0028

 1.475
 1.472

43.00
 .5074
 .0244
 2.78
 .003
 .0028

 1.469
 1.470

52.31
 .5062
 .0236
 2.81
 .002
 .0019

 1.466
 1.467

82.20
 .5024
 .0214
 2.88
 .002
 .0019

 1.460
 1.761

112.10
 .4986
 .0196
 2.95
 .002
 .0019

 1.155
 1.455

171.09
 .4913
 .0168
 3.09
 .001
 .0009

 1.444
 1.444

231.68
 .4841
 .0147
 3.24
 
 

 1.433
 1.433

291.46
 .4772
 .0130




 1.425
 1.423

351.25
 .4705
 .0117




 1.417
 1.413

TABLE IV  2

LIQUID COMPRESSION  HEPTANE 50° C

P_{0} = 4013 kg/cm^{3}
 V_{1} = .656
 V_{2} = .406 (relative)

P
 V_{II}(L)
 V_{II}(H)
 V(calc)
 V(obs)^{14}
 P
 V_{II}(L)
 V_{II}(H)
 V(calc)
 V(obs)

1000
 .302
 .006
 .964
 .958
 6000
 .151
 .001
 .808
 .815

2000
 .252
 .003
 .911
 .908
 7000
 .137
 .001
 .794
 .800

3000
 .261
 .002
 .874
 .875
 8000
 .126
 .001
 .783
 .7875

4000
 .189
 .002
 .847
 .851
 9000
 .116
 .001
 .773
 .776

5000
 .168
 .001
 .825
 .831
 10000
 .108
 .001
 .765
 .766

TABLE IV  3

LIQUID COMPRESSION (LOW PRESSURES)

Basic Factors

 V_{1}
 V_{2}
 V_{3}
 Units
 P_{0}

Propane
 .8253
 .8253
 .8436
 cu.ft./lb. mole
 48860
 psi

Butane
 .017103
 .017103
 .017419
 cu.ft./lb.
 52014
 psi

Pentane
 .016116
 .016116
 .016371
 cu.ft,/lb.
 54218
 psi

Hexane
 1.3314
 1.3131
 1.3498
 cu.ft./lb. mole
 55839
 psi

 83.11
 81.97
 84.26
 cm^{3}/g mole
 3800
 atm.

Heptane
 1.5002
 1.4635
 1.5187
 cu.ft./lb. mole
 57077
 psi

 .9346
 .9117
 .9461
 cm^{3}/g
 3884
 atm.

Octane
 .9120
 .8819
 .9221
 cm^{3}/g
 4389
 atm.

Nonane
 1.8378
 1.7640
 1.8558
 cu.ft./lb. mole
 71940
 psi

2Methyl propane
 .017416
 .017416
 .018867
 cu.ft./lb.
 46239
 psi

3Methyl pentane
 .9512
 .9512
 .9778
 cm^{3}/g
 3800
 atm.

2,2Dimethyl butane
 .9712
 .9712
 .9778
 cm^{3}/g
 4222
 atm.

2,3Dimethyl butane
 .9578
 .9512
 .9778
 cm^{3}/g
 3800
 atm.

2,2,4Trimethyl pentane
 .9221
 .9019
 .9221
 cm^{3}/g
 4389
 atm.

Propene
 .018045
 .018045
 .018045
 cu.ft./lb.
 50805
 psi

1Butene
 .9278
 .9278
 1.0123
 cu.ft./lb. mole
 71798
 psi

1Pentene
 .9762
 .9762
 1.0513
 cm^{3}/g
 5916
 atm.

Benzene
 .011547
 .011547
 .012962
 cu.ft./lb.
 84456
 psi

Ammonia
 .9642
 1.0655
 1.0823
 cm^{3}/g
 6312
 atm.

Hydrogen Sulfide
 .4033
 .4033
 .4217
 cu.ft./lb. mole
 87102
 psi

In the second section of this table, which follows, the
values of the individual volume components are given in the following
units: cm^{3}/g x 10^{4}, cu.ft./lb. x 10^{6},
cm^{3}/g mole x 10^{2}, cu.ft./lb. mole x 10^{4}.
Total volumes are exnpessed in the units listed above.
Specific Volumes
Propane 100° F (15)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 4660
 235
 1220
 9
 1.438
 1. 441

2000
 4568
 186
 921
 5
 1.393
 1.394

3000
 4479
 155
 697
 3
 1.359
 1.358

4000
 4394
 132
 514
 2
 1.330
 1.329

5000
 1312
 115
 365
 2
 1.305
 1.307

6000
 4234
 102
 257
 2
 1.285
 1.287

7000
 4157
 92
 174
 1
 1.268
 1.269

8000
 4084
 83
 116
 1
 1.254
 1.254

9000
 4013
 76
 75
 1
 1.242
 1.240

10000
 3945
 71
 50
 1
 1.232
 1.227

Propane 190° F (15)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 5150
 556
 1172
 2302
 1.751
 1.768

