The two-phase specific heat at constant volume of propane in the critical region

Abdulagatov, Ilmutdin M.; Levina, L.N.; Zakar'yaev, Z. R.; Mamchenkova, O.N.

doi:10.1016/s0378-3812(96)03009-9

Cited by 38 publications

(19 citation statements)

References 25 publications

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“…Depending on temperature, the values calculated from the equations of state of Younglove and Ely [33] and Miyamoto and Watanabe [34] show deviations from our experimental results between 0.05% and >0.2%. Figure 2 presents a comparison between experimental results on the coexistence curve of propane (saturated-liquid densities, saturated-vapour densities, and vapour pressures) [39,41,[43][44][45][46][47][48][49][50][51][52][53][54][55][56][57] and values calculated from preliminary correlation equations of Bü cker and Wagner [26]. In comparison with other pure fluids, the previous data situation of propane with respect to the saturated-liquid densities was relatively good.…”

Section: Discussionmentioning

confidence: 90%

Measurement of the (p,ρ,T) relation of propane, propylene, n-butane, and isobutane in the temperature range from (95 to 340) K at pressures up to 12 MPa using an accurate two-sinker densimeter

Glos

Kleinrahm

Wagner

2004

The Journal of Chemical Thermodynamics

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Section: Discussionmentioning

confidence: 90%

Measurement of the (p,ρ,T) relation of propane, propylene, n-butane, and isobutane in the temperature range from (95 to 340) K at pressures up to 12 MPa using an accurate two-sinker densimeter

Glos

Kleinrahm

Wagner

2004

The Journal of Chemical Thermodynamics

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“…T , internal pressure P int at saturation can be calculated from the accurate calorimetric measurements (T S , ρ S , ρ S , γ V , γ V , γ S , C V 1 , C V 1 , C V 2 , C V 2 ) at saturation according to the well-known thermodynamic relations [39,40,83,97,98]:…”

Section: Derived Thermodynamic Properties Of Dee From Isochoric Heat-mentioning

confidence: 99%

Experimental Study of the Thermodynamic Properties of Diethyl Ether (DEE) at Saturation

et al. 2011

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The isochoric heat capacities C V 1 , C V 1 , C V 2 , C V 2 , saturation densities (ρ S and ρ S ), vapor pressures (P S ), thermal-pressure coefficients γ V = (∂ P/∂ T ) V , and first temperature derivatives of the vapor pressure γ S = (dP S /dT ) of diethyl ether (DEE) on the liquid-gas coexistence curve near the critical point have been measured with a high-temperature and high-pressure nearly constant-volume adiabatic piezocalorimeter. The measurements of (C V 1 , C V 1 , C V 2 , C V 2 ) were made in the liquid and vapor one-and two-phase regions along the coexistence curve. The calorimeter was additionally supplied with a calibrated extensometer to accurately and simultaneously measure the PVT , C V VT , and thermal-pressure coefficient, γ V , along the saturation curve. The measurements were carried out in the temperature range from 416 K to 466.845 K (the critical temperature) for 17 liquid and vapor densities from 212.6 kg · m −3 to 534.6 kg · m −3 . The quasi-static thermo-(reading of PRT, T − τ 123 560 Int J Thermophys (2011) 32:559-595 plot) and baro-gram (readings of the tensotransducer, P − τ plot) techniques were used to accurately measure the phase-transition parameters (P S , ρ S , T S ) and γ V . The total experimental uncertainty of density (ρ S ), pressure (P S ), temperature (T S ), isochoric heat capacities (C V 1 , C V 1 , C V 2 , C V 2 ), and thermal-pressure coefficient, γ V , were estimated to be 0.02 % to 0.05 %, 0.05 %, 15 mK, 2 % to 3 %, and 0.12 % to 1.5 %, respectively. The measured values of saturated caloric C V 1 , C V 1 , C V 2 , C V 2 and saturated thermal (P S , ρ S , T S ) properties were used to calculate other derived thermodynamic properties C P , C S , W, K T , P int , H vap , and (∂ V /∂ T ) P of DEE near the critical point. The second temperature derivatives of the vapor pressure, d 2 P S /dT 2 , and chemical potential, d 2 μ/dT 2 , were also calculated directly from the measured one-and two-phase liquid and vapor isochoric heat capacities (C V 1 , C V 1 , C V 2 , C V 2 ) near the critical point. The derived values of d 2 P S /dT 2 from calorimetric measurements were compared with values calculated from vapor-pressure equations. The measured and derived thermodynamic properties of DEE near the critical point were interpreted in terms of the "complete scaling" theory of critical phenomena. In particular, the effect of a Yang-Yang anomaly of strength R μ on the coexistence-curve diameter behavior near the critical point was studied. Extended scaling-type equations for the measured properties P S (T ), ρ S (T ), and (C V 1 , C V 1 , C V 2 , C V 2 ) as a function of temperature were developed.

