Liquid
to vapor–liquid, liquid–liquid to vapor–liquid–liquid,
and liquid to liquid–liquid transition pressures of (α-olefin
+ n-hexane + LLDPE) systems were measured using a
newly constructed and verified synthetic-visual high-pressure cell
and metallocene linear low-density polyethylene (LLDPE: M̅
w = 199 kg·mol–1, M̅
w/M̅
n = 2.62, 2.56 mol
% 1-hexene). New phase behavior data are reported for a quasibinary
(n-hexane + LLDPE) system at polymer mass percentages
of w
P = (0.5–5) wt % and quasiternary
(α-olefin + n-hexane + LLDPE) systems for w
P = 3 wt % and polymer-free α-olefin mass
percentages of up to 3 wt % ethylene, 20 wt % 1-butene, 100 wt % 1-hexene,
30 wt % 1-octene, and 30 wt % 1-decene. The reported data span temperatures
of T = (380–470) K and pressures of P = (0.5–13) MPa. They show that (i) transition temperatures
and pressures change linearly with α-olefin mass fraction in
the solvent; (ii) the C2 to C6 α-olefins
decrease, and the C8 to C10 α-olefins
increase the transition temperatures; and (iii) ethylene has a significant
antisolvency effect. The measured data are correlated and predicted
successfully with the modified Sanchez–Lacombe equation of
state.
The
lower critical end point temperatures of [ethylene + comonomer
+ n-hexane + linear low-density polyethylene (LLDPE)]
systems are shown to be strongly correlated with solvent average molecular
mass and mole fraction-averaged carbon number, but not solvent density
or critical temperature. A synthetic-visual method is used to measure
vapor–liquid, vapor–liquid–liquid, and liquid–liquid
phase boundaries for quasiquaternary (ethylene + comonomer + n-hexane + LLDPE) systems for the 1-butene, 4-methyl-1-pentene,
1-hexene, 1-octene, and 1-decene comonomers, and for quasiternary
(ethane/n-decane/4-methyl-1-pentene + n-hexane + LLDPE) systems. The reported data span temperatures of T = (375–465) K and pressures of P = (0.5–15) MPa. In all systems, the mass fraction of the
LLDPE (M̅
w = 199 kg·mol–1; M̅
w/M̅
n = 2.62; 2.56 mol % 1-hexene) was kept at 3 wt % and
solvent compositions were chosen to represent conditions found in
the solution polymerization process. The modified Sanchez–Lacombe
equation of state can predict the quasiquaternary systems’
phase behavior with moderate accuracy using parameters adjusted to
quasiternary data.
The
effect of temperature on the liquid–liquid equilibrium
(LLE) phase behavior of ternary (water + alcohol + entrainer) systems
comprised of the alcohols ethanol, isopropanol, and n-propanol and the entrainers diisopropyl ether (DIPE), cyclohexane,
and isooctane (excluding (water + n-propanol + DIPE))
was investigated for application to the decanter in heterogeneous
azeotropic distillation. LLE data were measured at ambient pressure
for the (water + isopropanol + cyclohexane), (water + isopropanol
+ isooctane), and (water + n-propanol + isooctane)
systems at 308.2 and 318.2 K and for the (water + n-propanol + cyclohexane) and (water + ethanol + isooctane) systems
at 318.2 K. These data, in conjunction with literature LLE data, show
that temperature has an effect on all systems investigated. As temperature
increases, the aqueous phase becomes depleted of and the organic phase
becomes enriched in alcohol. It appears that component polarities
play an important role in explaining the phase behavior. The systems
were correlated with the NRTL and UNIQUAC ACMs in Aspen Plus V8.2,
but reliable correlations were only obtained for the (water + ethanol
+ DIPE/cyclohexane/isooctane) and (water + ethanol/isopropanol/n-propanol + cyclohexane) systems. These correlations were
used to simulate the decanter water recoveries over a range of temperatures.
A simple method to predict the liquid–liquid
(LL), vapor–liquid
(VL), and vapor–liquid–liquid (VLL) boundaries of (solvent
+ polymer) systems found in the solution process is developed with
theoretical justification. The method is developed using the (solvent
+ LLDPE) data of only two polymers and applied to the (solvent + polymer)
data of 276 different systems containing 65 different solvent combinations
(up to five solvent constituents) and 69 different nonaromatic hydrocarbon
polymers with predominantly linear backbones. For data sets of interest
to the solution process, lower critical end point (LCEP) temperatures
and pressures can be estimated with average absolute deviations (AADs)
of 4 K and 0.2 MPa, respectively. The effects of ethylene and/or comonomer
addition and nitrogen addition are accurately predicted (VL/VLL: AAD
= 0.2 MPa, n = 1084; LL: AAD = 0.5 MPa, n = 1115). Good results are obtained when extending the results of
pure solvents to commercial-grade solvents.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.