2000
 5048
 434
 991
 1191
 1.592
 1.606

3000
 4949
 355
 819
 794
 1.517
 1.525

4000
 4855
 301
 667
 595
 1.467
 1.471

5000
 4764
 261
 526
 476
 1.428
 1.431

6000
 4676
 230
 411
 397
 1.397
 1.396

7000
 4592
 206
 341
 340
 1.371
 1.371

8000
 4510
 187
 230
 298
 1.348
 1.348

9000
 4431
 170
 169
 265
 1.329
 1.327

10000
 4355
 157
 118
 238
 1.312
 1.308

Butane 100° F (16)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 9641
 477
 784

 .02801
 .02808

2000
 9163
 385
 540

 .02749
 .02755

3000
 9290
 323
 383

 .02710
 .02714

4000
 9124
 278
 244

 .02675
 .02679

5000
 8964
 244
 157

 .02647
 .02649

6000
 8810
 218
 105

 .02624
 .02621

7000
 8660
 196
 70

 .02603
 .02597

8000
 8516
 179
 35

 .02583
 .02575

9000
 8376
 164
 17

 .02566
 .02553

10000
 8241
 152
 0

 .02550
 .02534

Butane 280° F (16)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 11591
 1762
 2519
 3873
 .03685
 .03719

2000
 11375
 1396
 2112
 1937
 .03392
 .03414

3000
 11167
 1156
 1739
 1291
 .03246
 .03252

4000
 10966
 987
 1399
 968
 .03142
 .03146

5000
 10772
 860
 1113
 775
 .03062
 .03066

6000
 10585
 763
 860
 646
 .02996
 .03000

7000
 10401
 685
 660
 554
 .02941
 .02943

8000
 10229
 622
 480
 484
 .02892
 .02895

9000
 10061
 569
 353
 430
 .02852
 .02854

10000
 9897
 525
 247
 387
 .02816
 .02815

Heptane 200° C (13)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

52.6
 6749
 1389
 1754
 40
 1.928
 1.926

112.4
 6648
 1148
 1403
 19
 1.856
 1.846

172.1
 6550
 979
 1125
 12
 1.801
 1.793

231.9
 6454
 853
 882
 9
 1.754
 1.751

291.7
 6362
 756
 675
 7
 1.715
 1.718

351.5
 6272
 678
 513
 6
 1.682
 1.690

0ctane 100° C (27)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

50
 5606
 660
 111

 1.550
 1.547

100
 5544
 571
 83

 1.532
 1.530

150
 5483
 504
 55

 1.516
 1.514

200
 5423
 451
 46

 1.504
 1.501

250
 5364
 408
 28

 1.492
 1.489

300
 5307
 372
 18

 1.482
 1.477

0ctane 125° C (27)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

50
 5855
 818
 221

 1.601
 1.602

100
 5789
 708
 166

 1.578
 1.580

150
 5726
 624
 129

 1.560
 1.560

200
 5663
 558
 92

 1.543
 1.544

250
 5602
 505
 65

 1.529
 1.529

300
 5542
 461
 46

 1.517
 1.516

0ctane 150° C (27)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

50
 6100
 977
 406

 1.660
 1.662

100
 6032
 846
 314

 1.631
 1.634

150
 5966
 745
 240

 1.607
 1.610

200
 5901
 666
 175

 1.586
 1.589

250
 5837
 603
 129

 1.569
 1.571

300
 5775
 550
 92

 1.554
 1.554

Pendane 100° F (17)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 9086
 449
 262

 .02591
 .02598

2000
 8924
 366
 180

 .02559
 .02564

3000
 8768
 308
 115

 .02531
 .02534

4000
 8618
 267
 65

 .02507
 .02505

5000
 8472
 235
 49

 .02487
 .02481

6000
 8331
 210
 33

 .02468
 .02460

7000
 8195
 189
 16

 .02452
 .02442

8000
 8064
 173
 0

 .02435
 .02424

9000
 7936
 159


 .02421
 .02407

10000
 7812
 147


 .02408
 .02394

Pentane 340° F (17)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 11605
 1910
 3058
 1735
 .03442
 .03480

2000
 11398
 1532
 2520
 867
 .03243
 .03256

3000
 11197
 1280
 2057
 578
 .03123
 .03120

4000
 11004
 1098
 1631
 434
 .03028
 .03026

5000
 10817
 962
 1279
 147
 .02952
 .02950

6000
 10636
 856
 964
 289
 .02886
 .02886

7000
 10462
 771
 723
 248
 .02832
 .02831

8000
 10293
 701
 519
 217
 .02785
 .02786

9000
 10129
 643
 371
 193
 .02745
 .02750

10000
 9971
 594
 259
 174
 .02711
 .02721

Hexane 160° F (18)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 7862
 657
 243