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“…Therefore, the divergence of C V2 for sec-butanol is caused due to positive divergence T d 2 P S =dT 2 À Á and negative divergence -T d 2 =dT 2 À Á . The scaled strength of the anomaly in propane estimated by Fisher and Orkoulas [7] from previous our isochoric heat capacity measurements [57,58] is also large and positive, R ¼ 0.56. Our result for sec-butanol close to this value but opposite sign like carbon dioxide [7,9] (R ¼ À0.40).…”

Section: 2mentioning

confidence: 54%

“…For propane [7,8], the scaled strength of the Yang-Yang anomaly is R ¼ 0.56, for ethanol [56] R ¼ 0.12, for diethyl ether [25] R ¼ 0.35, for isobutanol [14] R ¼ À0.08, and for tert-butanol [13] R ¼ À0.03. Orkoulas et al [8] estimated the value of the Yang-Yang anomaly strength R for carbon dioxide (-0.35) and propane (0.56) using derived d 2 P S =dT 2 À Á and d 2 =dT 2 À Á from our previously published two-phase isochoric heat capacity data [57][58][59]. Our results for the YangYang anomaly strength R for sec-butanol from the present two-phase isochoric heat-capacity C V2 measurements is R ¼ À0.52 (A ¼ À12.8179 and A P ¼ 11.5156, see Table 5).…”

Section: 2mentioning

confidence: 99%

Experimental study of the isochoric heat capacity and coexistence-curve singular diameter of sec-butanol near the critical point and Yang-Yang anomaly strength

Radzhabova

Степанов

Abdulagatov

et al. 2013

Physics and Chemistry of Liquids

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One-and two-phase isochoric heat capacities (C V ) and saturated liquid and vapour densities (T S , 0 S and 00 S ) of sec-butanol near the critical point have been measured with a high-temperature and high-pressure nearly constantvolume adiabatic calorimeter. The measurements were made in the temperature range from 307 K to 551 K for 22 liquid and vapour isochores from 76.44 to 794.06 kg m À3 . The isochoric heat capacity jump (quasi-static thermograms supplemented by the sensor of adiabatic control) technique have been used to accurately measure of the phase transition parameters (T S , S ) near the critical point. The total experimental uncertainty of density (), temperature (T) and isochoric heat capacity (C V ) measurements were estimated to be 0.06%, 15 mK and 2-3%, respectively. The critical temperature (T C ¼ 535.95 AE 0.02 K) and the critical density ( C ¼ 276.40 AE 2 kg m À3 ) for sec-butanol were determined from the measured saturated properties (C VS , T S , S ) near the critical point. The measured C V and saturated density (T S , S ) data near the critical point have been analysed and interpreted in terms of extended scaling theory for the selected thermodynamic paths (critical isochore and coexistence curve) to accurately calculate the values of the asymptotical critical amplitudes of heat capacity (A AE 0 ) and coexistence curve (B 0 ). The measured thermodynamic properties (C V , T S , S ) of sec-butanol near the critical point were also interpreted in terms of the 'complete scaling' theory of critical phenomena and the theory of logarithmic singularity of C V . In particular, the contributions of the 'incomplete' (B 2 t 1À ) and 'complete' (B 4 t 2 ) scaling terms on the coexistence-curve singular diameter were estimated. We determined the values of the asymmetry parameters a 3 and b 2 of the 'complete' scaling theory of coexistence curve singular diameter. The strength of the Yang-Yang anomaly R for sec-butanol was estimated using asymmetry parameters a 3 and the contribution of the second temperature derivative of vapour-pressure and chemical potential in the singularity of two-phase isochoric heat capacity, C V2 , at the critical point.

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The two-phase specific heat at constant volume of propane in the critical region

Cited by 38 publications

References 25 publications

Measurement of the (p,ρ,T) relation of propane, propylene, n-butane, and isobutane in the temperature range from (95 to 340) K at pressures up to 12 MPa using an accurate two-sinker densimeter

Measurement of the (p,ρ,T) relation of propane, propylene, n-butane, and isobutane in the temperature range from (95 to 340) K at pressures up to 12 MPa using an accurate two-sinker densimeter

Experimental Study of the Thermodynamic Properties of Diethyl Ether (DEE) at Saturation

Experimental study of the isochoric heat capacity and coexistence-curve singular diameter of sec-butanol near the critical point and Yang-Yang anomaly strength

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