Solubltes nd Therodync Propertes of SO n Ionc Lquds Men Jn, Yucu Hou, b Weze Wu, *, Shuhng Ren nd Shdong Tn, L Xo, nd Zhgng Le Stte Key Lbortory of Checl Resource Engneerng, Beng Unversty of Checl Technology, Beng 9, Chn; b Deprtent of Chestry, Tyun orl Unversty, Tyun 3, Chn Supportng nforton The odfed RK EoS, whch s eployed to correlte the experentl dt. The detls of the odfed RK EoS s expressed s follows. RT ( T ) P= (S) V b V ( V + b) where P s the pressure, T s the teperture, R s the del gs constnt, V s the olr volue, nd b s the preters for the odfed RK EoS. The preters, nd b, re expressed usng the followng equtons S nd S3, respectvely. R Tc ( T) =.4748 α( T ) (S) P c RT P c b=.8664 (S3) c where T c nd P c re the crtcl teperture nd pressure, respectvely. The teperture-dependent prt of the preter α for pure copounds s odeled by the followng eprcl for: * Correspondng uthor; El: wzwu@l.buct.edu.cn, Tel./Fx: +86 644763.
3 = α ( T ) = β (/ Tr Tr ) (S4) where T r s reduced teperture, T r = T/T c. β, β β nd β 3 re the constnts of pure copounds used for the odfed RK EOS. The EoS constnts for pure SO, [b][bf 4 ] nd [b][pf 6 ] were ten fro ltertures, 9,9 whle T c nd P c for [TMG]L nd [MEA]L were estted usng the ethod reported by Jobc et l. 34 β for [TMG]L nd [MEA]L were deterned through the bnry VLE dt nlyss wth β = nd β =β3 =. Pure coponent EOS preters, ncludng β, were lsted n Tble S. For generl -coponent xtures preters nd b were odeled n ters of ther respectve bnry ntercton preters nd the coposton of the xture (expressed through ole frctons x ). =, = f ( T )( ) x x (S5) The ter f (T ) s dopted to descrbe the nfluence of teperture on the xng rule for preter. f ( T ) = + τ T (S6) / where bnry preter τ = τ, nd τ =. The ter s bnry coposton-dependent preter ll ( x + x ) = l x + l x (S7) where = nd l s nother bnry ntercton preter.
b=, = ( b + b )( )( ) x x (S8) where bnry preter s ntroduced: the th speces. The fugcty coeffcent =, =. x s the ole frcton of φ of the th speces for the present EoS odel s gven by RT b V lnφ = ln + b ( ) + ( + ) ln (S9) P( V b) V b RTb( V + b) RTb b V + b where nd b re defned s follows. ll ( l l ) xx = f x (S) = ( l x + l x ) = = b ll ( l l ) x x ( b + b)( ) x b (S) ( l x + l x) In the bove odel, four bnry ntercton preters: l, l,, nd τ for ech bnry pr were de to correlte the SO solublty dt. Optl bnry ntercton preters for our present systes were shown n Tble S. The sotherl Px plots for [TMG]L+ SO, [MEA]L + SO, [b][bf 4 ] + SO nd [b][pf 6 ] + SO were provded n Fgures 3, 4 nd 5, respectvely. All the solubltes of SO over the entre rnge of experentlly nvestgted tepertures nd pressures were correlted successfully by the odfed RK EoS. The reltve bsolute devton (RAD) between the experentl results nd the correlton results for the solubltes of SO t our nvestgted pressures nd tepertures were not ore thn 4.4 %. Therefore, the odfed RK EoS cn be llowed for the drect clculton of solublty t gven teperture nd pressure. The reltve devton between.7 ol SO /ol [TMG]L t 33 K nd under. br reported by Hn et l. 8
nd the coputed dt by ths wor t the se condtons s.5 %. Actvty Coeffcents of ILs The ctvty coeffcents of ILs by usng the quntu checl Conductor-le Screenng Model for Rel Solvents (COSMO-RS) ethod. COSMO-RS ethod whch publshed by Klt predcts the therodync propertes of xtures on the bss of unoleculr quntu checl clcultons for the ndvdul olecules. The results re lst n the followng Tble S3. Fro Tble S3, we cn see both the ctvty coeffcents of [TMG]L nd [MEA]L re nerly equl to one. So the ctvty coeffcents of the coplex fored were lso ssued to equl to one.
Tble S. EoS Constnts for Pure Copounds Used n the Present Study SO [b][bf 4 ] b [b][pf 6 ] b [TMG]L [MEA]L Molr ss/g ol 64.7 6. 84.8 5.6 5.6 T C /K 43.64 894.9 95. 8.6 97.4 P C /MP 7.884 3.9.645.88 4.77 β..... β.4587.83.96.798.5 β.4879 β.5 3 Ten fro ref 9. b Ten fro ref 9.
Tble S. Optl Bnry Intercton Preters Syste / l l = τ = τ RAD/% SO /[b][bf 4 ].4.435.75 7.9366 4.4 SO /[b][pf 6 ].69.8369.9758 9.8346 3.7 SO /[TMG]L.45..3355 8.68.4 SO /[MEA]L.83.35.947 4.853.4
Tble S3. Actvty Coeffcents of ILs n the bnry xtures of ILs nd SO x SO γ [TMG]L x SO γ [MEA]L.344.9854..4.38.985.46.69.56.9656.348.43.59.9499.4.695.6.9443.44.867.66.9358.497.83.34.9877.57.57.379.9844.96.96.458.9756.85.46.538.9644.36.469.57.9593.39.597.68.955.443.87.8.997.6.3.3.99.35.4.48.98.39.55.49.9738.35.38.533.9685.346.4.57.9633.398.69