 2.210
 2.219

2000
 7746
 537
 162

 2.176
 2.187

3000
 7614
 454
 112

 2.149
 2.159

4000
 7487
 393
 70

 2.126
 2.133

5000
 7364
 347
 42

 2.107
 2.110

6000
 7245
 310
 28

 2.090
 2.089

7000
 7129
 281
 14

 2.074
 2.071

8000
 7018
 256
 0

 2.059
 2.054

9000
 6909
 236


 2.046
 2.039

10000
 6804
 218


 2.034
 2.025

Octane 175° C (27)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

50
 6415
 1078
 719

 1.733
 1.732

100
 6344
 933
 572

 1.697
 1.697

150
 6274
 822
 443

 1.666
 1.664

200
 6205
 735
 350

 1.641
 1.638

250
 6139
 664
 258

 1.618
 1.616

300
 6073
 606
 203

 1.600
 1.596

Octane 200° C (27)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

50
 6533
 1356
 1145
 2
 1.816
 1.808

100
 6460
 1172
 934
 1
 1.769
 1.760

150
 6389
 1033
 751
 1
 1.729
 1.721

200
 6319
 922
 605
 0
 1.697
 1.689

250
 6251
 834
 476

 1.668
 1.663

300
 6184
 760
 366

 1.643
 1.640

3Methyl Pentane 150° C (28)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

49.0
 6584
 1058
 1420
 7
 1.858
 1.847

101.5
 6496
 891
 1169
 3
 1.807
 1.794

154.1
 6409
 769
 937
 2
 1.763
 1.755

206.7
 6325
 676
 734
 2
 1.725
 1.723

259.4
 6243
 603
 589
 1
 1.695
 1.696

311.8
 6163
 545
 444
 1
 1.667
 1.673

2,2Dimettyl Butane 100° C (29)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

50
 6182
 731
 655

 1.728
 1.730

100
 6111
 630
 518

 1.697
 1.696

150
 6041
 553
 401

 1.671
 1.670

200
 5972
 493
 303

 1.648
 1.667

250
 5906
 445
 235

 1.630
 1.627

300
 5840
 405
 176

 1.613
 1.606

2,3Dimethyl Butane 100° C (30)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

48.9
 6040
 706
 508

 1.683
 1.686

101.5
 5959
 596
 381

 1.651
 1.658

154.1
 5879
 515
 293

 1.627
 1.635

206.7
 5802
 454
 215

 1.605
 1.613

252.4
 5737
 411
 166

 1.589
 1.595

311.8
 5654
 366
 117

 1.572
 1.570

Hexane 400° F (18)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 9707
 2037
 2584
 1073
 2.072
 2.886

2000
 9539
 1646
 2136
 537
 2.717
 2.705

3000
 9376
 1381
 1728
 358
 2.616
 2.596

4000
 9219
 1189
 1361
 268
 2.535
 2.519

5000
 9066
 1045
 1052
 215
 2.469
 2.458

6000
 8919
 931
 807
 179
 2.415
 2.408

7000
 8776
 840
 567
 153
 2.367
 2.368

8000
 8630
 765
 432
 134
 2.328
 2.333

9000
 8505
 702
 310
 119
 2.295
 2.301

10000
 8375
 649
 212
 107
 2.266
 2.272

Heptane 40° F (19)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 7558
 212
 15

 2.278
 2.284

2000
 7430
 174
 0

 2.261
 2.266

3000
 7306
 147


 2.246
 2.250

4000
 7186
 128


 2.232
 2.234

5000
 7071
 113


 2.219
 2.220

6000
 6959
 101


 2.206
 2.207

7000
 6850
 91


 2.194
 2.195

8000
 6745
 84


 2.183
 2.184

9000
 6643
 77


 2.172
 2.172

10000
 6544
 71


 2.162
 2.160

Heptane 100° F (19)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 8256
 412
 46

 2.372
 2.373

2000
 8116
 338
 30

 2.349
 2.352

3000
 7981
 286
 15

 2.328
 2.333

4000
 7850
 248
 0

 2.310
 2.315

5000
 7724
 219


 2.295
 2.298

6000
 7601
 197


 2.280
 2.282

7000
 7483
 178


 2.266
 2.267

8000
 7368
 163


 2.253
 2.252

9000
 7256
 150


 2.241
 2.236

10000
 7148
 139


 2.229
 2.222

Nonane 220° F (20)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 11281
 1325
 130

 3.111
 3.12

2000
 11128
 1321
 23

 3.072
 3.08

3000
 10960
 972
 56

 3.039
 3.04

4000
 10835
 857
 37

 3.011
 3.01

5000
 10694
 767
 19

 2.986
 2.980

6000
 10557
 694
 0

 2.963
 2.956

7000
 10423
 633


 2.943
 2.935

8000
 10293
 583


 2.925
 2.916

9000
 10166
 540


 2.908
 2.895

10000
 10042
 502


 2.892
 2.872

2,3Dimethyl Butane 125° C (30)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

48.9
 6316
 878
 880

 1.765
 1.763

101.5
 6231
 740
 704

 1.725
 1.726

154.1
 6148
 639
 548

 1.691
 1.696

206.7
 6067
 563
 430

 1.664
 1.666

259.4
 5988
 503
 323

 1.639
 1.645

311.8
 5912
 454
 235

 1.618
 1.623

2,2,4Trimethyl Pentane 100° C (31)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

50
 5739
 678
 184

 1.582
 1.582

100
 5675
 587
 138

 1.562
 1.563

150
 5612
 518
 101

 1.545
 1.545

200
 5551
 463
 74

 1.531
 1.530

250
 5491
 419
 55

 1.519
 1.515

300
 5433
 382
 37

 1.507
 1.502

2,2,4Trimethy1 Pentane 125° C (31)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

50
 5993
 839
 360

 1.641
 1.639

100
 5926
 726
 277

 1.615
 1.614

150
 5860
 640
 212

 1.593
 1.593

200
 5797
 572
 157

 1.575
 1.573

250
 5734
 518
 120

 1.559
 1.556

300
 5673
 472
 83

 1.545
 1.541

1Pentene 80° C (32)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

49.0
 6000
 632
 673

 1.707
 1.717

101.5
 5948
 561
 536

 1.681
 1.687

154.1
 5896
 504
 399

 1.656
 1.662

206.7
 5846
 458
 305

 1.637
 1.640

259.4
 5796
 419
 231

 1.621
 1.621

311.8
 5747
 387
 168

 1.606
 1.605

1Pentene 100° C (32)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

49.0
 6237
 776
 1093

 1.787
 1.789

101.5
 6182
 689
 862

 1.750
 1.749

154.1
 6129
 619
 694

 1.720
 1.716

206.7
 6076
 562
 536

 1.694
 1.689

259.4
 6024
 514
 399

 1.670
 1.666

311.8
 5973
 474
 305

 1.651
 1.647

Nonane 400° F (20)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 13033
 2726
 1559

 3.570
 3.56

2000
 12857
 2303
 1151

 3.469
 3.46

3000
 12685
 1993
 835

 3.389
 3.38

4000
 12518
 1757
 575

 3.323
 3.32

5000
 12355
 1571
 390

 3.269
 3.27

6000
 12196
 1421
 260

 3.226
 3.22

7000
 12042
 1297
 167

 3.188
 3.18

8000
 11891
 1193
 111

 3.157
 3.15

9000
 11744
 1104
 74

 3.130
 3.12

10000
 11601
 1027
 37

 3.104
 3.09

2Methyl Propane 160° F (21)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

500
 10562
 997
 3003
 24
 .03200
 .03215

1000
 10449
 866
 2648
 12
 .03139
 .03139

1500
 10340
 763
 2331
 8
 .03086
 .03079

2000
 10232
 683
 1996
 6
 .03033
 .03027

2500
 10127
 617
 1734
 5
 .02990
 .02986

3000
 10024
 563
 1511
 4
 .02952
 .02944

Propene 70° F (22)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 9778
 369
 2133
 5
 .03033
 .03026

2000
 9592
 296
 1613
 3
 .02955
 .02943

3000
 9413
 247
 1183
 2
 .02889
 .02883

4000
 9241
 212
 842
 1
 .02834
 .02832

5000
 9075
 185
 609
 1
 .02792
 .02790

6000
 8915
 165
 412
 1
 .02754
 .02755

7000
 8760
 148
 269
 1
 .02722
 .02725

8000
 8611
 135
 179
 1
 .02697
 .02696

9000
 8467
 124
 108
 1
 .02675
 .02670

10000
 8327
 114
 72
 1
 .02656
 .02645

Ammonia 30° C (33)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

100
 5911
 273
 747

 1.657
 1.658

200
 5820
 227
 639

 1.633
 1.637

300
 5732
 193
 552

 1.612
 1.608

400
 5646
 169
 465

 1.592
 1.593

500
 5563
 150
 390

 1.575
 1.577

600
 5482
 134
 325

 1.558
 1.558

700
 5404
 122
 271

 1.544
 1.543

800
 5328
 112
 227

 3.531
 1.530

900
 5254
 103
 184

 1.518
 1.519

1000
 5182
 96
 152

 1.507
 1.511

1100
 5112
 89
 119

 1.496
 1.503

Ammonia 110° C (33)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

100
 6935
 978
 2198
 2679
 2.243
 2.235

200
 6827
 790
 2017
 1340
 2.062
 2.080

300
 6722
 663
 1848
 893
 1.977
 1.903

400
 6621
 571
 1680
 670
 1.918
 1.918

500
 6523
 501
 1523
 536
 1.873
 1.868

600
 6427
 447
 1373
 447
 1.834
 1.830

700
 6335
 403
 1228
 383
 1.799
 1.793

800
 6245
 367
 1096
 335
 1.769
 1.763

900
 6157
 337
 975
 298
 1.741
 1.733

1000
 6072
 311
 855
 268
 1.715
 1.710

1100
 5989
 289
 753
 244
 1.692
 1.688

Hydrogen Sulfide 40° F (25)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 2099
 65
 304
 .
 650
 .652

2000
 2075
 56
 261

 .643
 .643

3000
 2052
 49
 224

 .636
 .635

4000
 2030
 44
 190

 .630
 .627

5000
 2008
 40
 156

 .624
 .621

6000
 1986
 36
 131

 .619
 .614

7000
 1965
 33
 110

 .614
 .6085

8000
 1944
 31
 89

 .610
 .604

9000
 1924
 29
 72

 .606
 .600

10000
 1904
 27
 59

 .602
 .598

1Butene 160° F (23)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 5601
 500
 1237
 3
 1.662
 1.676

2000
 5525
 421
 935
 1
 1.616
 1.625

3000
 5451
 364
 684
 1
 1.578
 1.585

4000
 5379
 320
 503
 1
 1.548
 1.555

5000
 5309
 286
 342
 1
 1.522
 1.530

6000
 5240
 258
 241
 0
 1.502
 1.509

7000
 5174
 235
 161

 1.485
 1.490

8000
 5109
 216
 101

 1.470
 1.473

9000
 5046
 200
 70

 1.459
 1.458

10000
 4984
 186
 40

 1.449
 1.444

1Butene 220° F (23)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 5956
 734
 2102
 246
 1.832
 1.852

2000
 5875
 615
 1682
 123
 1.757
 1.759

3000
 5796
 530
 1321
 82
 1.701
 1.695

4000
 5719
 465
 1021
 62
 1.655
 1.650

5000
 5644
 415
 764
 49
 1,615
 1.616

6000
 5571
 374
 566
 41
 1.583
 1.589

7000
 5500
 341
 403
 35
 1.556
 1.565

8000
 5431
 313
 283
 31
 1.534
 1.542

9000
 5364
 289
 197
 27
 1.516
 1.522

10000
 5298
 269
 129
 25
 1.500
 1.504

Benzene 100° F (24)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 6550
 350
 26

 .01847
 .01849

2000
 6475
 302
 13

 .01835
 .01836

3000
 6401
 265
 0

 .01821
 .01823

4000
 6328
 237


 .01811
 .01810

5000
 6258
 214


 .01802
 .01799

6000
 6188
 195


 .01793
 .01790

7000
 6121
 179


 .01785
 .01783

8000
 6054
 165


 .01777
 .01776

9000
 5990
 154


 .01769
 .01767

10000
 5926
 144


 .01762
 .01758

Benzene 220° F (24)

P
 V_{II}
 V_{III}
 Total V

 (L)
 (H)
 (A)
 (B)
 calc.
 obs.

1000
 7400
 895
 181

 .02002
 .02003

2000
 7314
 772
 117

 .01975
 .01981

3000
 7231
 678
 78

 .01953
 .01961

4000
 7149
 605
 39

 .01934
 .01942

5000
 7069
 546
 26

 .01919
 .01923

6000
 6991
 497
 13

 .01905
 .01907

7000
 6914
 457
 0

 .01892
 .01895

8000
 6839
 422


 .01881
 .01882

9000
 6766
 393


 .01871
 .01869

10000
 6695
 367


 .01861
 .01856

Table IV  4

LIQUID COMPRESSION
(HIGH PRESSURE)

Octane 50° C

V_{I} = .656
 P_{0} = 4535 Kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .373
 .029



1000
 .306
 .006
 .968
 .965

2000
 .259
 .004
 .919
 .920

3000
 .224
 .003
 .883
 .888

4000
 .198
 .002
 .856
 .864

5000
 .177
 .002
 .837
 .843

6000
 .161
 .001
 .818
 .825

7000
 .147
 .001
 .804
 .810

Decane 95° C

V_{I} = .653
 P_{0} = 5580 Kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .399
 .053



1000
 .338
 .014
 1.005
 .995

2000
 .294
 .008
 .955
 .946

3000
 .259
 .006
 .918
 .915

4000
 .232
 .004
 .889
 .888

5000
 .210
 .003
 .866
 .868

6000
 .192
 .003
 .848
 .848

7000
 .177
 .003
 .033
 .834

8000
 .164
 .002
 .819
 .822

Hexane 50° C

V_{I} = .653
 P_{0} = 3926 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .379
 0029



1000
 .302
 .006
 .961
 .957

2000
 .251
 .003
 .907
 .905

3000
 .215
 .002
 .870
 .872

4000
 .188
 .002
 .843
 .847

5000
 .167
 .001
 .821
 .826

6000
 .150
 .001
 .804
 .809

7000
 .136
 .001
 .790
 .794

8000
 .125
 .001
 .779
 .782

9000
 .115
 .001
 .769
 .771

10000
 .107
 .001
 .761
 .7615

11000
 .100
 .001
 .754
 .754

2Metlyl Butane 0° C

V_{I} = .647
 P_{0} = 3388 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .336
 .011



1000
 .259
 .002
 .908
 .903

2000
 .211
 .001
 .859
 .857

3000
 .178
 .001
 .826
 .826

4000
 .154
 .001
 .802
 .8025

5000
 .136

 .783
 .783

6000
 .121

 .768
 .767

7000
 .110

 .757
 .753

2,3Dimethyl Butane 95° C

V_{I} = .652
 Po = 3926 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .412
 .055



1000
 .328
 .011
 .991
 .988

2000
 .273
 .006
 .931
 0920

3000
 .234
 .004
 .890
 .884

4000
 .204
 .003
 .859
 .856

5000
 .181
 .003
 .036
 .834

6000
 .163
 .002
 .817
 .816

7000
 .148
 .002
 .802
 .801

8000
 .136
 .002
 .790
 .787

9000
 .125
 .001
 .778
 .776

10000
 .116
 .001
 .769
 .76115

11000
 .108
 .001
 .761
 .755

Hexane 95° C

V_{I} = .653
 P_{0} = 3926 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .141
 .054



1000
 .328
 .011
 .992


2000
 .272
 .006
 .931
 .930

3000
 .233
 .004
 .890
 .891

4000
 .204
 .003
 .860
 .863

5000
 .181
 .003
 .837
 .870

6000
 .163
 .002
 .818
 .8225

7000
 .148
 .002
 .803
 .807

8000
 .135
 .002
 .790
 .794

9000
 .125
 .001
 .779
 .782

10000
 .116
 .001
 .770
 .772

11000
 .108
 .001
 .762
 .763

214ethyl Butane 95° C

V_{I} = .653
 P_{0} = 5580 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .412
 .055



1000
 .318
 .010
 .975
 .981

2000
 .259
 .005
 .911
 .912

3000
 .219
 .004
 .870
 .871

4000
 .189
 .003
 .839
 .840

5000
 .166
 .002
 .815
 .818

6000
 .149
 .002
 .798
 ,800

7000
 .134
 .002
 .783
 .786

8000
 .123
 .001
 .771
 .771

2Methyl Pentane 95° C

V_{I} = .651
 P_{0} = 3926 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .42
 .055



1000
 .328
 .011
 .990
 .985

2000
 .273
 .006
 .930
 .923

3000
 .234
 .004
 .889
 .883

4000
 .204
 .003
 .858
 .855

5000
 .181
 .003
 .835
 .834

6000
 .163
 .002
 .816
 .818

7000
 .148
 .002
 .801
 .802

8000
 .136
 .002
 .789
 .787

9000
 .125
 .001
 .777
 .776

10000
 .116
 .001
 .768
 .766

2,3Dimethyl Butane 0° C

V_{I} = .652
 P_{0} = 3926 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .335
 .011



1000
 .267
 .002
 .921
 .915

2000
 .222
 .001
 .875
 .870

3000
 .190
 .001
 .843
 .8395

4000
 .166
 .001
 .819
 .818

5000
 .147
 .001
 .800
 .800

6000
 .133

 .785
 .7855

Propyl Alcohol 60° C

V_{I} = .720
 P_{0} = 4356 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .312
 .028



1000
 .254
 .006
 .980
 .978

2000
 .214
 .003
 .937
 .934

3000
 .185
 .002
 .907
 .906

4000
 .163
 .002
 .885
 .885

5000
 .145
 .001
 .866
 .867

6000
 .131
 .001
 .852
 .852

7000
 .120
 .001
 .841
 .839

8000
 .110
 .001
 .831
 .828

**

Anyl Alcohol 80° C

V_{I} = .699
 P_{0} = 4828 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .347
 .041



1000
 .287
 .009
 .995
 .914

2000
 .245
 .005
 .949
 .945

3000
 .214
 .004
 .917
 .914

4000
 .190
 .003
 .892
 .890

5000
 .170
 .002
 .871
 .871

6000
 .155
 .002
 .856
 .856

7000
 .142
 .002
 .843
 .842

8000
 .131
 .001
 .831
 .830

9000
 .121
 .001
 .821
 .819

10000
 .113
 .001
 .813
 .809

11000
 .106
 .001
 .806
 .800

12000
 .103
 .001
 .800
 .793

2Methyl Pentane, 0° C

V_{I} = .651
 P_{0} = 3926 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .335
 .011



1000
 .267
 .002
 .920
 .913

2000
 .222
 .001
 .874
 .871

3000
 .190
 .001
 .842
 .842

4000
 .165
 .001
 .818
 .819

5000
 .147
 .001
 .799
 .801

6000
 .133

 .784
 .784

Butyl Alcohol 50° C

V_{I} = .708
 P_{0} = 4857 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .320
 .025



1000
 .265
 .006
 .979
 .978

2000
 .227
 .003
 .938
 .937

3000
 .198
 .002
 .908
 .909

4000
 .175
 .002
 .885
 .887

5000
 .158
 .001
 .867
 .868

6000
 .143
 .001
 .852
 .853

7000
 .131
 .001
 .840
 .839

8000
 .121
 .001
 .830
 .827

**

Acetone 60° C

V_{I} = .647
 P_{0} = 5045 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .393
 .035



1000
 .328
 .008
 .983
 .992

2000
 .281
 .005
 .933
 .937

3000
 .246
 .003
 .896
 .900

4000
 .220
 .003
 .870
 .8725

5000
 .197
 .002
 .846
 .851

6000
 .180
 .002
 .829
 .834

7000
 .165
 .002
 .814
 .818

8003
 .152
 .001
 .000
 .804

9000
 .141
 .001
 .789
 .791

10000
 .132
 .001
 .780
 .780

11000
 .124
 .001
 .772
 .770

12000
 .116
 .001
 .764
 .761

Ethyl Chloride 20° C

V_{I} = .653
 P_{0} = 3167 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .329
 .015



1000
 .250
 .003
 .926
 .928

2000
 .202
 .001
 .876
 .877

3000
 .169
 .001
 .843
 .844

4000
 .145
 .001
 .819
 .820

5000
 .128
 .001
 .802
 .799

**

Ethyl Bromide 20° C

V_{I} = .650
 P_{0} = 4884 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .357
 .017



1000
 .296
 .004
 .950
 .948

2000
 .253
 .002
 .905
 .904

3000
 .223
 .002
 .873
 .878

4000
 .196
 .001
 .847
 .8505

5000
 .176
 .001
 .827
 .832

6000
 .160
 .001
 .811
 .816

7000
 .147
 .001
 .798
 .802

8000
 .135
 .001
 .786
 .790

9000
 .126
 .001
 .777
 .779

10000
 .117
 .001
 .768
 .769

11000
 .110

 .760
 .760

12000
 .103

 .753
 .752

Butyl Bromide 0° C

V_{I} = .651
 P_{0} = 5846 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .338
 .011



1000
 .289
 .003
 .943
 .938

2000
 .252
 .002
 .905
 .9025

3000
 .223
 .001
 .875
 .874

4000
 .201
 .001
 .853
 .853

5000
 .182
 .001
 .834
 .836

6000
 .167
 .001
 .819
 .821

7000
 .154
 .001
 .806
 .808

8000
 .143

 .794
 .797

9000
 .133

 .784
 .786

10000
 .125

 .776
 .777

11000
 .117

 .768
 .768

12000
 .111

 .762
 .761

Propyl Chloride 0° C

V_{I} = .675
 P_{0} = 3684 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .313
 .010



1000
 .246
 .002
 . 923
 .926

2000
 .203
 .001
 .879
 .888

3000
 .173
 .001
 .849
 .854

4000
 .150
 .001
 .826
 .832

5000
 .133

 .808
 .814

6000
 .119

 .794
 .799

7000
 .108

 .783
 .785

8000
 .099

 .774
 .773

9000
 .091

 .766
 .7625

**

Propyl Bromide 0° C

V_{I} = .651
 P_{0} = 5358 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .338
 .011



1000
 .285
 .003
 .939
 .936

2000
 .246
 .002
 .899
 .897

3000
 .217
 .001
 .869
 .8695

4000
 .194
 .001
 .846
 .848

5000
 .175
 .001
 .827
 .829

6000
 .159
 .001
 .811
 .813

7000
 .147
 .001
 .7/9
 .800

8000
 .136

 .786
 .789

9000
 .126

 .777
 .778

10000
 .118

 .769
 .769

11000
 .111

 .762
 .7595

12000
 .104

 .755
 .7515

Amyl Bromide 0° C

V_{I} = .664
 P_{0} = 5708 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .326
 .010



1000
 .277
 .003
 .944
 .943

2000
 .241
 .002
 .907
 .907

3000
 .214
 .001
 .879
 .881

4000
 .192
 .001
 .857
 .860

5000
 .174
 .001
 .839
 .843

6000
 .159
 .001
 .824
 .828

7000
 .146

 .810
 .815

8000
 .136

 .800
 .804

9000
 .127

 .791
 .793

Ethyl Ether 20° C

V_{I} = .657
 P_{0} = 5738 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .333
 .016



1000
 .261
 .003
 .934
 .936

2000
 .215
 .002
 .887
 .887

3000
 .182
 .001
 .853
 .853

4000
 .158
 .001
 .829
 .8275

5000
 .140
 .001
 .811
 .807

6000
 .125
 .001
 .796
 .792

**

Butal Iodide 50° C

V_{I} = .653
 P_{0} = 5580 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .368
 .028



1000
 .312
 .007
 .984
 .9785

2000
 .270
 .004
 .939
 .936

3000
 .239
 .003
 .907
 .907

4000
 .214
 .002
 .881
 .883

5000
 .193
 .002
 .859
 .864

6000
 .177
 .002
 .844
 .847

7000
 .162
 .001
 .828
 .833

8000
 .150
 .001
 .816
 .821

9000
 .140
 .001
 .806
 .810

10000
 .131
 .001
 .798
 .7995

11000
 .123
 .001
 .789
 .7905

12000
 .116
 .001
 .782
 .782

Phosphorus Trichloride 80° C

V_{I} = .651
 P_{0} = 6113 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .403
 .047



1000
 .346
 .013
 1,010
 1.0065

2000
 .304
 .008
 .963
 .956

3000
 .270
 .005
 .926
 .922

4000
 .241
 .004
 .899
 .896

5000
 .222
 .003
 .876
 .876

6000
 .203
 .003
 .857
 .860

7000
 .188
 .002
 .841
 .8115

8000
 .115
 .002
 .828
 .832

9000
 .163
 .002
 .816
 .821

10000
 .153
 .002
 .806
 .811

11000
 .144
 .002
 .797
 .801

12000
 .136
 .001
 .788
 .793

Benzene 95° C

V_{I} = .649
 P_{0} = 5938 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .413
 .055



1000
 .353
 .015
 1.017
 1.020

1500
 .330
 .011
 .990
 .992

2000
 .309
 .009
 .967
 .968

2500
 .291
 .007
 .947
 .949

3000
 .274
 .006
 .929
 .932

3500
 .260
 .005
 .914
 .918

Carbon Disulfide 20° C

V_{I} = .657
 P_{0} = 5738 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .350
 .017



1000
 .298
 .005
 .960
 .959

2000
 .260
 .003
 .920
 .917

3000
 .230
 .002
 .888
 .888

4000
 .206
 .001
 .864
 .865

5000
 .187
 .001
 .845
 .845

6000
 .171
 .001
 .829
 .8295

7000
 .158
 .001
 .816
 .815

8000
 .146
 .001
 .804
 .802

9000
 .136
 .001
 .794
 .792

10000
 .128
 .001
 .786
 .7805

11000
 .120
 .001
 .778
 .7715

12000
 .113

 .770
 .766

Carbon Disulfide 80° C

V_{I} = .657
 P_{0} = 5738 kg/cm^{2}

P
 V_{II}(L)
 V_{II}(H)
 calc.
 obs.

0
 .395
 .046



1000
 .336
 .012
 1.005
 1,008

2000
 .293
 .007
 .957
 .955

3000
 .259
 .005
 .921
 .9185

4000
 .233
 .004
 .894
 .890

5000
 .211
 .003
 .871
 .868

6000
 .193
 .003
 .853
 .850

7000
 .178
 .002
 .837
 .835

8000
 .165
 .002
 .824
 .822

9000
 .154
 .002
 .813
 .811

10000
 .144
 .002
 .803
 .900

11000
 .135
 .001
 .793
 .789

12000
 .128
 .001
 .786
 .7795

REFERENCES
13. Smith, L. Be, Beattie, J. A*, and Kay, W. C., J.
Am. Chem. Soc., 591587.
14. For a bibliography of Bridgman's reports see his
book “The Physics of High Pressure.” G. Bell & Sons'. Ltd.,
London, 1958.
15. Reamer, H. H., Sage, B. H., and Lacey., W. N., Ind,
Eng. Chem. 41482.
16. Olds, R. H., Reamer, H. H., Sage B. H., and Lacey.,
W. M. Ibid., 36282.
17. Sage, B. H., and Lacey., W. N., Ibid., 34732.
18. Stewart, D. E., Sage, B. H., and Lacey., W. N. Ibid.,
462529.
19. Nichols, W. B., Reamer, H. H., and Sage., B. H. Ibid.,
472219.
20. Carmichael, L. T., and Sage, B. H., Ibid., 452697.
21. Sage., B. H., and Lacey., W. N., Ibid., 30673.
22. Farrington., P. S., and Sage,, B. H., Ibid., 411734.
23. Olds., R. H., Sage. B. H., and Lacey., W. N., Ibid.,
38301
24. Glanville, J. W., and Sage, B. H., Ibid. 411272.
25. Reamer., H. H., Sage., B. H., and Lacey, W. N., Ibid.,
42140.
26. Kelso E. A., and Felsing, W. A.,, J. Am. Chem. Sec.,
623132.
27. Felsing, W. A., and Watson., G. M., Ibid., 641822.
28. Day, H. 0., and Felsing, W. A., Ibid., 741952.
29, Felsing, W. A., and Watson., G. M., Ibid., 651889.
20. Kelso, E. A., and Felsing, W. A., Ind. Eng. Chem.,
34161.
31. Felsing, W. A., and Watson, G. M., J. Am. Chem. soc.,
65780.
32. Day, H. O., and Felsing, W. A., Ibid., 734839.
33. Keyes, Frederick G., Ibid., 53967.
